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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 2026-08-14T06:32:32.682623+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

Resolution
unresolved
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.732973Z digest=sha256:446a62d128930711cddecd9c49d3d9a091179aad6ea5176ab9d3928602b74cfd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.743072Z digest=sha256:8f12e613188b45e049d90c7b0b10feb5654b60a234d6c14c13efbb3d720add32

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.749642Z digest=sha256:c93d1467cb8d183c98f8b93084e2f5214b4cca086920294afe9e157734e85690

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.754767Z digest=sha256:513fb1fb29ed7fabd4be7fb5b81f91c98f1572d808de5452975c590b700ecb34

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.763002Z digest=sha256:e4f6d7727bb6938993e08c5a0880afe42a1ffe440171b3b12b51a25d75d4bf3f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.773598Z digest=sha256:c6bdaf147953ef605eb01eb1de99578d1aecb53d0bfaeaea5512be58412133ed

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.790400Z digest=sha256:2d51bed5239b579699f92cd82c72739da4fcec988b436dc8332640e62a2b7dd5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.800746Z digest=sha256:18a96c05d700472e818aab738a242aecee621cc5201f0940a9b50bc6d4574e44

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.808870Z digest=sha256:6b507ba6354046a19eb7ff072a3b34e63195705e5afb4c8d51f7468de434aecb

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.818176Z digest=sha256:86379605b14fb25508710587fb7ccbc7d8cceeb8329703052dddc3c1bc2a5259

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.823465Z digest=sha256:dcfd1e410d21e768a0fd77f4ae68a04b00f80f33b9db5e68dfecc9b471c748e8

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.828865Z digest=sha256:34cf1cbe83ac87f1658a9844fc7fc7167b6720b4edebd647d19877ab9ebecec2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.836974Z digest=sha256:4c89db829dd71fe120740d9589c6fa951df89379b36375acb2c2bcf96b7478af

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.847416Z digest=sha256:74d6646ebefe6c4808c81c6a151f1c70f1a2a9d9c31d9ed6c52c6b1abb930e90

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.863410Z digest=sha256:953f2ed40ee835a6789b8ea1f7495a0871057e44aef2b6bd0bdf78aab67e056d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.869077Z digest=sha256:e247d8478745e4272fb286ccefe2b276678f4cee095e525395b2da54f8e8d3fe

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.880257Z digest=sha256:2afe2bd35a92d2e007ddcf741944089e7831a55ada8229f08dc472b336ff0cb3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.886208Z digest=sha256:69bd3d858564cd0a62873aee8cc9eefbb29b6a64975f6435d70445da5289ffaa

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.894048Z digest=sha256:80e56cbe1f773629371e97e9795d335c0706095b527b4832a8fa6c598a4eb544

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.898351Z digest=sha256:33094245b73d8881dab6f4f83497ee06a1782c252f7f91f31e62c7bfdf752560

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.904559Z digest=sha256:76704f69e9187a0947ed0d13af971eae9315fb38473dcabee11a07cf82a126a1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.909960Z digest=sha256:7c01e9900b1865efc7e4a5347d5324dbafa8430d21871fe4f841e4d4862dcb1e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.914457Z digest=sha256:d5243f21527d7b901067f577e1646481dc80c34fd77a9e2aad19476700eebe8b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.921330Z digest=sha256:8f402781dd8ea6f19830748ec0b46725a2d61314d637053038707b38f55e79f7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:49:22.942207Z digest=sha256:57fcc65cee54803fb6bcfb94643f6bbc60ecea2348b8dc8fe48421fb62c97025

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-30T05:36:13.291635Z digest=sha256:9a0515706d3c399763311392896a04da33c76141c453c6995c1344bc84e91118