Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:51:31.678108Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2506.12080.
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 2026-08-07T05:51:31.678108Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
59 of 59 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2f7b6444-1ad9-478e-af5b-a786caad829c · outbound
Lower bound of computational complexity of knapsack problems Huang, Statistical mechanics, New York: Wiley, 2008
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cb5397f2-f983-4d44-9cd2-0686dffe5b15 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f9abfa8-897f-4788-ba99-6628bcc63151 · outbound
Lower bound of computational complexity of knapsack problems Barahona, On the computational complexity of Ising spin glass models, J
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85f4531a-2a9f-4374-8d63-8747faa66e55 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 713bbd9d-4f70-45ce-9583-b7e178bb0876 · outbound
Lower bound of computational complexity of knapsack problems Istrail , Statistical mechanics, three -dimensionality and NP -completeness: I
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8ebc215e-61bc-4bb8-92a8-68fc290da7d7 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1b318685-3644-4ddd-b9fc-ab918cc01e8f · outbound
Lower bound of computational complexity of knapsack problems Ising, Beitrag zur theorie des ferromagnetismus, Z
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55132d88-0675-42db-98b5-719aa6229ffb · outbound
Lower bound of computational complexity of knapsack problems Onsager, Crystal statistics I: a two -dimensional model with an order -disorder transition, Phys
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ded23e1-9d31-42c1-90de-39230822202b · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7145c306-a900-44a7-a925-823fedd94a64 · outbound
Lower bound of computational complexity of knapsack problems Garey, D
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4dddc203-6455-4ea3-9438-96a3a583f274 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a0c91697-4430-4e2d-803e-0401a07c2463 · outbound
Lower bound of computational complexity of knapsack problems Cook, The complexity of theorem-proving procedures, Proceedings of the third annual ACM symposium on Theory of computing , 1971, 151 –158
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 253d7a27-adf7-463f-ad0b-732f1e7a2de1 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f3de960e-dd5b-4f35-8aae-0b8bdae1dd6f · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4c1e1f24-4d5b-4787-9f1a-dce99f255dce · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3d367796-e3cd-4fae-8a5a-c9277567d0a7 · outbound
Lower bound of computational complexity of knapsack problems Dantzig, Numbers: the language of science, London: George Allen & Unwin, Ltd., 1930
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f22aeb39-8355-4f5e-9562-541d6316d0be · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e1e9041d-bcf4-4234-844a-ca1216e9a850 · outbound
Lower bound of computational complexity of knapsack problems Mar tello, D
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9bba41b9-bd0f-4ab9-a42f-230a26afcae4 · outbound
Lower bound of computational complexity of knapsack problems Pisinger, Where are the hard knapsack problems? Comput
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 800f1586-b8f9-4803-ae5b-0365ba7052bd · outbound
Lower bound of computational complexity of knapsack problems Fayard, G
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation afca7d5f-1cd7-4428-a10c-3d387c2c0ee6 · outbound
Lower bound of computational complexity of knapsack problems Al -Shihabi, A novel core -based optimization framework for binary integer programs- the multidemand multidimesional knapsack problem as a test problem, Oper
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a70dae9-b111-4d4c-92c6-24bf15ac41b8 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 42f5af2b-c5db-4f0a-9aaa-02af878ecd01 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60291dfd-a8d6-4991-958b-b6622c2c0bc5 · outbound
Lower bound of computational complexity of knapsack problems Toth, Optimization enginee ring techniques for the exact solution of NP -hard combinatorial optimization problems, Eur
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3c22afc1-99f6-4842-8930-3b0c425ea35f · outbound
Lower bound of computational complexity of knapsack problems Venkataraman, G
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 42436a86-a564-4283-9bbd-928b22f75e79 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7254e908-550a-4859-a374-7ba4e5dded67 · outbound
Lower bound of computational complexity of knapsack problems Suzuki, Z
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 050d3acb-67f2-4778-97c8-375209b0b20e · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6c3e3f26-fde8-40d7-99c1-b263fdbc22ef · outbound
Lower bound of computational complexity of knapsack problems Ghosh, C
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ace4666f-671c-41aa-be98-8459bf04d697 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4a3c2b3f-37b5-44ee-82bc-f3641a8b49af · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d5fac23d-d3b0-40ae-9d6a-223c2f59f1ed · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e2ced49d-6858-44a8-915b-2a94505898a0 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a6263670-0c89-47de-8015-fd32bb28f032 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8fbd07bb-bc0a-4535-b9a4-66efb2b431b6 · outbound
Lower bound of computational complexity of knapsack problems Ladner, On the structure of polynomial time r educibility, J
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4afa2839-ff7e-4d06-9b2a-571d1404587d · outbound
Lower bound of computational complexity of knapsack problems Jonsson, V
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7150838b-fdfe-4773-9595-29cc6c1a7b68 · outbound
Lower bound of computational complexity of knapsack problems Bellman, A Markovian decision process, J
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b8ebbf6-cc0f-489b-9009-07d1a3a94618 · outbound
Lower bound of computational complexity of knapsack problems Kyriienko, H
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 12d00436-440b-4f1f-81c7-ae8b5446db8c · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fc5cb31b-cede-4cb9-9d02-942aea44d5f6 · outbound
Lower bound of computational complexity of knapsack problems Bellman, Letter to the Editor–Comment on Dantzig’s paper on discrete-variable extremum problems, Oper
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9741ba24-b4c1-402b-914f-2674cc1c2dc2 · outbound
Lower bound of computational complexity of knapsack problems Cacchiani, M
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c919d3bb-756f-4748-a120-39aa83e82e5b · outbound
Lower bound of computational complexity of knapsack problems Kellerer, U
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3fad99de-fbf5-4e9b-8030-ff371e157cda · outbound
Lower bound of computational complexity of knapsack problems Nishimori, Statistical physics of spin glasses and information processing: an introduction, Oxford University Press, 2001
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 851a3394-3147-414a-889e-0933405599ff · outbound
Lower bound of computational complexity of knapsack problems Kirkpatrick, D
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6badbebc-56a1-4712-88e7-e6fbde2f83f9 · outbound
Lower bound of computational complexity of knapsack problems Sherrington, S
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 777ca0b4-9cd0-4e8d-b340-5adb8cb5278d · outbound
Lower bound of computational complexity of knapsack problems Boccaletti, V
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14d40a88-239d-4c5d-9de6-f476657ec99e · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ef9f044-8d89-4d0e-b2af-d983529578fa · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2cccff25-110f-4fc2-9f7c-ca78d8130b2b · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 726b8f03-8d1c-4127-8084-2d4638bbf017 · outbound
Lower bound of computational complexity of knapsack problems Bertsimas , R
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23725bb5-0059-449e-a20c-8d4d9c6479b0 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 16c75b9d-b8b7-4c1a-9d98-07826a7aa786 · outbound
Lower bound of computational complexity of knapsack problems Balas, N
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8d41ffe9-49f9-46b5-81cb-84918a4bf763 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 119657dc-47b5-4d38-a0e2-f5ecee25ef83 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8cfaf676-9302-4d2a-96a1-2756d2f97f77 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0797d8f7-09f2-4d55-8a98-5a55bf63af75 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f3a5067e-e4b7-4870-8e08-7b376c819a38 · outbound
Lower bound of computational complexity of knapsack problems Larranaga, C
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95235410-0577-40d8-85c5-d6892a2263df · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 306
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 56c022e9-a663-47fd-9855-1a6099099783 · outbound
Lower bound of computational complexity of knapsack problems Unresolved cited work
Reference 743
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
No inbound Pith citation observations are available.