Pith. sign in

Paper Citation Record · LEDGER

$\lambda$-quiddity and subgroups generated by an algebraic number

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2212.03142.

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

pith.paper-citation-record.v1
2212.03142 v3

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T10:18:53.980852Z

measured 30 of 30 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-24T10:18:53.980852Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-24T10:19:18.820623Z

Reference resolution

29 of 29 outbound references displayed

  • verified exact7
  • verified fuzzy20
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0deb827b-2453-4c66-8204-eee0d672db53 · outbound

This paper cites $\lambda$-quiddity and subgroups generated by an algebraic number.

$\lambda$-quiddity and subgroups generated by an algebraic number $\lambda$-quiddity and subgroups generated by an algebraic number

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-05-24T10:19:18.822551Z

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=2026-05-24T10:18:53.980852Z digest=sha256:6c746bdbb4b7d0f3d39327be5252778b5ac2d36855b0d336ea3bde6781b97553

Observation a34d9ce9-e55e-4dfd-84d7-536c3d4eeead · outbound

This paper cites Dans un premier temps, on va rappeler l’ensemble des définitions et des notations dont on aura besoin dans la suite.

$\lambda$-quiddity and subgroups generated by an algebraic number Dans un premier temps, on va rappeler l’ensemble des définitions et des notations dont on aura besoin dans la suite

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.085226Z

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=2026-05-24T10:18:53.980852Z digest=sha256:4dfd1b49964e6a11401e1f029cc5466050c6f5be7ab34bbc4c03bc4e6d636fb0

Observation 623c0eb8-ae40-48eb-ba62-037de21e76a9 · outbound

This paper cites On en profitera également pour fournir quelques éléments plus généraux sur les solutions de l’équation (E).

$\lambda$-quiddity and subgroups generated by an algebraic number On en profitera également pour fournir quelques éléments plus généraux sur les solutions de l’équation (E)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.124053Z

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=2026-05-24T10:18:53.980852Z digest=sha256:6657b21394af4130b133b384c9fff691b7533b52ef2457fc7a2b3e78739910c6

Observation 36c201a9-ff56-4108-a682-6bfe2094f167 · outbound

This paper cites Chacun de ces produits étant multiplié par (-1) puissance le nombre de paires supprimées.

$\lambda$-quiddity and subgroups generated by an algebraic number Chacun de ces produits étant multiplié par (-1) puissance le nombre de paires supprimées

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.118240Z

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=2026-05-24T10:18:53.980852Z digest=sha256:bb29401c72cc6d1313901d364cc6d9d53f5d166dc6d4a0d21d942b41c32cbdf7

Observation 20a4c5af-9822-46be-96d1-6660d68aef4c · outbound

This paper cites Donc, Kn(a1,...,a n)∈ R− Q.

$\lambda$-quiddity and subgroups generated by an algebraic number Donc, Kn(a1,...,a n)∈ R− Q

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.080073Z

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=2026-05-24T10:18:53.980852Z digest=sha256:a48c63e1924abb6b5265c4abe8af1e424daede52ad8b7a7da341d472b7eabca6

Observation 445e2041-fbea-4284-b1e6-5edb6dc2c255 · outbound

This paper cites an unresolved cited work.

$\lambda$-quiddity and subgroups generated by an algebraic number Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-24T10:19:19.103833Z

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=2026-05-24T10:18:53.980852Z digest=sha256:130f9c7383e3ca1a30114bed30c77e00157bc764756be7d6091b3e99c862d6b4

Observation 5d1acd66-bc0c-4cad-82a2-b6bbaa374c55 · outbound

This paper cites Preuve du théorème 2.7.Soit w =a +ib∈ C avec|ab|≥ 1.

$\lambda$-quiddity and subgroups generated by an algebraic number Preuve du théorème 2.7.Soit w =a +ib∈ C avec|ab|≥ 1

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.100964Z

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=2026-05-24T10:18:53.980852Z digest=sha256:abfe51c6fcb993a620188eabd8626f94ec08413614e80698a6f98c7af51215cf

Observation 1250110a-e7b0-4ee6-b553-b6f29c92b267 · outbound

This paper cites Calculons le module pour ces deux possibilités.

$\lambda$-quiddity and subgroups generated by an algebraic number Calculons le module pour ces deux possibilités

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.098306Z

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=2026-05-24T10:18:53.980852Z digest=sha256:7240a81029d86705140dc47c5b1aabe636a0cd085f42b49d3b518901f9ea5048

Observation 8e24cd92-10ca-43e1-b421-5010d90399fb · outbound

This paper cites Bergeron, C.

$\lambda$-quiddity and subgroups generated by an algebraic number Bergeron, C

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.087629Z

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=2026-05-24T10:18:53.980852Z digest=sha256:49d14b4344722d8142f78c04469b72e1e4be69f4e4598a3aa3a4cc44154afc51

Observation ae8d9a15-eb23-4bb5-86d5-dbaa6473d73b · outbound

This paper cites Cantor,Sur une propriété du système de tous les nombres algébriques réels, Acta Mathemetica, Vol.

$\lambda$-quiddity and subgroups generated by an algebraic number Cantor,Sur une propriété du système de tous les nombres algébriques réels, Acta Mathemetica, Vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.112082Z

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=2026-05-24T10:18:53.980852Z digest=sha256:cd9afad1a98c8e0b50697933dc6411311fbfdedfe2daeef0d75ac7854a5161d5

Observation af9e85b3-9ece-4d1c-ba51-d4463afa32fe · outbound

This paper cites Conley, V.

$\lambda$-quiddity and subgroups generated by an algebraic number Conley, V

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.095464Z

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=2026-05-24T10:18:53.980852Z digest=sha256:bc253c2a1a2294369025db50fc5f24edeca79cee93af5fdc9d781ac24f0d07ee

Observation a2a6d1a9-6c15-4bb7-a848-9b0f7debcd5f · outbound

This paper cites an unresolved cited work.

$\lambda$-quiddity and subgroups generated by an algebraic number Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-24T10:19:19.115019Z

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=2026-05-24T10:18:53.980852Z digest=sha256:cc164f0f92aee12135257170b602de1b58f7f6c2d4617fa881c73bcf00ff33d1

Observation 66ba8cb8-b494-494d-830f-55c87365e5be · outbound

This paper cites Cuntz,A combinatorial model for tame frieze patterns, Munster J.

$\lambda$-quiddity and subgroups generated by an algebraic number Cuntz,A combinatorial model for tame frieze patterns, Munster J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.126616Z

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=2026-05-24T10:18:53.980852Z digest=sha256:b4cf96a20ae3681dad428e0a4d97915372184bcb89a1a4b45a2923b77824ea1a

Observation f5ee829e-06b1-4db4-b493-dba13af1bb1e · outbound

This paper cites Cuntz, T.

$\lambda$-quiddity and subgroups generated by an algebraic number Cuntz, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.076540Z

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=2026-05-24T10:18:53.980852Z digest=sha256:621b39cdf679da8771b2264206b027af692f42dcd1d3d19ef5ad3fd06fef548a

Observation df21a9ed-b669-45fa-955d-a956a5311274 · outbound

This paper cites Dumas,Sur quelques cas d’irréductibilité des polynômes à coefficients rationnels, Journal de mathématiques pures et appliquées 6e série, tome 2, (1906), pp 191-258.

$\lambda$-quiddity and subgroups generated by an algebraic number Dumas,Sur quelques cas d’irréductibilité des polynômes à coefficients rationnels, Journal de mathématiques pures et appliquées 6e série, tome 2, (1906), pp 191-258

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.073796Z

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=2026-05-24T10:18:53.980852Z digest=sha256:57cab111d28d36fa4ebea8f3ff9cde54d12f77c96eab1b6119e12eb1a1758336

Observation 057b6fff-77d0-4a00-a7fb-0765ea5bea13 · outbound

This paper cites Gozard,Théorie de Galois - niveau L3-M1 - 2e édition, Ellipses.

$\lambda$-quiddity and subgroups generated by an algebraic number Gozard,Théorie de Galois - niveau L3-M1 - 2e édition, Ellipses

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.089919Z

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=2026-05-24T10:18:53.980852Z digest=sha256:a6f385c6889742bc0a9a113326eddd43201c274c7627b02aac7816e874f9ad94

Observation c843d360-9c10-4c5a-9a40-c2219a52bd44 · outbound

This paper cites Mabilat,Combinatoire des sous-groupes de congruence du groupe modulaire, Annales Mathématiques Blaise Pascal, Vol.

$\lambda$-quiddity and subgroups generated by an algebraic number Mabilat,Combinatoire des sous-groupes de congruence du groupe modulaire, Annales Mathématiques Blaise Pascal, Vol

Reference 17

Resolution
verified exact
doi, observed 2026-05-24T10:19:18.544240Z

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=2026-05-24T10:18:53.980852Z digest=sha256:f1301c21fb185a71571b7110d794ae2633d436fe5d86212c3cf75a77bd3e249d

Observation 42977985-c1ae-4b2c-8323-1947b1e60904 · outbound

This paper cites Mabilat, λ-quiddité sur Z[α] avec α transcendant, Mathematica Scandinavica, Vol.

$\lambda$-quiddity and subgroups generated by an algebraic number Mabilat, λ-quiddité sur Z[α] avec α transcendant, Mathematica Scandinavica, Vol

Reference 18

Resolution
verified exact
doi, observed 2026-05-24T10:19:18.561065Z

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=2026-05-24T10:18:53.980852Z digest=sha256:985ddabcfdabdebb53495f5b4594606e01e94b6d04a2fdf59ce0002fc00abb11

Observation d2702444-cc7e-4efc-8a1f-928ca85ff420 · outbound

This paper cites Mabilat, Combinatoire des sous-groupes de congruence du groupe modulaire II.

$\lambda$-quiddity and subgroups generated by an algebraic number Mabilat, Combinatoire des sous-groupes de congruence du groupe modulaire II

Reference 19

Resolution
verified exact
doi, observed 2026-05-24T10:19:18.567277Z

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=2026-05-24T10:18:53.980852Z digest=sha256:1863382b0f1ff2791765995b2b7ea1157056424fd294bdf6de05a4bee7d77583

Observation f057f460-cfd7-4211-9fb7-b1bc9c0d1e61 · outbound

This paper cites Entiers monomialement irr{\'e}ductibles.

$\lambda$-quiddity and subgroups generated by an algebraic number Entiers monomialement irr{\'e}ductibles

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-24T10:19:18.826750Z

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=2026-05-24T10:18:53.980852Z digest=sha256:55ae46f42130b93fdd9eeffc766d0098f42d02b0ddd1d45b1aa1f9911e4c3e18

Observation 7d51ce60-ca25-487e-98c2-70524ec520e1 · outbound

This paper cites Solutions monomiales minimales irr\'eductibles dans $SL_{2}(\mathbb{Z}/p^{n}\mathbb{Z})$.

$\lambda$-quiddity and subgroups generated by an algebraic number Solutions monomiales minimales irr\'eductibles dans $SL_{2}(\mathbb{Z}/p^{n}\mathbb{Z})$

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-24T10:19:18.817666Z

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=2026-05-24T10:18:53.980852Z digest=sha256:5580b9eef36c90e78fd8f7bda8488fdfea3c7612792ade151ef34a9457393873

Observation c50c7760-116e-4ad8-9fea-0d72d5e7932f · outbound

This paper cites Mabilat,λ-quiddité sur certains sous-groupes monogènes deC, hal-03706941.

$\lambda$-quiddity and subgroups generated by an algebraic number Mabilat,λ-quiddité sur certains sous-groupes monogènes deC, hal-03706941

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-24T10:19:18.813187Z

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=2026-05-24T10:18:53.980852Z digest=sha256:d9d33880c31d01cda73262ead1e8f785bd98bb3a181ff7232e7967cd0fab922b

Observation 097d94d0-323a-4c57-ab6b-aee697e7cca3 · outbound

This paper cites Morier-Genoud,Coxeter’s frieze patterns at the crossroad of algebra, geometry and combinatorics, Bull.

$\lambda$-quiddity and subgroups generated by an algebraic number Morier-Genoud,Coxeter’s frieze patterns at the crossroad of algebra, geometry and combinatorics, Bull

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.109278Z

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=2026-05-24T10:18:53.980852Z digest=sha256:7bf06848ce4da3a43026f866a16bc483e396bae2ded21ca3f880c6f6cd0bba1b

Observation f830e1cf-3414-4e24-8260-669e48c05187 · outbound

This paper cites Ovsienko, Partitions of unity inSL(2, Z), negative continued fractions, and dissections of polygons,Res.

$\lambda$-quiddity and subgroups generated by an algebraic number Ovsienko, Partitions of unity inSL(2, Z), negative continued fractions, and dissections of polygons,Res

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.082618Z

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=2026-05-24T10:18:53.980852Z digest=sha256:5d2c11c5b21de5618c3981a1df80bd567771267543d225e0d94dffb78305ecaa

Observation cb562cf4-c923-47be-af23-d4bbbe8a66d6 · outbound

This paper cites Rouché,Mémoire sur la série de Lagrange, J.

$\lambda$-quiddity and subgroups generated by an algebraic number Rouché,Mémoire sur la série de Lagrange, J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.106439Z

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=2026-05-24T10:18:53.980852Z digest=sha256:5cef191cdd5ee3f874c6b33fc21ac972eb972bd8c7762bf5d1561f344e4aadd9

Observation 1639dd85-816c-438e-abef-b40aacf9119d · outbound

This paper cites Sturm, Mémoire sur la résolution des équations numériques, Mémoires présentés par divers Savants étrangers à l’Acad.

$\lambda$-quiddity and subgroups generated by an algebraic number Sturm, Mémoire sur la résolution des équations numériques, Mémoires présentés par divers Savants étrangers à l’Acad

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.121358Z

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=2026-05-24T10:18:53.980852Z digest=sha256:f0a57474ce0ac79062b824aa2f4d32bc5c60096f02713133175981114eb63544

Observation b331b068-a213-4adc-b942-a3eede86a7d8 · outbound

This paper cites Tauvel,Analyse complexe pour la Licence 3, Dunod.

$\lambda$-quiddity and subgroups generated by an algebraic number Tauvel,Analyse complexe pour la Licence 3, Dunod

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.067977Z

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=2026-05-24T10:18:53.980852Z digest=sha256:8cfb94acd4e12d360c56a6d0b414737018573acbbda1b0bd14bf19a512e3cd98

Observation 7f9980a6-7dd9-4c7c-9b4e-bef0283a11f2 · outbound

This paper cites Weber, M.

$\lambda$-quiddity and subgroups generated by an algebraic number Weber, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.070663Z

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=2026-05-24T10:18:53.980852Z digest=sha256:5868c5a640736d93d4e3aa6f3855c0e3041029475174dcb540fdc0b12f979a72

Observation ae012210-88aa-4982-acfb-c77ce8e7e425 · outbound

This paper cites Zhao,Ring And Field Theory, World Scientific Publishing Co.

$\lambda$-quiddity and subgroups generated by an algebraic number Zhao,Ring And Field Theory, World Scientific Publishing Co

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T10:19:19.092780Z

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=2026-05-24T10:18:53.980852Z digest=sha256:3c707276048f589b18adef2b7d46df9f61da8723c51ad989e300df43a44f3a5b

Pith citing papers

Observation 0deb827b-2453-4c66-8204-eee0d672db53 · inbound

$\lambda$-quiddity and subgroups generated by an algebraic number cites this paper.

$\lambda$-quiddity and subgroups generated by an algebraic number $\lambda$-quiddity and subgroups generated by an algebraic number

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-05-24T10:19:18.822551Z

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=2026-05-24T10:18:53.980852Z digest=sha256:6c746bdbb4b7d0f3d39327be5252778b5ac2d36855b0d336ea3bde6781b97553