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Paper Citation Record · LEDGER

Forcing Graphs to be Forcing

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2412.12904.

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

pith.paper-citation-record.v1
2412.12904 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:49:22.942207Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T05:36:13.291635Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T14:14:45.997579Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact1
  • verified fuzzy22
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 34f8010c-35ce-45a7-b815-c73806398009 · outbound

This paper cites Combinatorics, Probabili ty and Computing 29(1), 44–67 (2020).

Forcing Graphs to be Forcing Combinatorics, Probabili ty and Computing 29(1), 44–67 (2020)

Reference 1

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no resolver link, observed 2026-08-11T13:49:22.724438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:49:22.724438Z digest=sha256:26c12da4bc3c2c5565c159753a8ded04160b5f87cf5855083d7a8145c5bd265c

Observation 0184c32b-e31f-45c1-8ced-4bea26484e71 · outbound

This paper cites Combinatorica 40(4), 455–471 (2020).

Forcing Graphs to be Forcing Combinatorica 40(4), 455–471 (2020)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.861688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.732973Z digest=sha256:29a21f0e4a8acf3c58e08e0541eb78032a97bc1ed6a19bf7bb99e5d46feedad2

Observation 00c0bf7f-c43d-4e10-8a0a-8b35fabf0552 · outbound

This paper cites Combinatorica 9, 345–362 (1989) 18.

Forcing Graphs to be Forcing Combinatorica 9, 345–362 (1989) 18

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.820338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.743072Z digest=sha256:6df0e5e0eba2856e5d85c4831d54415f80b2063678339d97ec9a0ed80010bca2

Observation e244acfd-ecbf-4c09-a338-6d157fa76bce · outbound

This paper cites Geo- metric and Functional Analysis 20, 1354–1366 (2010).

Forcing Graphs to be Forcing Geo- metric and Functional Analysis 20, 1354–1366 (2010)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.779275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.749642Z digest=sha256:b175870e4aede42e6deed2ba44acf39a3a49bd3eb0e7d38fe794b5e8a234a26d

Observation cece9346-8de0-44d0-8178-286404abf56a · outbound

This paper cites Random Structures & Algorithms 40(1), 1–38 (2012).

Forcing Graphs to be Forcing Random Structures & Algorithms 40(1), 1–38 (2012)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.754916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.754767Z digest=sha256:3879c837044aa94b2cd2a913badee1e47580dff2c4700ff452eef159ff76bb02

Observation ea9ed00f-e946-45e6-99d6-05c9ad2ada3a · outbound

This paper cites Journal of the London Mathematical Society 98(3), 593–608 (2018).

Forcing Graphs to be Forcing Journal of the London Mathematical Society 98(3), 593–608 (2018)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.741183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.763002Z digest=sha256:adaa271de1bc121d8f22e7ee4ef6f5f0eea6709bba012d820264b54e167515cc

Observation df7eccff-000c-46e9-b9ea-f8d17b011ac6 · outbound

This paper cites Advances in Mathematics 315, 130–165 (2017).

Forcing Graphs to be Forcing Advances in Mathematics 315, 130–165 (2017)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.710059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.773598Z digest=sha256:92d3682590a8f66bb93c2aff109258eb906c7493fd3788c4b844ed34e348ffcc

Observation 80ac81b1-82fc-45c1-b770-a2871c548cd3 · outbound

This paper cites Discrete Analysis (mar 30 2021).

Forcing Graphs to be Forcing Discrete Analysis (mar 30 2021)

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T13:49:22.779242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:49:22.779242Z digest=sha256:bd3ebc0ffeffa4affe89e4ef480742826132eb5b89ed9c7b048a3b76fca3ffe8

Observation 005d8c29-1ba0-42c9-9daa-e3385656552c · outbound

This paper cites International Mathematics Research Notices 2024(13), 10285–10297 (04 2024).

Forcing Graphs to be Forcing International Mathematics Research Notices 2024(13), 10285–10297 (04 2024)

Reference 9

Resolution
verified exact
doi, observed 2026-08-11T13:49:23.004312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.790400Z digest=sha256:e7eb62daccc6ba904b4741172b8b67173152f919a833fbbce4a2ee3113f97403

Observation afde11a6-ce22-436d-a893-477991f56d4f · outbound

This paper cites Russian Mathematical Surveys 75(4), 627 (2020).

Forcing Graphs to be Forcing Russian Mathematical Surveys 75(4), 627 (2020)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.674149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.800746Z digest=sha256:d38e48eff9122c0dd99caeb3c077570449db36be56aab3fdd4d32d71ae15b245

Observation 827537b2-71ed-4bdb-a549-ffd1b61d79d4 · outbound

This paper cites Non-trivial squares and Sidorenko's conjecture.

Forcing Graphs to be Forcing Non-trivial squares and Sidorenko's conjecture

Reference 11

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T13:49:23.248212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.808870Z digest=sha256:ac3ecce8fe0aa9631dc4299c40f59b56f92515250168aef54c95611c0711a329

Observation a0ac445b-21a6-4664-bf3c-af2ad1296bb0 · outbound

This paper cites Journal of Pure and Applied Algebra 192(1-3), 95–128 (2004).

Forcing Graphs to be Forcing Journal of Pure and Applied Algebra 192(1-3), 95–128 (2004)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.661770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.818176Z digest=sha256:7b2b515f541ec513366ab4a0e6b965893849822d0ae1138384f39392c2dab77c

Observation a31fc7ea-4983-4978-a414-0e75e531fda9 · outbound

This paper cites The American Mathematical Monthly 66(9), 778–783 (1959).

Forcing Graphs to be Forcing The American Mathematical Monthly 66(9), 778–783 (1959)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.629486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.823465Z digest=sha256:dd0cb253c8abad6b00c41a13e8612022ec77a2ac69b7d79fbac49d0d4be403f1

Observation 6a4c0650-51ce-4c4f-adba-69984c97da82 · outbound

This paper cites Electronic Notes in Discrete Mathematics 38, 437–442 (2011).

Forcing Graphs to be Forcing Electronic Notes in Discrete Mathematics 38, 437–442 (2011)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.585858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.828865Z digest=sha256:daaed5277c52ecaa4aacaf8b9986a75568e1944e36b0586b2eba996de99cf3a5

Observation 46a43c11-6cda-45b0-967b-041f9413ee17 · outbound

This paper cites Is rael Journal of Mathematics 175, 125–150 (2010).

Forcing Graphs to be Forcing Is rael Journal of Mathematics 175, 125–150 (2010)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.561444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.836974Z digest=sha256:6af30c5cff1cefa4fde0feeb61a5783634ba7c9d2888a12c48a30016d7f74e61

Observation 711a4645-44f5-4aa1-a291-7fd12bdc5fb3 · outbound

This paper cites Sidorenko's conjecture for subdivisions and theta substitutions.

Forcing Graphs to be Forcing Sidorenko's conjecture for subdivisions and theta substitutions

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T13:49:22.842105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:49:22.842105Z digest=sha256:da832d9957bacc0f385a8b3727d60952be540361eead3cf33f70fa7d6f3c41b5

Observation dcb48385-f38f-4141-9793-2bcd8176ffd6 · outbound

This paper cites In: Proceedings of Discrete Mathematics Days (2024).

Forcing Graphs to be Forcing In: Proceedings of Discrete Mathematics Days (2024)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.536836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.847416Z digest=sha256:e61d10c9f3136b2bd3db595f6b561b8aeb07350766e6e70292a63dac6da32fce

Observation 0b561347-a31f-45de-a803-a8b1c8238494 · outbound

This paper cites Transactions of the American Mathematical Society 368(7), 5057–5074 (2016).

Forcing Graphs to be Forcing Transactions of the American Mathematical Society 368(7), 5057–5074 (2016)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.514461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.863410Z digest=sha256:b215f549a8c2038763fc28378b13b80ad75a24ead9440694aa84a751e670161a

Observation 3f207e1a-a71f-4051-a907-a0353bf25267 · outbound

This paper cites Journal of Combinatorial Theory, Series B 100(2), 151–160 (2010) 19.

Forcing Graphs to be Forcing Journal of Combinatorial Theory, Series B 100(2), 151–160 (2010) 19

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.482318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.869077Z digest=sha256:882a6f567b7c702cc15c4ec5f2bde0eeceb03ebafc028693c64bf6233c1bb593

Observation ca08c45f-e04b-4f89-9632-a60aa0151815 · outbound

This paper cites On the logarithimic calculus and Sidorenko's conjecture.

Forcing Graphs to be Forcing On the logarithimic calculus and Sidorenko's conjecture

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T13:49:22.873963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:49:22.873963Z digest=sha256:30d74babcf5335089e2455c4cf210d7eb908e056c4bd2d275da96703ff3db3cf

Observation baf985d1-b679-40fe-bb98-1520ea8a57d6 · outbound

This paper cites Journal of Combinatorial Theory, Series B 96(6), 933–957 (2006).

Forcing Graphs to be Forcing Journal of Combinatorial Theory, Series B 96(6), 933–957 (2006)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.453427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.880257Z digest=sha256:6b3481ac8fa1276947480e838f13314c68722d564977a5537888a592b49e5b43

Observation 80aff30f-4d95-4227-bdb8-423157803b4c · outbound

This paper cites Sidorenko Hypergraphs and Random Tur\'an Numbers.

Forcing Graphs to be Forcing Sidorenko Hypergraphs and Random Tur\'an Numbers

Reference 22

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T13:49:23.132333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.886208Z digest=sha256:996cb86bcb36917f6d713d1476660de1ac5aa571f27d73c08d5f7daaa2672027

Observation fbfc5c61-9bbd-4f1a-96f7-ee534df51c88 · outbound

This paper cites Algebraic Combinatorics 1(2), 249–274 (2018).

Forcing Graphs to be Forcing Algebraic Combinatorics 1(2), 249–274 (2018)

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.428459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.894048Z digest=sha256:b501ada7861951127f992cd661ae3d5cd770f1ee8dd2a32e43d9f8a5db3c3340

Observation 9e5bc784-893c-4666-93ee-7d37a9f1ca42 · outbound

This paper cites The Journal of Symbolic Logic 72(4), 1239–1282 (2007).

Forcing Graphs to be Forcing The Journal of Symbolic Logic 72(4), 1239–1282 (2007)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.409250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.898351Z digest=sha256:37803bb48f5455d128f7c1ea2005c18256e7c8799fe7a770e6110fd18a0e58cc

Observation 30548642-73f3-4215-ab52-95b7fd3c333f · outbound

This paper cites In: Forum of Mathemat- ics, Sigma.

Forcing Graphs to be Forcing In: Forum of Mathemat- ics, Sigma

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.385167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.904559Z digest=sha256:00b10eca16ba4fcd16e13d9970d12e01827ce696699528705c011d2b9e4526e4

Observation 108619f3-e9eb-43dc-9d18-48b52eedc37a · outbound

This paper cites Graphs and Combinatorics 9(2), 201–204 (1993).

Forcing Graphs to be Forcing Graphs and Combinatorics 9(2), 201–204 (1993)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.361322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.909960Z digest=sha256:c02a3b11d700aa0c326f99a2ee31a6f371ba24f5da474890230d498560b10148

Observation 272e42df-5416-44dc-b34f-3e824148947f · outbound

This paper cites Progress in graph theory (Waterloo, Ont., 198 2) pp.

Forcing Graphs to be Forcing Progress in graph theory (Waterloo, Ont., 198 2) pp

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.333143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.914457Z digest=sha256:9593dc1735748eb70fe2ca75116f67228dffe4ada417194efc6907db38d2814d

Observation 6ad8ce19-d766-4c46-9bc0-f3b6245bf6a0 · outbound

This paper cites Graphs and Combina- torics 20, 255–262 (2004).

Forcing Graphs to be Forcing Graphs and Combina- torics 20, 255–262 (2004)

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.305988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.921330Z digest=sha256:d000fd964030d8973102ebfb5fed8b175f5d9a0ce4c972a2da52ba28abd05b56

Observation 3225c6ae-ce35-47eb-9203-89e74d0836db · outbound

This paper cites An information theoretic approach to Sidorenko's conjecture.

Forcing Graphs to be Forcing An information theoretic approach to Sidorenko's conjecture

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T13:49:22.935622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:49:22.935622Z digest=sha256:3de58a5fb75da88eca155db5751d95de9016c2d16f5086068dce92cbe28ea427

Observation 1978523e-45d9-489c-b0be-58cd86676c97 · outbound

This paper cites math.tau.ac.il/~yuvalwig/math/expository/HypergraphSidorenko.pdf 20.

Forcing Graphs to be Forcing math.tau.ac.il/~yuvalwig/math/expository/HypergraphSidorenko.pdf 20

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:49:23.278897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T13:49:22.942207Z digest=sha256:0ca7560412fdb3f3ad7f1cea91d6d2d715094cf4fa63f7280a09c6ef0e382239

Pith citing papers

Observation d48820ba-2347-41ee-ab10-07b3a97f7465 · inbound

$L^p$-form of the KNRS conjecture cites this paper.

$L^p$-form of the KNRS conjecture Forcing Graphs to be Forcing

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-06-30T14:14:45.999247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-30T05:36:13.291635Z digest=sha256:1b6322e0d276de45f377c02838a220d10861cb436ca145470032dc867e6097fd