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Paper Citation Record · LEDGER

Schur multipliers of special p-groups of rank 2

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.06409.

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

pith.paper-citation-record.v1
1908.06409 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:52:48.935886Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3440aea0-e6e0-4d85-9144-27e804cc17dd · outbound

This paper cites Berkovich, Z.

Schur multipliers of special p-groups of rank 2 Berkovich, Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.150790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.879797Z digest=sha256:d51bea977e56c09d20e76b297256a1acd638d84ce90db2d8e70595e43fc0ba6d

Observation 73787d8e-e8e3-4956-ae58-39f236ebad0f · outbound

This paper cites an unresolved cited work.

Schur multipliers of special p-groups of rank 2 Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:49.134648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.885246Z digest=sha256:0af1dc30cd281ad50612b6609d4a217acdc0d26cbab2dc0f6425080c0dfb42ba

Observation 6d76e5ac-0b10-41ca-9e15-26dca6282fb9 · outbound

This paper cites Blackburn, L.

Schur multipliers of special p-groups of rank 2 Blackburn, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.119839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.890226Z digest=sha256:c777af6b04495c3e273d870414cbc07f1026864101e0f17de5c750262f93d948

Observation 32903f9b-d659-4201-bf97-3404984d48a0 · outbound

This paper cites Ganea, Homologie et extensions centrales de groupes , C.

Schur multipliers of special p-groups of rank 2 Ganea, Homologie et extensions centrales de groupes , C

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.105070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.895288Z digest=sha256:221fc887e3f4b45d6bd68aec65d2adb6ef717876eb109b6c810d9b0c0684b13b

Observation 62dbea1d-c84c-4c06-a757-94a5ca10017b · outbound

This paper cites Heineken, Nilpotent groups of class two that can appear as central quot ient groups , Rend.

Schur multipliers of special p-groups of rank 2 Heineken, Nilpotent groups of class two that can appear as central quot ient groups , Rend

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.090128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.901035Z digest=sha256:484c91683836941dc22ec1cf9ca396a94cf3720c7a888f4f19cfc06f583317f0

Observation 5f386f10-c0b3-4a99-b615-214982c86595 · outbound

This paper cites Heineken, L.C.

Schur multipliers of special p-groups of rank 2 Heineken, L.C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.075330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.907244Z digest=sha256:6b24319dd31f39c1f563839a5a7034d1e16701c3482deb11b2fd43251dc8a098

Observation 3f78519b-188c-4720-9ce6-ee1dd152ee7b · outbound

This paper cites James, The groups of order p6 (p an odd prime) , Math.

Schur multipliers of special p-groups of rank 2 James, The groups of order p6 (p an odd prime) , Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.060169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.912344Z digest=sha256:0242c2537c47ee2ffbe8066e06ff6b588162435732076566bb28ab475084eea8

Observation 29ebde4a-ee0c-48cb-a572-b7b777ff0815 · outbound

This paper cites Karpilovsky, The Schur multiplier.

Schur multipliers of special p-groups of rank 2 Karpilovsky, The Schur multiplier

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.043564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.917690Z digest=sha256:e46c66b9c972c4d19b73aefcae1ed05b300662a79a3a35a24a5344b103c42be3

Observation a22c39e6-6983-4d5f-abd5-5a0191b00655 · outbound

This paper cites Niroomand, On the order of Schur multiplier of non-abelian p groups , Journal of Algebra, 322 (2009), 4479-4482.

Schur multipliers of special p-groups of rank 2 Niroomand, On the order of Schur multiplier of non-abelian p groups , Journal of Algebra, 322 (2009), 4479-4482

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.027857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.922402Z digest=sha256:cc96a91270e09ff0b33bc20eb05fb2f510713149739a1b73fc9024827b515ce1

Observation fd178623-3f5a-4eeb-a470-1a257ff3d825 · outbound

This paper cites Niroomand, A note on the Schur multiplier of groups of prime power order , Ricerche di Matematica, 61 (2012), 341-346.

Schur multipliers of special p-groups of rank 2 Niroomand, A note on the Schur multiplier of groups of prime power order , Ricerche di Matematica, 61 (2012), 341-346

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:49.011831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.926584Z digest=sha256:f7ab0ba5e38a32b9273187e7b2d91a4cfafd1087e0eadb6768a644440107ecea

Observation 477a4e3c-6001-4247-b554-1bc038d0defd · outbound

This paper cites Niroomand, Classifying p-groups by their Schur multipliers , Math.

Schur multipliers of special p-groups of rank 2 Niroomand, Classifying p-groups by their Schur multipliers , Math

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:48.995540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.930624Z digest=sha256:5db60500320353c58c8301764af7f2d85afa87cd0009635e528fb1a34ee83953

Observation b72e7f80-3af9-4fe8-8a69-f34c96eb7817 · outbound

This paper cites an unresolved cited work.

Schur multipliers of special p-groups of rank 2 Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:48.976808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:48.935886Z digest=sha256:7c6c7d43ca5a7ec048856f74a04ce306a10100c63eb289660d4a63c76ac5041d

Pith citing papers

No inbound Pith citation observations are available.