Pith. sign in

Paper Citation Record · LEDGER

Polytopes and posets associated to preorders

As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2605.26916.

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

pith.paper-citation-record.v1
2605.26916 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T17:14:08.420582Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

32 of 32 outbound references displayed

  • verified exact7
  • verified fuzzy0
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 064e7bd9-d248-42d3-b836-18290f7a7fbd · outbound

This paper cites P-graph Associahedra and Hypercube Graph Associahedra.

Polytopes and posets associated to preorders P-graph Associahedra and Hypercube Graph Associahedra

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-06-29T17:23:45.283602Z

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.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:630aae1dc5bf96dab5d35edcaf25f3697c032ed317aa862a9c9624748fee7543

Observation 636a4f81-b0bc-4877-9c31-338725aeece8 · outbound

This paper cites Athanasiadis, Lattice point enumeration of polytopes associated to integer compositions, Ann.

Polytopes and posets associated to preorders Athanasiadis, Lattice point enumeration of polytopes associated to integer compositions, Ann

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-29T17:23:45.286587Z

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.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:d8c44f5687dc453e0b656b98b8cca3d15012a55ad05c0758ea67f847877c2376

Observation 2da0d384-bc9c-4106-9dd7-16b1453ed468 · outbound

This paper cites Luck and magic for Pitman-Stanley polytopes and parking functions.

Polytopes and posets associated to preorders Luck and magic for Pitman-Stanley polytopes and parking functions

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-06-29T17:23:45.280373Z

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.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:e4d7e4d9b8d3de4526441a9d734c1cd8b90df38f84006ff88883939392180adf

Observation 29f09924-cb35-4602-bad6-d2ac6d2c7395 · outbound

This paper cites Athanasiadis, Q.

Polytopes and posets associated to preorders Athanasiadis, Q

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-06-29T17:23:45.285863Z

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.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:53ee9d72d8587a7e13bce88a3eba73cebd4db95b1913ff210048f1617d0c438e

Observation 2bfe47e5-473a-480f-95e8-e577e7de6510 · outbound

This paper cites Bayer, R.

Polytopes and posets associated to preorders Bayer, R

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-06-29T17:23:45.272124Z

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.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:c3f777f2882af7f437728414fded8f19e8cbd6f379b38b32a5a502c918238269

Observation 1064e710-da8b-49d0-b104-7494a406b66f · outbound

This paper cites Bergeron, G.

Polytopes and posets associated to preorders Bergeron, G

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:9d842e87d0bff4d8641ea7e73e847ef009f1f8b09c03bffe5c73b733c65263ba

Observation 3ef244b2-7cd4-4fab-bf71-6e96f1d8c73a · outbound

This paper cites Bossinger, M.L.

Polytopes and posets associated to preorders Bossinger, M.L

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:a47dd0cf6f50408697f097b9d7f6bff78e8c58bcb346e9e889f149c72565150a

Observation 305519a4-48eb-4732-a352-001a99d41986 · outbound

This paper cites Br\"and\'en, On linear transformations preserving the P\'olya frequency property, Trans.

Polytopes and posets associated to preorders Br\"and\'en, On linear transformations preserving the P\'olya frequency property, Trans

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:0a1feec993bc49f0957eb1b9a9522e3365a8d81d8c5c91b37cbd9ebf9c20be7c

Observation 99d9939f-0bf1-4bde-b16b-e5ce6c5df99a · outbound

This paper cites On a q-analogue of the Zeta polynomial of posets.

Polytopes and posets associated to preorders On a q-analogue of the Zeta polynomial of posets

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-06-29T17:23:45.274885Z

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.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:91576619a0765e2d972c1754fcaf2008f120f18b30800f3603e724c1d3335dc4

Observation c9101bc9-904b-43ec-a41c-29236a02b4ca · outbound

This paper cites Chapoton, On posets and polytopes attached to arbors, Math.

Polytopes and posets associated to preorders Chapoton, On posets and polytopes attached to arbors, Math

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:839f8e82bcdeef48b0f57f258b9c2a0cdd34627a1336835004d236e7cf805c9f

Observation 47197167-c4ec-4cde-8ed8-df11b84a07e4 · outbound

This paper cites Examples and counterexamples in Ehrhart theory.

Polytopes and posets associated to preorders Examples and counterexamples in Ehrhart theory

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-06-29T17:23:45.274459Z

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.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:cd57cf28a5298d45166578c1093f45e282236098b054fd5f65b962ae41c3eb5c

Observation d2963502-216c-4b86-8af3-71e7fa3c1ffa · outbound

This paper cites Fulkerson, Blocking and anti-blocking pairs of polyhedra, Math.

Polytopes and posets associated to preorders Fulkerson, Blocking and anti-blocking pairs of polyhedra, Math

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:5c27b95d031ca6332754eb3045ec0193762d86a2a4bde4c09208f0967c73d2f3

Observation cef81d3a-eaab-4e65-829c-84f254bd2435 · outbound

This paper cites Gal, Real root conjecture fails for five- and higher-dimensional spheres, Discrete Comput.

Polytopes and posets associated to preorders Gal, Real root conjecture fails for five- and higher-dimensional spheres, Discrete Comput

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:9051cb3f6cd5d1010f7990dfaf2d68ac47ff7bace0cb47bdc84ea1e3c7f31be8

Observation 76e6fe85-c170-49fd-b3fb-7e3dff474cbd · outbound

This paper cites Gessel and S.

Polytopes and posets associated to preorders Gessel and S

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:addebc5eef6ad7fc16a46c39ee6aafefc9411303f7360fbc1008048cbc42515c

Observation 03f99642-3149-4a6c-a0fb-d495efc2be2d · outbound

This paper cites Greene, Posets of shuffles, J.

Polytopes and posets associated to preorders Greene, Posets of shuffles, J

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:d975228daec51d6e8ea3945646a46cc94155d857eecf37cd837ec7be6b21e520

Observation 6a396bce-8a29-4b77-89d5-fc3ee62e976e · outbound

This paper cites Gr\"uber, Convex and Discrete Geometry, Grundlehren der Mathematischen Wissenschaften 336 , Springer, 2007.

Polytopes and posets associated to preorders Gr\"uber, Convex and Discrete Geometry, Grundlehren der Mathematischen Wissenschaften 336 , Springer, 2007

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:12bcb869aa7bdcbeb5814e38e09d1022327b2881f9c4876a8c551d3136934467

Observation ebfc2368-2e32-4f9c-88ba-5fc94c58a8d1 · outbound

This paper cites an unresolved cited work.

Polytopes and posets associated to preorders Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:81fe8f77e7e294ef9cb03d6cabf75181347e54b1461121ea1a179419252e3bed

Observation 80813aeb-24ed-4a9c-a5c9-51b89c4e2333 · outbound

This paper cites Hibi, Algebraic Combinatorics on Convex Polytopes, Carslaw Publications, Australia, 1992.

Polytopes and posets associated to preorders Hibi, Algebraic Combinatorics on Convex Polytopes, Carslaw Publications, Australia, 1992

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:9177611ab26b58b5b2e4abb7860f85beb27e8be6c4d7d4f529f9a1c22941d5e9

Observation 69be499f-dc6e-471e-b68f-37622761a3b6 · outbound

This paper cites Law, Combinatorial realization of certain Hopf algebras of pattern-avoiding permutations, Ph.D thesis, University of Michigan, 2013.

Polytopes and posets associated to preorders Law, Combinatorial realization of certain Hopf algebras of pattern-avoiding permutations, Ph.D thesis, University of Michigan, 2013

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:aeba10adeb8189d825b6fe017d411a0a037e434b1af5f4fb33b90643256b2b9a

Observation 11bd6b46-3092-4d13-95b7-edbadc387863 · outbound

This paper cites an unresolved cited work.

Polytopes and posets associated to preorders Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:71b799331928a9482caaa4b4a60e6226acfdd624166f89ad5bdfc70b858610ad

Observation 5cc4721a-22e8-48df-bc67-183deec9a218 · outbound

This paper cites Liu, On positivity of Ehrhart polynomials, in Recent Trends in Algebraic Combinatorics, pp.

Polytopes and posets associated to preorders Liu, On positivity of Ehrhart polynomials, in Recent Trends in Algebraic Combinatorics, pp

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:d963eb7f539fe81164ab595b7f996c94e68087a47456b53b4b47a2de75f39f1f

Observation af27255d-5f44-42d8-bf1c-82c1b1784452 · outbound

This paper cites MacMahon, Combinatorial analysis, Vol.

Polytopes and posets associated to preorders MacMahon, Combinatorial analysis, Vol

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:3976adf06d116ba9a967e7fea4241e2b012432b95989dc1b16eee8c917c05d53

Observation a7655ddf-10cd-4bff-9a3e-557c3296a3f4 · outbound

This paper cites McConville and H.

Polytopes and posets associated to preorders McConville and H

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:0389ea53863a41284b89e2f01c33e1f50a38ca38d748f47ffb92341113718831

Observation 535d975f-1834-4440-95ff-5ee11e277884 · outbound

This paper cites McConville and H.

Polytopes and posets associated to preorders McConville and H

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:e928912d270bf24bb6ae332add599eec21311a72d85d21b70e40936c3ece15b3

Observation 3a31c1a2-b1ed-42a2-a6da-6643a654e696 · outbound

This paper cites McConville and H.

Polytopes and posets associated to preorders McConville and H

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:1d808dd1953f2c6941940a8ac7abc2fa39d3693809955e6d552e74838fd63dfe

Observation 7da03ab9-72d0-49cc-ae6c-69f867143045 · outbound

This paper cites P\'olya and G.

Polytopes and posets associated to preorders P\'olya and G

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:9d648f4c4d5d3d686d19e3fc455a5e01e2a945727ac5b77d255ae173aa01f089

Observation 665acb82-424b-4335-80ad-f4db8630fe42 · outbound

This paper cites Postnikov, Permutohedra, associahedra, and beyond, Int.

Polytopes and posets associated to preorders Postnikov, Permutohedra, associahedra, and beyond, Int

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:99d1bfdb31dc9ed5e46a10843a57b6fd4252a935fc4c681db2ee2a5e0ad8e5e0

Observation b2e96505-0a6c-441b-b323-b8d570a767d7 · outbound

This paper cites Schrijver, Theory of Integer and Linear Programming, Wiley-Intersc.

Polytopes and posets associated to preorders Schrijver, Theory of Integer and Linear Programming, Wiley-Intersc

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:5aa29ab2952a1c158e1d8026e9bc4a69ca493e631d8436102477564878f8f9c4

Observation 94546b46-d26d-4012-89d1-981942957f7b · outbound

This paper cites Stanley and J.

Polytopes and posets associated to preorders Stanley and J

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:b15c270e5bf2bbf98cb4b69df8aba3938a956409807e399777e26d0dce7125cf

Observation 9ad1461b-13a1-466c-af55-71be9d7187f9 · outbound

This paper cites Stanley, Combinatorics and Commutative Algebra, Progress in Mathematics 41 , Birkh\"auser, second edition, 1996.

Polytopes and posets associated to preorders Stanley, Combinatorics and Commutative Algebra, Progress in Mathematics 41 , Birkh\"auser, second edition, 1996

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:dc46d86fc9fcc52e71385dbb37b4435191ccd6bb213e6afec2f8dfb32fbae527

Observation d13982a2-d1de-4ca5-8192-191a9777d6b9 · outbound

This paper cites Stanley, Enumerative Combinatorics, vol.

Polytopes and posets associated to preorders Stanley, Enumerative Combinatorics, vol

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:4f868e9bf7d61a3827736bbe748fab1c676256173dec1d8fb557f0090b757dd7

Observation 49dc4dbc-bec6-4a2a-a5f5-bab2e3b1398c · outbound

This paper cites Wang, S-N.

Polytopes and posets associated to preorders Wang, S-N

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-29T17:14:08.420582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T17:14:08.420582Z digest=sha256:2674811a566c2c5c4b05de44e3a953d96acf54436965835dedcfdd1bcccf8a40

Pith citing papers

No inbound Pith citation observations are available.