Paper Citation Record · LEDGER

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$

As of 13 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2607.28433.

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

pith.paper-citation-record.v1
2607.28433 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T07:31:09.634753Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

33 of 33 outbound references displayed

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verified fuzzy0
unresolved33
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External citation measurements

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Outbound references

Observation 85609d9d-d3a9-4780-9ed0-d94073578609 · outbound

This paper cites Abramenko and K.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Abramenko and K

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.276015Z

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Unavailable: canonical work link unavailable.

Observation 5a638943-46b0-45a1-b357-dfad8faca0ae · outbound

This paper cites an unresolved cited work.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.345082Z

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Observation d2654dab-a2e6-438c-895b-67a716238a37 · outbound

This paper cites an unresolved cited work.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.378860Z

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Observation 03d8fb9a-fc88-49aa-ace4-c3a0ad0ee733 · outbound

This paper cites an unresolved cited work.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.444739Z

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Observation f0f3ce14-3131-4f8f-9a3c-e62339c73699 · outbound

This paper cites Bass and A.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Bass and A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.528583Z

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Observation 675d3668-75cf-4d4b-bbdc-e8894348e9ee · outbound

This paper cites Beauville and Y.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Beauville and Y

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.585888Z

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Observation 520051ed-2931-4bf9-a62a-d3300e93252a · outbound

This paper cites Beck and S.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Beck and S

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.648766Z

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Observation 03e7e5f4-8f66-415b-a3d3-aea274159ac2 · outbound

This paper cites Borel and J.-P.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Borel and J.-P

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.714179Z

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Observation 54d6753a-1520-4588-b1eb-52b344f4fa3f · outbound

This paper cites Bruhat and J.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Bruhat and J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.756880Z

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Observation d355a4df-54ce-4021-b184-9c9d8205565d · outbound

This paper cites Gasper and M.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Gasper and M

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.807293Z

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Observation 83ed204f-a878-40c7-9a88-5d8396c20713 · outbound

This paper cites Grothendieck, Sur la classification des fibrés holomorphes sur la sphère de Riemann,Amer.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Grothendieck, Sur la classification des fibrés holomorphes sur la sphère de Riemann,Amer

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.854587Z

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Observation 221fb2d2-5681-4dfd-b538-0c012f45c7fb · outbound

This paper cites an unresolved cited work.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.911089Z

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Observation 1a233060-464f-462b-8f0d-67c658aa88b1 · outbound

This paper cites Harder, A Gauss–Bonnet formula for discrete arithmetically defined groups,Ann.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Harder, A Gauss–Bonnet formula for discrete arithmetically defined groups,Ann

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:07.955481Z

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Observation 66f0cf8f-06f7-4099-98ca-5cb1387d999f · outbound

This paper cites Harder, Chevalley groups over function fields and automorphic forms,Ann.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Harder, Chevalley groups over function fields and automorphic forms,Ann

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.009124Z

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Observation f62fc7d2-40b5-4b7d-b3bf-894ced948f30 · outbound

This paper cites Harder, Minkowskische Reduktionstheorie über Funktionenkörpern,Invent.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Harder, Minkowskische Reduktionstheorie über Funktionenkörpern,Invent

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.051754Z

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Observation 753122a2-cc98-4bfe-8a68-f923a2a7f266 · outbound

This paper cites Hazewinkel and C.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Hazewinkel and C

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.097279Z

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Observation 843f35e9-8468-47ed-9c58-f007429f7dc8 · outbound

This paper cites Hong and S.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Hong and S

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.155138Z

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Observation 659bc87b-2e2c-4029-baeb-ad3d0fe98bfc · outbound

This paper cites Hong and S.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Hong and S

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.208574Z

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Observation 06e42c1d-93db-4eac-a241-f5c8aa80fa68 · outbound

This paper cites Edge zeta function and closed cycles in the standard non-uniform complex from $\operatorname{PGL}_3$.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Edge zeta function and closed cycles in the standard non-uniform complex from $\operatorname{PGL}_3$

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.256989Z

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Observation 5327e4e2-bf87-4d84-8008-2503428895eb · outbound

This paper cites Hong and S.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Hong and S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.296496Z

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Observation c11f6696-1a0f-4314-8dfe-ea412fb01f54 · outbound

This paper cites an unresolved cited work.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.377051Z

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Observation 1f07250e-4ecd-4fdc-afd9-492fec6d95c8 · outbound

This paper cites Kleinbock, R.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Kleinbock, R

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.454777Z

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Observation ce68902b-2a61-4ab8-ace5-55e03e23e510 · outbound

This paper cites Kleinbock and G.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Kleinbock and G

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.540393Z

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Observation 6941d379-b23d-4016-b8cb-5b27ee745dd9 · outbound

This paper cites Kondo and S.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Kondo and S

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.615474Z

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Observation 27b940a0-6887-4b07-a72c-b8fa0340bae5 · outbound

This paper cites Kwon and S.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Kwon and S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.691951Z

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Unavailable: canonical work link unavailable.

Observation dae89d15-49e2-40f4-b58e-c3c9e2756767 · outbound

This paper cites Lubotzky, Lattices in rank one Lie groups over local fields,Geom.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Lubotzky, Lattices in rank one Lie groups over local fields,Geom

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.816208Z

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Observation 89a956a2-daf7-4b51-b3f2-e67545f49d41 · outbound

This paper cites Lubotzky, Lattices of minimal covolume inSL2: a non-Archimedean analogue of Siegel’s theoremµ≥π/ 21,J.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Lubotzky, Lattices of minimal covolume inSL2: a non-Archimedean analogue of Siegel’s theoremµ≥π/ 21,J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:08.919296Z

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Observation 098f02f8-9968-479e-8381-c878b7c26025 · outbound

This paper cites Prasad, Volumes ofS-arithmetic quotients of semi-simple groups,Publ.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Prasad, Volumes ofS-arithmetic quotients of semi-simple groups,Publ

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:09.074742Z

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Observation f041a330-5232-45c4-a25a-134c65758332 · outbound

This paper cites Salehi Golsefidy, Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic, Duke Math.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Salehi Golsefidy, Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic, Duke Math

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:09.164746Z

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Observation a1965437-7bb7-4d43-82b5-a99149f956b9 · outbound

This paper cites Salehi Golsefidy, Lattices of minimum covolume are non-uniform,Israel J.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Salehi Golsefidy, Lattices of minimum covolume are non-uniform,Israel J

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:09.281969Z

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Observation a4d92a3c-dadd-4ca1-bc24-e69564649d25 · outbound

This paper cites Quotients of Buildings by Non-uniform Lattices.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Quotients of Buildings by Non-uniform Lattices

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:09.373796Z

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Observation 14326834-10c8-4152-aeae-2af55bebd574 · outbound

This paper cites Serre,Trees, Springer, Berlin, 1980.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Serre,Trees, Springer, Berlin, 1980

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:09.472217Z

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Unavailable: canonical work link unavailable.

Observation f5b45d0d-ba5d-45d6-b822-b0d9312612af · outbound

This paper cites Stuhler, Homological properties of certain arithmetic groups in the function field case,Invent.

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$ Stuhler, Homological properties of certain arithmetic groups in the function field case,Invent

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-31T07:31:09.634753Z

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Pith citing papers

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