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Paper Citation Record · LEDGER

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought?

As of 8 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2506.06716.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.06716 v1

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:58:47.102270Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

61 of 61 outbound references displayed

  • verified exact6
  • verified fuzzy30
  • unresolved16
  • parse uncertain0
  • malformed identifier9
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 331a1bf0-5755-4874-9565-f1f9d7f925e0 · outbound

This paper cites Mix Barrington, and Huong L ˆeThanh.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Mix Barrington, and Huong L ˆeThanh

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.937635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:38.706754Z digest=sha256:b8c0cb61eff404d0d1ca6ab01d625b2d74f2ee4d97a3dbcf47880f1be7a53ad1

Observation 5f427349-7eb6-40a7-a846-b489f0278f39 · outbound

This paper cites A very hard log-space counting class.Theor.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A very hard log-space counting class.Theor

Reference 2

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:57.805781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:38.778284Z digest=sha256:ca5a66f226930adb1e075f2e1801817df36730b0cc839f4ad33db1695e290a7c

Observation bf8797f0-4419-467c-8320-ca2db6c1016f · outbound

This paper cites Completeness, approximability and exponential time results for counting problems with easy decision version.Theoretical Computer Science, 915:55–73, 2022.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Completeness, approximability and exponential time results for counting problems with easy decision version.Theoretical Computer Science, 915:55–73, 2022

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.606099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:38.932690Z digest=sha256:db0e747388ca5f7d1ee685522cb19fea8e168eb2cece5acc7535dd542f38106f

Observation da28f84f-5494-4786-af38-dd5e43aa8b8d · outbound

This paper cites #NFA admits an FPRAS: efficient enumeration, counting, and uniform generation for logspace classes.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? #NFA admits an FPRAS: efficient enumeration, counting, and uniform generation for logspace classes.J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:39.079640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:39.079640Z digest=sha256:1bf247625296bf78f67f94932dd54405840968c19f5e6059a9a2f033d9ba4d81

Observation d7c88139-516f-4bb9-a7b9-25c7e4c0e1c5 · outbound

This paper cites Graph isomorphism is in spp.Information and Computation, 204(5):835–852, 2006.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Graph isomorphism is in spp.Information and Computation, 204(5):835–852, 2006

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.479354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:39.203202Z digest=sha256:96beccee007dab64a8d07123e2315f1cc152491f4e3b06d0c7a6fb8a8d97df2e

Observation cc5a09bf-dcbd-4549-aafd-92d34ea9ed3d · outbound

This paper cites Guest column: A panorama of counting problems the decision version of which is in p3.ACM SIGACT News, 53(3):46–68, 2022.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Guest column: A panorama of counting problems the decision version of which is in p3.ACM SIGACT News, 53(3):46–68, 2022

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.347217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:39.321615Z digest=sha256:3abd0c755c4cb252cf9deca707ad7fb3fd974ba7b91415ff9650be64ff78b5ab

Observation ba005760-958d-4252-bad1-18abf68bf564 · outbound

This paper cites On the power of counting the total number of computation paths of nptms.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On the power of counting the total number of computation paths of nptms

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.168054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:39.440896Z digest=sha256:7b753b8a260328a1d29b56a783cca6e4c631f0715aaf013bd2cfdda2a719ca1d

Observation 18ce6e19-c668-4d69-837d-76384fed4fbc · outbound

This paper cites Characterizations and approximability of hard counting classes below.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Characterizations and approximability of hard counting classes below

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:57.038116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:39.540684Z digest=sha256:5a0892f98d7c3986594aa3f656fee158251b69ac5f9778e2b8f10170edb07919

Observation 1ade1b93-7ab4-46c5-b727-650011e9aa2d · outbound

This paper cites Counting classes: Thresholds, parity, mods, and fewness.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting classes: Thresholds, parity, mods, and fewness

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.847267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:39.653372Z digest=sha256:3eb5059a3d0cef3fc3c9a1b4c4ab462984fd8b9841891e5857e9043c6243f660

Observation 641425c3-4c95-4c38-8ca8-1d7856f2bd11 · outbound

This paper cites Spielman.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Spielman

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:39.780252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:39.780252Z digest=sha256:440288bbcf36d52367581d6dadcf8815fca5b4875dbb45b4dbf65ec49a6776c7

Observation ff3b5354-3413-4585-9120-7b220fd52062 · outbound

This paper cites Handbook of Satisfiability, Second Edition.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Handbook of Satisfiability, Second Edition

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.599241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:39.890326Z digest=sha256:5f7969d61a138159e12b3883935e02cf8b4caaf183ebdc8a81b4863b56f03885

Observation 4f6cc2f2-eee1-490d-8de5-10fbf5e147cc · outbound

This paper cites Bodlaender, Paul S.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender, Paul S

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.006879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.006879Z digest=sha256:d31a00203fefdcdcdf4341ad546d1443ffca60a89f16de665fa450105356c276

Observation 55a07285-d3b3-4df8-8dfc-ff5bcb4093e5 · outbound

This paper cites Bodlaender and Ton Kloks.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender and Ton Kloks

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.378113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:40.117738Z digest=sha256:6adafbda750bf1b3f2aefa7f17a5e473d7c867f1e0c9b5dac6bbd046eace4831

Observation 7a9fbd6b-57bb-4932-a21e-6fe4ffbcccaa · outbound

This paper cites Bodlaender, Arie M.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Bodlaender, Arie M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.227082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:40.199292Z digest=sha256:7d094fb0e856a16cd245f670220e04c243164dfaa6019a996212e43a7853faa9

Observation 902eb0e5-37c9-4c3a-8e54-f787898cd640 · outbound

This paper cites Block interpolation: A framework for tight exponential-time counting complexity.Inf.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Block interpolation: A framework for tight exponential-time counting complexity.Inf

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T05:58:48.854938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:40.316452Z digest=sha256:220ac4bc3b04c73713f8e282320581e9bf9f946a4898bc14bdefc8dc0ad177ed

Observation 4a61bc67-9a7c-494d-a272-7aade4faea27 · outbound

This paper cites Counting mod- els for 2SAT and 3SAT formulae.Theor.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting mod- els for 2SAT and 3SAT formulae.Theor

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.437396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.437396Z digest=sha256:61ea0200c513dd4c1fca7a246925c2ba2b88d028922988599378179bb99edf04

Observation 66c9564f-85ac-4fde-94d6-ff528fcb7900 · outbound

This paper cites Exponential Time Complexity of the Permanent and the Tutte Polynomial.ACM Trans.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Exponential Time Complexity of the Permanent and the Tutte Polynomial.ACM Trans

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.535369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.535369Z digest=sha256:052e0eb68f514809efe08fb7e623109853b4d801968866a87eaca3cee1a9cf57

Observation 052c0c31-f1c9-4a4a-8835-971122702d80 · outbound

This paper cites Subtractive reductions and complete problems for counting complexity classes.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Subtractive reductions and complete problems for counting complexity classes

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:56.082521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:40.601385Z digest=sha256:098a9b2e153879bae052adf8279daa7e7f5a012e002aa02011d6457582f98089

Observation 09c4e352-7901-480e-8c90-c080f9bbc544 · outbound

This paper cites Dyer, Leslie Ann Goldberg, Catherine S.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Dyer, Leslie Ann Goldberg, Catherine S

Reference 19

Resolution
verified exact
doi, observed 2026-08-07T05:58:48.537033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:40.723391Z digest=sha256:a3b3364a0f3c7ca6f00111b30d14fa8885c8d95d9d6de4fdee744c0a8650f25e

Observation e3a4db97-3ba0-4466-925f-df115e9fcd47 · outbound

This paper cites Fenner, Lance Fortnow, and Stuart A.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Fenner, Lance Fortnow, and Stuart A

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:40.859225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:40.859225Z digest=sha256:e30deb99f802f906d220f7117f262bafbe2b9b280d35c7516ab1c36fda55cadd

Observation a3f3939b-7c2f-457c-8764-f19a56e24674 · outbound

This paper cites The model counting competition 2020.ACM J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The model counting competition 2020.ACM J

Reference 21

Resolution
verified exact
doi, observed 2026-08-07T05:58:48.237317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:41.012866Z digest=sha256:a9f2b644dd83dca2e887ebef0f136060d07b9e6946d9d27ada03903aaf944fa8

Observation 7ccaa7e8-3536-4a97-a90a-fb887e000007 · outbound

This paper cites Counting List Homomorphisms from Graphs of Bounded Treewidth: Tight Complexity Bounds.ACM Trans.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Counting List Homomorphisms from Graphs of Bounded Treewidth: Tight Complexity Bounds.ACM Trans

Reference 22

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:55.934500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:41.175627Z digest=sha256:080134da780fae7837d70a5a8849dea8d7d79c19e60bdcc25d25d6c4d1b9e0ff

Observation 4fdeb848-e27f-4f78-918a-63555bf71c97 · outbound

This paper cites PP is closed under truth-table reductions.Inf.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? PP is closed under truth-table reductions.Inf

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:41.365071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:41.365071Z digest=sha256:7c8fe2cc6d5d49282d5a1a194307dac8f0aa89904d07a4a794bd22d38135968d

Observation 0a4b2fd8-0b20-4d41-961c-b24971142073 · outbound

This paper cites Synthesis Lectures on Artificial Intelligence and Machine Learning.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Synthesis Lectures on Artificial Intelligence and Machine Learning

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:41.515682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:41.515682Z digest=sha256:2487c0c066390f0c692cab9dcb3e2414616f4f812a654c111c7396c7518fd0bf

Observation 76f4ff12-4b9e-45b4-803b-1f936be5de16 · outbound

This paper cites Almost optimal lower bounds for small depth circuits.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Almost optimal lower bounds for small depth circuits

Reference 25

Resolution
malformed identifier
no resolver link, observed 2026-08-07T05:58:41.683818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:41.683818Z digest=sha256:ce1643c345deda7950d7fadb55a28f9ed0ab7d542dabc6df1ab9cc30a6b21efa

Observation e776f00a-4fec-40c3-91c1-d0fca5f4ebba · outbound

This paper cites Relations among mod-classes.Theoretical Computer Science, 74(3):325–328, 1990.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Relations among mod-classes.Theoretical Computer Science, 74(3):325–328, 1990

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.798823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:41.859841Z digest=sha256:d98d137be11280e28494010df104d811a2e0fb996e98eb963b5b585c6ac509a6

Observation 27412ccc-4624-4095-8f1c-47e821c3de6b · outbound

This paper cites Mix Barrington.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Mix Barrington

Reference 27

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:55.658141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:42.014233Z digest=sha256:596884506114ad0d067d7f0b831244ea5d2d3f904f9fea6b09aa3038ba515008

Observation 5ad9b98c-10ac-4aff-89ab-d989516420b8 · outbound

This paper cites The complexity of the inertia and some closure properties of gapl.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The complexity of the inertia and some closure properties of gapl

Reference 28

Resolution
verified exact
doi, observed 2026-08-07T05:58:47.912035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:42.218448Z digest=sha256:1070d88b404256706104e8366a26dd4b9b6578a272b1b7ce4a14ff1468eea7e4

Observation 1b401f31-08b0-4125-8d52-29fc837c0c06 · outbound

This paper cites Nondeterministic space is closed under complemen- tation.SIAM J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Nondeterministic space is closed under complemen- tation.SIAM J

Reference 29

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:55.524207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:42.393515Z digest=sha256:835fce758e391f047ed2c7e97f26a9b36aa3b76e34571415c9b6fa8f330f8fc0

Observation 1c279249-f8e1-4533-ab84-8ef2a6e298a0 · outbound

This paper cites On the complexity of k- SAT.Journal of Computer and System Sciences, 62(2):367–375, 2001.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On the complexity of k- SAT.Journal of Computer and System Sciences, 62(2):367–375, 2001

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.392730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:42.599974Z digest=sha256:aaaeaf5fd226f195a42c07c08faac78fe31e42df683bf108c4690f2b45680fca

Observation 383d4887-aa71-47af-838c-0551235e5259 · outbound

This paper cites Some (in)translatability results for normal logic pro- grams and propositional theories.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Some (in)translatability results for normal logic pro- grams and propositional theories.J

Reference 31

Resolution
verified exact
doi, observed 2026-08-07T05:58:47.637698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:42.757463Z digest=sha256:abcdd0fed160ffbc9484d866aa18b44b41012df54cd4be95b067360372a1db39

Observation 7cc11030-a73f-45c4-bd9e-62db51eb02d5 · outbound

This paper cites Picturing counting reductions with the ZH-calculus.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Picturing counting reductions with the ZH-calculus

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:42.959138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:42.959138Z digest=sha256:a33187e701561232af5c4b74f0c4616c3ae2e1ca9d0c6beab19f6fb27e554422

Observation 63bbe88e-2beb-4b68-8d60-9194a4f5cc99 · outbound

This paper cites A faster fpras for# nfa.Proceedings of the ACM on Management of Data, 2(2):1–22, 2024.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A faster fpras for# nfa.Proceedings of the ACM on Management of Data, 2(2):1–22, 2024

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.244165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:43.102628Z digest=sha256:3f4f9607a8792e77c9de57731f7fe100319ec32130e51c1b3ea7dc2e8a6d4d56

Observation 5420c153-4e68-49ef-bb3c-2838607162a5 · outbound

This paper cites On closure properties of #P in the context of PF◦#P.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On closure properties of #P in the context of PF◦#P.J

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:43.255141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:43.255141Z digest=sha256:967a11728c370fa4075cbd3a16547c651c1d23907949aeb0596f4a1af5bc0d53

Observation fc61abb6-3e63-4193-99b0-571c9781c0b1 · outbound

This paper cites Hemachandra.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Hemachandra

Reference 35

Resolution
verified exact
doi, observed 2026-08-07T05:58:47.400477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:43.361750Z digest=sha256:d15791d8281c186ef8712f6b5facede76ea8606d8d4466d4162bd8a038891e4f

Observation 6a016b29-e4f4-40f8-b042-4544c6c4a0b9 · outbound

This paper cites The complexity of counting functions with easy decision version.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The complexity of counting functions with easy decision version

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:43.498255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:43.498255Z digest=sha256:67b70c027e425221959fd3e8add4d3caba6c1cc78f4eb8cf4571828d6eae4b9f

Observation 8852c54e-e552-4fa0-a060-edf3792770ab · outbound

This paper cites Two remarks on the power of counting.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Two remarks on the power of counting

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:55.083698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:43.650467Z digest=sha256:bcad0b9a12f88535250268c83cecc0ef4836e1dc5808b96b9404af54812fef9e

Observation d1f866cd-6647-43c7-ac10-df3079234f22 · outbound

This paper cites Algorithms for propositional model counting.J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Algorithms for propositional model counting.J

Reference 38

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:54.790060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:43.796361Z digest=sha256:b144f16746de64e14bd9a434306ad6499107fee242e0feee066d3ae89486f471

Observation 78d2f667-e9a6-4ad3-ba9a-b84fc0f18f2d · outbound

This paper cites A faster algorithm for propo- sitional model counting parameterized by incidence treewidth.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? A faster algorithm for propo- sitional model counting parameterized by incidence treewidth

Reference 39

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:54.587137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:43.909171Z digest=sha256:c7867631b02d8de2031cd7b1aa5b96809df6e035254e86ddd99a82cfb8886523

Observation d15f5e14-efbd-4cf7-892b-0abbdd09e224 · outbound

This paper cites Computational transition at the uniqueness threshold.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Computational transition at the uniqueness threshold

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:54.415391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:44.039186Z digest=sha256:ea63cba659211cf97e43355f5310de11b7d149603a9508a5809dafc452c14a53

Observation 196a81bf-e564-4ff5-8110-46be7c3be6e0 · outbound

This paper cites On closure properties of GapP.Comput.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? On closure properties of GapP.Comput

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:54.247477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:44.212530Z digest=sha256:d799f2c5980034dc0e1277e232e8d7ef30b464923dcb5b6155ba2dfcaf210ca9

Observation db3dd02f-5802-483f-be73-88afad5d06d3 · outbound

This paper cites PP is as hard as the polynomial-time hierarchy.SIAM J.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? PP is as hard as the polynomial-time hierarchy.SIAM J

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:44.358005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:44.358005Z digest=sha256:3219009586a2f59515709444dcef4e95df711a18b62779a04a19537615d5136e

Observation 5c07af07-e898-4fff-bcb7-8190c5a163e2 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 43

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:54.058358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:44.456589Z digest=sha256:5667b2dbaaf55d939369249a4798b4b6308c7e8740c6e65e7f22fd0cd42b3088

Observation 7142b327-95e8-4f9c-b7fd-c97b5a96ea09 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T05:58:44.612539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:58:44.612539Z digest=sha256:e2e8dd69c336922977b542e5cd5b7da74ded2967ba2906ff0196169152c671b4

Observation 8d64886f-70e0-4d54-8017-d00dbaf66cfd · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 45

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:58:53.890382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:44.779318Z digest=sha256:4bc3e8b01b00a08edb3bb9104716535ff9e89e98fca506b8c54b45e33406464b

Observation 8b636736-45de-4376-a319-872270e53279 · outbound

This paper cites Valiant and Vijay V.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Valiant and Vijay V

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:53.611759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:44.906476Z digest=sha256:f69023a63a6881b15c0880a5d4b9147f5cfcde2af1fa2a8bb7c595e397157f22

Observation 975ccdfd-0570-46f3-8224-811ff019b10c · outbound

This paper cites The symmetric rogue modelM ′ ofMis a satisfying assignment ofψ 2.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? The symmetric rogue modelM ′ ofMis a satisfying assignment ofψ 2

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:53.365614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:45.102213Z digest=sha256:07d8056f071c96c84002621474e56e3b169ac8b984983cc5d95b6c628e51307e

Observation bccfe671-c821-4fe1-bfcf-0a4eac6301dd · outbound

This paper cites Definition 36(Symmetric Rogue Model for Monotony).

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Definition 36(Symmetric Rogue Model for Monotony)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:53.100811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:45.250915Z digest=sha256:52ad5c66ffb362844ffddd847f849bd705d381b3f6a44b7781dc67e59efaea9d

Observation 62c0ba63-8993-4528-a934-3b0ba0bc1144 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:58:52.805533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:45.387122Z digest=sha256:5fd8afefc986fbc80e4c6a34aa6cc7e90cb158a3b435428a4e11b998e370d806

Observation 520aca3b-76ba-4fa3-8272-98ae2b9e839e · outbound

This paper cites Lemma 38.Letφbe aCNF,Tbe a fully labeled tree decomposition of it, andMbe a satisfying assignment ofψ ′ 1 that is rogue.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Lemma 38.Letφbe aCNF,Tbe a fully labeled tree decomposition of it, andMbe a satisfying assignment ofψ ′ 1 that is rogue

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:52.488101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:45.559473Z digest=sha256:97ace9cd32bb670f0c69b328dd27dca0944a1dccdaa11a3ea3876644ef1cd108

Observation 31a10da0-463b-44c5-87c5-63b1c0dc791d · outbound

This paper cites In order to show that(I)M ′ =f(M)is also rogue att ′, lett ⋆ be the node ofTsuch thatMis rogue att ⋆ withM not being rogue at an ancestor oft ⋆.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? In order to show that(I)M ′ =f(M)is also rogue att ′, lett ⋆ be the node ofTsuch thatMis rogue att ⋆ withM not being rogue at an ancestor oft ⋆

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:52.164000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:45.670492Z digest=sha256:955b2c4f6daf91c1049107bceed665f590bc668baf9290e7672a01959ee7fb16

Observation aa94e3e6-ab94-4113-865e-021714bdda2d · outbound

This paper cites gapP⊆[#2SAT−#2SAT] log.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? gapP⊆[#2SAT−#2SAT] log

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.904283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:45.848802Z digest=sha256:3e9a16f12e3e67dfd449112d188239a87fc3cbd8e34fca2444c2be11690daa8f

Observation eb5413aa-9f9c-48d3-a59c-5ac70cc89d8a · outbound

This paper cites ·” to “+.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? ·” to “+

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.582815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:45.981333Z digest=sha256:85c62e168646e2cbf39e3c297a696eab8be381c0f41d4cf8af8ac790fa498d4c

Observation 3413dc1e-427c-4a01-9c44-a4067a3032ef · outbound

This paper cites [#0,1-2DNF−#0,1-2DNF] log ⊆[#2DNF− #2DNF] log.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#0,1-2DNF−#0,1-2DNF] log ⊆[#2DNF− #2DNF] log

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.304653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:46.118591Z digest=sha256:8fa2467ed42472b5bac5d21d59171516a8986d84d903e5348475f8edf8db6fcb

Observation efb81016-9902-48fd-ad7a-9c48bd07a47a · outbound

This paper cites Now, it remains to construct formulasα, α ′ such that#(α)− #(α′) =c= (#(ψ 1) + #(ψ′ 2))−(#(ψ 2) + #(ψ′ 1)).

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Now, it remains to construct formulasα, α ′ such that#(α)− #(α′) =c= (#(ψ 1) + #(ψ′ 2))−(#(ψ 2) + #(ψ′ 1))

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:51.009694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:46.261771Z digest=sha256:bcc5c1ad87233baafd2a124f3b50839553b87f06d3300b43b87b294ad3d129fa

Observation deda8645-d4ec-4a36-ab28-0663598c01e6 · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:58:50.699252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:46.372443Z digest=sha256:79e6ab02a8845bfd51a435f0071cf1452981240bb6b8ae2fa312a8dc639a75bb

Observation c49e881e-f173-4179-904c-066aaffec31d · outbound

This paper cites [#MON2SAT−#MON2SAT] log ⊆[#MON2DNF− #MON2DNF] log.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#MON2SAT−#MON2SAT] log ⊆[#MON2DNF− #MON2DNF] log

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:50.418046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:46.519501Z digest=sha256:c2470f5a14176fb5b2cbddb95054cd3712b5621c2ffbed366542b10da92d731c

Observation c99e3e17-6dab-4032-994a-fab1064bbbdd · outbound

This paper cites an unresolved cited work.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:58:50.121603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:46.693483Z digest=sha256:9618bd0729907385063a99b1b2f967c6310bdf84beb18a9f7557882c54486aca

Observation afc9e1e7-5693-4516-84be-347572e7f089 · outbound

This paper cites degree3and bipartiteness.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? degree3and bipartiteness

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:49.853160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:46.828025Z digest=sha256:b235d40cd6e2d5d0a89665004a8ce9ea0f58961068f3203e86abe43eea948439

Observation 1d29fccd-b54b-4d01-afaf-81e850865382 · outbound

This paper cites gapP⊆[#IMPL2SAT] log AC0.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? gapP⊆[#IMPL2SAT] log AC0

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:49.576288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:46.949013Z digest=sha256:0f12952983ee79d276b63c1486882fe0d52e8ecc2f06ba28262e71581303ce05

Observation e0baac91-c4d0-467c-a00b-a6b0be0e7b0e · outbound

This paper cites [#IMPL2SAT] log AC0 = [#0,1-2DNF] log AC0.

#P is Sandwiched by One and Two #2DNF Calls: Is Subtraction Stronger Than We Thought? [#IMPL2SAT] log AC0 = [#0,1-2DNF] log AC0

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:58:49.293707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:58:47.102270Z digest=sha256:ac2fdab7ea381efaad86366576b6278f5e2b3f01a32d899f8bb75046225fc93a

Pith citing papers

No inbound Pith citation observations are available.