Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:35:35.365317Z
Paper Citation Record Β· LEDGER
As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 7 inbound Pith citation observations for arXiv:2509.04906.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:35:35.365317Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-30T23:44:52.009361Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-30T23:45:07.421873Z
45 of 45 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 95d85b0f-1bfb-4829-9b72-81eb29553dde Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions i sin πΒ· Λπ 2 n πβi πΒ· Λπ 2 ΛπΊβ π Λπ πβπβi πΒ· Λπ 2 Λπβ π Λπ΅π o +cos πΒ· Λπ 2 n πi πΒ· Λπ 2 Λπ β π ΛπΊβ βπ+πβi πΒ· Λπ 2 Λπβ π Λπ΅β βπ o +h.c. # ,(A1) π Λπ₯Λπ§ = βοΈ πβBZ
Reference 1
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.
Observation 52e44c0c-47b0-4010-a53f-78596ccbf10c Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions # ,(A7) where Λπ := Λπ₯+ Λπ¦+ Λπ§
Reference 2
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.
Observation 4d23b7b8-81bd-49fe-adaa-69d6da51b69b Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 3
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.
Observation 8ac4d952-8c7c-46ab-bf6f-896a3e0cf248 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Under the local transformation in Eq
Reference 4
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.
Observation e479b900-7950-48f0-9cf5-92a5a1e397d2 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 5
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.
Observation 8c0914af-57b0-48c2-8db5-c989376ee707 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 6
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.
Observation 33a2e20c-53b4-4a86-82b4-5fbb8e88ef9e Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 7
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.
Observation d864648d-bbea-4d99-9d26-af2f5a22f0c1 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 8
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.
Observation c31dbaef-4ab6-471d-8793-d4df573507f4 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 9
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.
Observation ff1f246e-ccb5-401e-b6e9-bac58a75663b Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 428e4d7a-ba70-4e3f-b33e-e44e5b6fedff Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Banks, L
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c51eeb3-1a39-4355-a938-6f3637797a17 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Susskind, Lattice Fermions, Phys
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93b8b864-2b91-4180-ae48-4b377e764b1c Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 13
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.
Observation bfda57db-6287-48fa-ab8f-620a1170c2a4 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Quantized axial charge of staggered fermions and the chiral anomaly
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6a6e3f1-7a54-465f-8da3-a279f0e9adb0 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Staggered Fermions with Chiral Anomaly Cancellation
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 921e0c41-1568-46b0-887a-e53cd60879d2 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Quantized Axial Charge in the Hamiltonian Approach to Wilson Fermions
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3034a59-da77-459b-83ee-63fd943297d0 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Non-Perturbative Regularization of 1+1D Anomaly-Free Chiral Fermions and Bosons: On the equivalence of anomaly matching conditions and boundary gapping rules
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d46c2514-7fde-4165-893d-7368ceb04929 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions A Solution to the 1+1D Gauged Chiral Fermion Problem
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9708796-f8c1-46fc-acb6-fccbf984f086 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Gapped Chiral Fermions
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64f337cf-4d96-43ca-80f0-c9b2733fde72 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Comments on Symmetric Mass Generation in 2d and 4d
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3f3d34f-9a73-48b1-b71a-571cdb1fbbf1 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Symmetric Mass Generation in the 1+1 Dimensional Chiral Fermion 3-4-5-0 Model
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3337b57d-0f88-4387-a368-96aec7b523b5 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Symmetric Mass Generation
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e393f86e-f7e5-4940-9d1c-455eaa3d4a31 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions CT or P Problem and Symmetric Gapped Fermion Solution
Reference 23
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.
Observation 630c3124-5814-4ac8-9617-3ce575dd57c1 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Fermi Surface Symmetric Mass Generation
Reference 24
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.
Observation b0040611-5723-4fcf-b5fd-dda6d59ba21e Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Discrete symmetry and 't Hooft anomalies for 3450 model
Reference 25
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.
Observation 4fa86dda-d581-4e30-ad2a-61650d397fa6 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Exact Chiral Symmetries of 3+1D Hamiltonian Lattice Fermions
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4f71459-dde7-4c06-8f52-f044cbbe39f4 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 524b3c4a-a1b1-45be-9cc3-627d7e3088b8 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Catterall, A
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56fcf6bd-44db-4127-9040-4ddc9b09327e Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f21993e-d873-4eef-9f57-22f9bc1112eb Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Banks, Y
Reference 30
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.
Observation a85cecae-2f58-4962-bee9-f4cc94ddbf14 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 31
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.
Observation 12da805f-2928-44b5-93cb-1717880e4042 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Chiral Lattice Fermions From Staggered Fields
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b79887a-6ed8-4789-a0da-2534db4b73f3 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Anomalies and symmetric mass generation for Kaehler-Dirac fermions
Reference 33
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.
Observation 68bcbaa6-4185-43e1-9e69-4ee1978966ae Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Induced topological gravity and anomaly inflow from Kaehler-Dirac fermions in odd dimensions
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d3c2a18c-f20c-4d8a-a2ab-b9f28f2295ef Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions 't Hooft anomalies for staggered fermions
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d8aba66-bd93-42ee-9726-ed7141e39a48 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation deaa8007-5990-4525-b3ca-d4758f657f3c Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Affleck and E
Reference 37
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.
Observation f3469428-bf25-4e85-a252-5692bbe0a045 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Oshikawa, Topological approach to luttingerβs theorem and the fermi surface of a kondo lattice, Physical review letters 84 15, 3370 (2000)
Reference 38
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.
Observation 52e9cb67-bd10-4e4c-a98f-c43b94611266 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Lieb-Schultz-Mattis in Higher Dimensions
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c10bc641-4b6f-470b-8729-45bc1a429aee Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Topological Defect Lines and Renormalization Group Flows in Two Dimensions
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4920ce76-f34a-4c15-ba47-ea8bdcbfb574 Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Emergent (anomalous) higher symmetries from topological orders and from dynamical electromagnetic field in condensed matter systems
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 336cd2e4-dad4-4706-999a-65bc5d674e3c Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3159ac70-5112-4409-9ad3-4f8816748d6d Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Unresolved cited work
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78c99dee-739d-47bf-a8bc-bdfd5d9c428c Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Onsager, Crystal statistics
Reference 44
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.
Observation 5321043e-f303-4dbd-95ba-a329170ad8ab Β· outbound
Non-singlet conserved charges and anomalies in 3+1 D staggered fermions Non-Invertible Duality Defects in 3+1 Dimensions
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c25df2f-7f3d-44f3-931d-0a61e2aad7e5 Β· inbound
Symmetry-Enforced Fermi Surfaces Non-singlet conserved charges and anomalies in 3+1 D staggered fermions
Reference 39
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.
Observation fc9d201c-29ca-4764-944c-86a1af2d4371 Β· inbound
Minimal-doubling and single-Weyl Hamiltonians Non-singlet conserved charges and anomalies in 3+1 D staggered fermions
Reference 80
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.
Observation 35ae80fc-90a5-4824-8d7e-213c3a27cb82 Β· inbound
Taste-splitting mass and edge modes in $3+1$ D staggered fermions Non-singlet conserved charges and anomalies in 3+1 D staggered fermions
Reference 10
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.
Observation b2f5b889-793c-4f00-a589-8dda3e144fcb Β· inbound
Lattice chiral symmetry from bosons in 3+1d Non-singlet conserved charges and anomalies in 3+1 D staggered fermions
Reference 100
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.
Observation 1d76995e-d7b7-484d-be1f-c75960416ca4 Β· inbound
Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions Non-singlet conserved charges and anomalies in 3+1 D staggered fermions
Reference 66
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.
Observation 8a8f0ab7-5bc5-4df2-a4df-cd4087505dbe Β· inbound
Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions Non-singlet conserved charges and anomalies in 3+1 D staggered fermions
Reference 68
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.
Observation 41aeef6c-1ca8-41f5-b077-2329f0d03cb5 Β· inbound
Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions Non-singlet conserved charges and anomalies in 3+1 D staggered fermions
Reference 68
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.