Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:40:03.727985Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2412.09984.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:40:03.727985Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T22:40:51.391190Z
A source-named dated measurement, never combined with another source.
Source: cited_works
64 of 64 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8e5b5d01-4514-4b1d-ba05-2d58a7ca3b74 · outbound
How to fit large complexity classes into TFNP , " * write output.state after.block = add.period write newline
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 120a41e7-ac49-4f25-8520-9e19dd83e209 · outbound
How to fit large complexity classes into TFNP write newline
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a03c4ff2-852c-4966-a7ba-30fb72d37d46 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 566cc85e-97d5-477c-b728-5dbc14582387 · outbound
How to fit large complexity classes into TFNP Beckmann and S
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9c5b8e03-287d-4c3c-ba3a-9006b7060b5c · outbound
How to fit large complexity classes into TFNP Beckmann and S
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0e4e0768-09ed-45cd-ae56-b857e6f276d8 · outbound
How to fit large complexity classes into TFNP Beckmann and S
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 68eabfb1-0d44-4c76-a767-538404348c16 · outbound
How to fit large complexity classes into TFNP Beckmann and S
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 60c87b42-cb5c-402c-a22b-ae73bca59986 · outbound
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4ea0263d-1916-496d-9493-9f224f4365b8 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a523064d-5b90-4e8a-978f-317798903267 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 354a1a95-cc73-4a89-ba59-3f7da7ce8405 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 471c5554-a6bc-40bd-b715-d183028702eb · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 962cf34e-c435-4573-9491-4844e44a5719 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5f4e15e2-b3e5-451a-a89b-cd07e4595e7a · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 25e5d383-b7f8-47a0-aedc-f396945487f8 · outbound
How to fit large complexity classes into TFNP Buresh-Oppenheim and T
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bcab989e-2fb2-4885-bab4-e79765d8c8bd · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a9d650fd-881e-41d2-8232-3f2d82ac3d90 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7dec0bee-d467-43ca-86a6-39319e64f664 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation de45110e-5a22-4969-a65c-456c363afb64 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 19242267-76c0-4a9d-abf7-1d6683199927 · outbound
How to fit large complexity classes into TFNP Chiari and J
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c490a3a8-b07a-4422-936d-b437cb7e7073 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4f1b0b17-47bb-412e-b668-cfc12dbd19e7 · outbound
How to fit large complexity classes into TFNP De Rezende, O
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f4079149-7ae1-4bdd-97a5-17f068be12c5 · outbound
How to fit large complexity classes into TFNP G \"o \"o s, A
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eee18180-771d-4b92-83b1-385e8ce1c07e · outbound
How to fit large complexity classes into TFNP G \"o \"o s, P
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation df96087c-f262-4953-a800-95d34a54b229 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e04e7b51-69fe-4391-85a8-8846e3bf8339 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e3aaaa55-519d-4a36-bbde-2ec3c24351bc · outbound
How to fit large complexity classes into TFNP Hub \'a c ek, E
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 501346b5-84fe-4f8a-9d0e-75fbfb375def · outbound
How to fit large complexity classes into TFNP Impagliazzo and J
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fe71f35c-dab0-4da1-a597-edcede9962ff · outbound
How to fit large complexity classes into TFNP Je r \'a bek
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b03e0015-fa7e-4f8b-915d-ec584f39e0a2 · outbound
How to fit large complexity classes into TFNP Je r \'a bek
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 23d0f013-c6fd-46e2-8b9c-87c837a3d19f · outbound
How to fit large complexity classes into TFNP Je r \'a bek
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e496bc7e-295e-488c-ba14-cba34ec976cd · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 437b3036-b1be-49d2-b9ab-01cf58176bbb · outbound
How to fit large complexity classes into TFNP Kleinberg, O
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f0989387-5d6e-42d4-bbe5-eb2304309e61 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3a259eff-fe30-477e-8280-ca47463b2b63 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 616732f7-a821-41e7-be21-7c8a6d4ab429 · outbound
How to fit large complexity classes into TFNP Kraj \' c ek, P
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 80145061-0ba1-496c-808c-25a8963c82e5 · outbound
How to fit large complexity classes into TFNP Kraj \' c ek
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b5ca5f28-e814-48a1-b2a4-04c68c0426d5 · outbound
How to fit large complexity classes into TFNP Kraj \' c ek
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 85e6d842-d53f-4643-9d4c-11e913676b98 · outbound
How to fit large complexity classes into TFNP Kraj \' c ek
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2c980aae-25e2-4a3c-8822-c04d6d386992 · outbound
How to fit large complexity classes into TFNP Kraj \' c ek, A
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8c0780b7-bd68-4c51-a3ff-d5c2f6cb387a · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e73c0600-66c1-431d-a983-bb1add9f93b0 · outbound
How to fit large complexity classes into TFNP Lov\' a sz, M
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 983fa3ac-62f8-40dd-993e-5e9f4201593a · outbound
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fd77ca1c-ac41-4533-bf38-7af2fcb5346e · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dcf3ef9e-121a-496f-91fa-d9266431a645 · outbound
How to fit large complexity classes into TFNP Megiddo and C
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 280e8a43-24a0-4f2a-ba68-1336e69a03c4 · outbound
How to fit large complexity classes into TFNP M \"u ller and J
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3384e26-74cd-42cb-b77d-bfc1685807fc · outbound
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1cd5b385-3361-4290-8a98-2a01dbb19ccf · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dd1ef7eb-f8f4-4f7f-9fed-32671bfeedc6 · outbound
How to fit large complexity classes into TFNP Pudl \'a k and S
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b6270eea-bd99-4a31-99d0-a3a7150ada38 · outbound
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 52b3e816-2b1f-44b7-8f3a-69f319cc3c9c · outbound
How to fit large complexity classes into TFNP Pasarkar, C
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 495f7c5a-6210-4ed8-bbf3-cae358580510 · outbound
How to fit large complexity classes into TFNP Pudl \'a k and N
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a413758a-a44a-4d31-bbb2-484439e642f3 · outbound
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a0102510-2cb9-41c1-a256-769c205ba8f0 · outbound
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0baab778-cd43-4b75-89e4-18f5cca83188 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eb58c245-606d-4df9-b093-b710dfecfe15 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cdb2a613-d0e8-4527-8c90-e55fa48689b1 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cc827ba9-7f1b-4206-bdb5-48e3e7b873de · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 53106a0d-8d78-4eb2-97ae-4741d84ac0c9 · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eda34a09-2792-4b29-8339-3e2647510d21 · outbound
How to fit large complexity classes into TFNP Skelley and N
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 763883ee-b70e-45f0-ab16-c3668da24f8a · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9e8a6ba2-d671-47a4-b9cc-7111a82f310f · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 17824d10-33f1-4550-9782-c120675c998b · outbound
How to fit large complexity classes into TFNP Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dbe6ead8-66cf-418a-9c1f-b678f5b0cf41 · outbound
How to fit large complexity classes into TFNP Valiant and V
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 34a2072f-2fcf-49e7-8018-c87cb2507094 · inbound
Separations above TFNP from Sherali-Adams Lower Bounds How to fit large complexity classes into TFNP
Reference 2012
Source-reported events for the cited work
Unavailable: canonical work link unavailable.