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Paper Citation Record · LEDGER

On Domination Exponents for Pairs of Graphs

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.12151.

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

pith.paper-citation-record.v1
2506.12151 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:18:39.798518Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-17T05:35:13.118221Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T05:35:13.269307Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact3
  • verified fuzzy23
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09cc2f41-2139-494e-a4a0-07c6ba041804 · outbound

This paper cites Ahlswede and G.O.H.

On Domination Exponents for Pairs of Graphs Ahlswede and G.O.H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:44.193570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:37.774615Z digest=sha256:8edbf72474e89160280b2ba547303caf5fec25e171987843f1bb2196b81fc30f

Observation 26e5db65-f821-45a6-89a4-93410a8f84c9 · outbound

This paper cites Alessandrini.

On Domination Exponents for Pairs of Graphs Alessandrini

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:44.055707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:37.804060Z digest=sha256:346841e9493febee6883a0c8a9a91c3a8ab533fc913a42dcaffc690c484ad8c8

Observation 4d2da736-d55c-4fe6-a3c2-c4260c2110b2 · outbound

This paper cites an unresolved cited work.

On Domination Exponents for Pairs of Graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:18:43.899003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:37.860543Z digest=sha256:f0b0541f9bd3c2ec18df590f6561a896a03e215e3c6ee4d7db54ddb2014c8625

Observation 6f62b20a-863c-4290-8d9d-35b942ff0219 · outbound

This paper cites Blekherman and A.

On Domination Exponents for Pairs of Graphs Blekherman and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.764491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:37.959851Z digest=sha256:f3c2b3918d7567c68072dc34d61efc6cba07ef7c5693f1a4c27b3d8c693122d9

Observation 3c2bdde0-aeba-4083-a370-f82e6a88979a · outbound

This paper cites Blekherman and A.

On Domination Exponents for Pairs of Graphs Blekherman and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.581732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.070488Z digest=sha256:afd56be449a7970314a03d53fac09597d7f819e4f5641e229d3c73ccdb2f6a74

Observation bca85e41-cd75-431f-95e2-bfa9cf6c82e2 · outbound

This paper cites Blekherman, A.

On Domination Exponents for Pairs of Graphs Blekherman, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.460066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.173103Z digest=sha256:ec089919a0b6087e15f986678d411a974dfe92cad0a005f8f71333c79d53c7e0

Observation 1f2a9fac-b34b-4157-8d4e-eb031f312249 · outbound

This paper cites Blekherman, A.

On Domination Exponents for Pairs of Graphs Blekherman, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.346545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.235848Z digest=sha256:a027fdd62228063c3247351ef2d4c01bb19cb67403e8fd6b765db28d2cd4877f

Observation b4a8f8c9-9ae7-45ff-90fb-977a5b5eeeeb · outbound

This paper cites Bollob´ as.

On Domination Exponents for Pairs of Graphs Bollob´ as

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:43.180824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.292418Z digest=sha256:2d5086e795b33d263d91637f4a3f4e517101b2069217f573ef131c986545d938

Observation 7a7e4b3f-a210-4a04-9f5b-bb23b54e420c · outbound

This paper cites Undecidability of polynomial inequalities in tournaments.

On Domination Exponents for Pairs of Graphs Undecidability of polynomial inequalities in tournaments

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:18:40.303339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.352000Z digest=sha256:9880168fba83d200bb2ef4d052edfc2feba88ec9f12d9a100e48225e07be0cc7

Observation f5a7ed98-24f4-4783-a2cb-a0228419a041 · outbound

This paper cites Conlon, J.

On Domination Exponents for Pairs of Graphs Conlon, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.962313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.426506Z digest=sha256:b66195eda086e2ef58dde8dde32dc7e92340350c4703f07e5b8deef31d30032d

Observation 0c706e7c-da48-4f53-ba7a-7ff4884af25e · outbound

This paper cites Domination inequalities and dominating graphs.

On Domination Exponents for Pairs of Graphs Domination inequalities and dominating graphs

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:18:40.160206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.516757Z digest=sha256:16e6cb7dbca775de16534e8cf82cf10d1cca0535763c7b86f15d2a13c053c80e

Observation b66319a1-6e0f-469a-a143-dac2af9f3c78 · outbound

This paper cites Dasc˘ alu and A.

On Domination Exponents for Pairs of Graphs Dasc˘ alu and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.789940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.608022Z digest=sha256:30f32608b153cda30c5d08a5b332a511c4063023b69f69acfa6fce2054e8b683

Observation f84e89c2-ff75-477a-8f3e-798f8646b1c8 · outbound

This paper cites Freedman, L.

On Domination Exponents for Pairs of Graphs Freedman, L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.621612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.707403Z digest=sha256:4f582731d049c10a32f2a8734b32a2b8e0f376cfee9ba4598c73b25c91b379e8

Observation 5c09b35f-9751-49fe-a430-5a8194f92c1c · outbound

This paper cites Hatami, and S.

On Domination Exponents for Pairs of Graphs Hatami, and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.429902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.814402Z digest=sha256:04e3e893ee67104c9bbb5d1158ac80a4b228292b94b1daf9165833d4c564ad64

Observation c446a957-4ab6-447c-bcf1-25b5add67643 · outbound

This paper cites Janson, K.

On Domination Exponents for Pairs of Graphs Janson, K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.309083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.882630Z digest=sha256:e73ae618995198e8eb3ead643a44dbdc0dbac9d501d263e229f954e05b99f517

Observation 33246299-2332-4295-a989-13bb0988ecca · outbound

This paper cites Kopparty and B.

On Domination Exponents for Pairs of Graphs Kopparty and B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.204339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:38.984857Z digest=sha256:6f0c22b2d0793abc23e1ce4ea5a3939c3e200e98b9fd67a6caae9abfed8dfe85

Observation 1c70dbee-6c91-490a-93cd-a231ba6f7f21 · outbound

This paper cites Lov´ asz.

On Domination Exponents for Pairs of Graphs Lov´ asz

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:42.038456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.055807Z digest=sha256:d53e4323d0f27a60788a80a615a0a8e0d424de712113fad05722593a19ab6ef9

Observation f9791d70-741b-42c8-998c-07eb5488fd9a · outbound

This paper cites Lov´ asz.

On Domination Exponents for Pairs of Graphs Lov´ asz

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.919237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.120583Z digest=sha256:2d6358f914811944f8f8b43ed43fc5b0999dac7adb039568ccbc600ad1ec11c8

Observation 488fb0e6-fb2f-45d6-b288-b3db0b369a4a · outbound

This paper cites Lov´ asz.Large Networks and Graph Limits.Amer.

On Domination Exponents for Pairs of Graphs Lov´ asz.Large Networks and Graph Limits.Amer

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.796870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.177727Z digest=sha256:f96ea4df3f496dc209eb88bfd06ff8684de631ab0554ed7387e9595438afeb11

Observation 1caaf844-1b29-4b29-9413-02ec1fa31434 · outbound

This paper cites Random graphons and a weak Positivstellensatz for graphs.

On Domination Exponents for Pairs of Graphs Random graphons and a weak Positivstellensatz for graphs

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.639585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.218865Z digest=sha256:9968cbd21dd473743681353befaa1cd93f14b6af17b156cd8ba16714461defc5

Observation c445e49d-b8c6-4ca6-965f-3af9f5cefab4 · outbound

This paper cites Nikiforov.

On Domination Exponents for Pairs of Graphs Nikiforov

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.507476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.267405Z digest=sha256:5e72be5fdbeb61da03dca205ed53c310f4ec631ed1e2b762dcf706995c2e5597

Observation 51a92b70-98a6-41fe-95fe-0591c46b3f77 · outbound

This paper cites Razborov.

On Domination Exponents for Pairs of Graphs Razborov

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.320459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.319904Z digest=sha256:042db7f80f2a5459a86a8aa8146e15f7af88acd8fc98b9b4d42e1d468710c316

Observation 99914e89-37e9-405d-9bc2-00e8b6d85d40 · outbound

This paper cites Razborov.

On Domination Exponents for Pairs of Graphs Razborov

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:41.208157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.376489Z digest=sha256:18c02840bebed82e184766640220e46751855ff44cb17ac5e8985b1c5f422d7f

Observation 3eb79a15-e43f-40f2-913c-cbc3f3cd826f · outbound

This paper cites an unresolved cited work.

On Domination Exponents for Pairs of Graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:18:41.019454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.456086Z digest=sha256:ecf329710d96d974896d107ebb6c285e8167adf6a13d015a689464c62793855b

Observation d6f5426a-95b0-4822-9277-24ad0645864a · outbound

This paper cites Sa˘ glam.

On Domination Exponents for Pairs of Graphs Sa˘ glam

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:40.836052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.513490Z digest=sha256:6a30a4676beb688f0edc41ad1eee4537860cb77933ad0e8870738775707837d2

Observation b13ba2c4-8e7c-4d47-863b-21a7c1f9955a · outbound

This paper cites Sidorenko.

On Domination Exponents for Pairs of Graphs Sidorenko

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:40.628624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.575366Z digest=sha256:a4228e6d788cd455b2be8499006fb4b774741719ba97af69215b72e59b311637

Observation 023a16d6-ae87-4b7e-8b27-09dac9dfb8e8 · outbound

This paper cites Sidorenko.

On Domination Exponents for Pairs of Graphs Sidorenko

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:18:40.437939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.700940Z digest=sha256:837b891b4ccaa8cd4b2e296e241aded6962b8bac5cbec82fa1a6668b4b314ab0

Observation 0f5523dd-2de8-4000-a4c5-ae8e856b671c · outbound

This paper cites The Graph Density Domination Exponent.

On Domination Exponents for Pairs of Graphs The Graph Density Domination Exponent

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:18:40.003665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:18:39.798518Z digest=sha256:c342e409af9c667a18588601ebc439bcd55d4f7670a81b1b394376219532c5e2

Pith citing papers

Observation 9fc83d9f-0dd9-4850-9e04-6db2dcce43e6 · inbound

Adaptive Chain-of-Focus Reasoning via Dynamic Visual Search and Zooming for Efficient VLMs cites this paper.

Adaptive Chain-of-Focus Reasoning via Dynamic Visual Search and Zooming for Efficient VLMs On Domination Exponents for Pairs of Graphs

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-17T05:35:13.271559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-17T05:35:13.118221Z digest=sha256:eb5caf115a0e7b6ce9903dd451c7766d1d9fe1c718e6b08b608e479c47876dec