Pith. sign in

Paper Citation Record · LEDGER

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.01716.

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

pith.paper-citation-record.v1
2608.01716 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:31:23.704824Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact2
  • verified fuzzy15
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 16e40a42-8c74-4625-abee-5bc0f85240b3 · outbound

This paper cites Facets of the balanced (acyclic) induced subgraph polytope.Mathematical Programming, 45(1–3):21–33, 1989.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Facets of the balanced (acyclic) induced subgraph polytope.Mathematical Programming, 45(1–3):21–33, 1989

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.929935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.641556Z digest=sha256:75ea66e04ff2097841a14c31012f849616cf3bdbcd29ece0a3e66d88a2787e6e

Observation 6aa6f127-7e73-4592-b9ce-4bf154b4cceb · outbound

This paper cites Compositions of graphs and polyhedra I: Balanced induced subgraphs and acyclic subgraphs.SIAM Journal on Discrete Mathematics, 7(3):344–358, 1994.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Compositions of graphs and polyhedra I: Balanced induced subgraphs and acyclic subgraphs.SIAM Journal on Discrete Mathematics, 7(3):344–358, 1994

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.921162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.645298Z digest=sha256:ad2429cca7f2ca922630c8939bf5db11a2f9253d9626ba66dfbd0d382c97f0e0

Observation ee4ef9d5-24ba-49f9-8ddb-61a6ab343abf · outbound

This paper cites Improved semidefinite programming bounds for the maximum $k$-colorable subgraph problem.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Improved semidefinite programming bounds for the maximum $k$-colorable subgraph problem

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-04T22:31:23.752830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.648915Z digest=sha256:173281b3e737312be20cafd0d4d1bd44bc6baa2334b6ae0208058e58505b8bbe

Observation 25f7181f-2732-48d4-a458-e124fd48dd48 · outbound

This paper cites Brewster, Florent Foucaud, Pavol Hell, and Reza Naserasr.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Brewster, Florent Foucaud, Pavol Hell, and Reza Naserasr

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.912234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.652923Z digest=sha256:60f356493547db127b10991a3211a92295d7acb6a584eb367952b50062f84da9

Observation e5074db7-10dc-46a7-b1fc-3c8a4c397578 · outbound

This paper cites Brewster and Timothy Graves.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Brewster and Timothy Graves

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.902880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.656241Z digest=sha256:381486399e15e63ef1d4def8d7ef9052575bacbc022e6f609f2690a593e384f0

Observation f076906c-8473-41dd-818c-a071c31f08a6 · outbound

This paper cites Roberson, Brendan Rooney, Robert Šámal, and Antonios Varvitsiotis.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Roberson, Brendan Rooney, Robert Šámal, and Antonios Varvitsiotis

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.892373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.659942Z digest=sha256:e48d83ec134d2e9f34d5034d4bbd40c74f7e915d7ddc42605b03a8554da6033e

Observation ebbbc3c5-73b7-4aa5-8f7f-bf3eda6c27ff · outbound

This paper cites Springer, Berlin, 1988.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Springer, Berlin, 1988

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.883088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.663453Z digest=sha256:1f8776134d794f3c8e8fc5f0b00fe68861a0fd784e09a7d83868db558e77cf3b

Observation b6c96310-5e0a-4257-ac6f-d9cb2a1457ff · outbound

This paper cites On the notion of balance of a signed graph.Michigan Mathematical Journal, 2:143–146, 1953–1954.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs On the notion of balance of a signed graph.Michigan Mathematical Journal, 2:143–146, 1953–1954

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.874519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.667084Z digest=sha256:e21f98530aaa9e4d3e4c5f82563b51bfd5ef90ecda98c9dee8d5605dcc0959da

Observation 782e2629-1d39-4632-acf0-d6fec3dd5172 · outbound

This paper cites Fractional balanced chromatic number of signed subcubic graphs.Discrete Mathematics, 349(9):115112, 2026.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Fractional balanced chromatic number of signed subcubic graphs.Discrete Mathematics, 349(9):115112, 2026

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.865424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.670116Z digest=sha256:8c484382faab08b8c7e9614f74a5391009e9d0ae8d26bc5fe7ffde7134b47fa8

Observation 26c762f7-6352-4751-bd90-aa0f2c90abd7 · outbound

This paper cites an unresolved cited work.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:31:23.856374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.673543Z digest=sha256:bd09ec2df28391715a011fb6ff80309f11075862e243b942ff843fd88d9648c0

Observation a4febe92-ae17-409a-8de1-f9806016372a · outbound

This paper cites Approximate graph coloring by semidefinite programming.Journal of the ACM, 45(2):246–265, 1998.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Approximate graph coloring by semidefinite programming.Journal of the ACM, 45(2):246–265, 1998

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.845726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.676394Z digest=sha256:caa6bac8e9a53e29df2f0217e6191e22923ecc9e6bf69a33fa5dc14458db27f5

Observation 4df3a418-9493-41a6-a3c3-7e4e9fd3ecff · outbound

This paper cites an unresolved cited work.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:31:23.836139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.679339Z digest=sha256:bb62e806c73c8297d77ac5e99f3f8f648a666c9ae54df2058eb8b067a285246b

Observation 32d17943-8a5e-4e7a-a82a-144ce83b4f7d · outbound

This paper cites Colouring signed analogues of Kneser, Schrijver, and Borsuk graphs.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Colouring signed analogues of Kneser, Schrijver, and Borsuk graphs

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-04T22:31:23.737921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.682544Z digest=sha256:db279046fad63cfddca6758160b7d20fde430ea2da971fab15acdd6982a8ae00

Observation f73e295e-ce2a-4083-aa19-1534aebe6919 · outbound

This paper cites Fractional balanced coloring of signed graphs, 2026.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Fractional balanced coloring of signed graphs, 2026

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.827445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.686666Z digest=sha256:6d2d7fb2dcf8f79dd51985061162bace10e80b7642385f855493637f820d3782

Observation cad8b63f-9ad2-4741-b074-a701090455d2 · outbound

This paper cites an unresolved cited work.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:31:23.817217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.689610Z digest=sha256:b5a2d9df4b6efab34bdfdf9ec8069e77244f50c5728e6161c3a5680b2bc02e98

Observation bd356d60-0d68-4e8d-8d6a-f2424de80243 · outbound

This paper cites On the Shannon Capacity of a Graph.IEEE Transactions on Information Theory, 25(1):1–7, 1979.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs On the Shannon Capacity of a Graph.IEEE Transactions on Information Theory, 25(1):1–7, 1979

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.807976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.692634Z digest=sha256:96321e5bcf3a5b12ffffe5b76a43e0fffdd2f866cd3c0ea83b5f5165a43095bc

Observation 069094b2-11c0-42a3-a406-f25ce9050484 · outbound

This paper cites Homomorphisms of signed graphs.Journal of Graph Theory, 79(3):178–212, 2015.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Homomorphisms of signed graphs.Journal of Graph Theory, 79(3):178–212, 2015

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.797569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.695573Z digest=sha256:4b9f25fc25aa4560ef0830d0117debbaa6c3baac89498b157a0530024aeae524

Observation dfd7bcfb-453e-4e11-9fe0-bf5bcbabf0cc · outbound

This paper cites Homomorphisms of signed graphs: An update.European Journal of Combinatorics, 91:103222, 2021.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Homomorphisms of signed graphs: An update.European Journal of Combinatorics, 91:103222, 2021

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.785910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.698565Z digest=sha256:125f12fca566d89b231c08c8ad9b12964d55d924e3f3b2aec75db08bf90b79d6

Observation e12d3131-6392-4e99-9087-6c338e2d4490 · outbound

This paper cites On the generalizedϑ-number and related problems for highly symmetric graphs.SIAM Journal on Optimization, 32(2):1344–1378, 2022.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs On the generalizedϑ-number and related problems for highly symmetric graphs.SIAM Journal on Optimization, 32(2):1344–1378, 2022

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.775283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.701711Z digest=sha256:1dbf5b3fa5c3af1ef6de9e5feeaf4a5816bbb8ab04a50b61c93283c52bfbe14a

Observation 8db55295-23dc-4406-8a1a-2fca6d5658b1 · outbound

This paper cites Signed graphs.Discrete Applied Mathematics, 4(1):47–74, 1982.

A Lov\'asz Theta Parameter and Theta Body for Signed Graphs Signed graphs.Discrete Applied Mathematics, 4(1):47–74, 1982

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:31:23.764204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-04T22:31:23.704824Z digest=sha256:eb09502765f1d0b3b8e81f488ca18a5177f3b3b1a05f020807a89860ab1c2e2e

Pith citing papers

No inbound Pith citation observations are available.