Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T13:40:29.217973Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 3 inbound Pith citation observations for arXiv:2605.24386.
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 2026-06-30T13:40:29.217973Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T00:53:42.534924Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-07T18:34:04.252608Z
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2c3b1be0-7610-4bd1-a95a-8b92cf8df8de · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 203c4971-df60-45cd-b6c0-c94e6bf6073a · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 443af2b8-f90e-478e-8bb4-d5739d5440ee · outbound
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4f2ca639-bc62-4e3c-aa3c-fdf23aa77dba · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eb5b68e4-6415-4e00-b4d3-b1df8a8b316e · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c1c6c520-635e-4d8a-8a81-8a9af400e906 · outbound
Fermi-Dirac machines as quantizations of neurons 41 Had|0⟩⟨0| Had ρm σZ Hj e−iH(θ)s2t2/T eiH(θ)t2/T Had|0⟩⟨0| Had ρm σZ Hk e−iH(k,λ)s1t1/T eiH(k,λ)t1/T FIG
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 882d5132-18e8-43d6-85ed-08168334f2f8 · outbound
Fermi-Dirac machines as quantizations of neurons Set Yℓ ← 2∥θ∥ 1 T 2 sgn(θk) X (1) ℓ −y m ·X (2) ℓ ·Z (1) ℓ ·Z (2) ℓ .(B9) Setℓ←ℓ+ 1
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 093bc2a8-d0dd-47de-a8dd-7766a151b6db · outbound
Fermi-Dirac machines as quantizations of neurons Compute the averageYL := 1 L PL ℓ=1 Yℓ and output this value as an estimate of ∂ ∂θj L(θ)
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 01693e93-c38d-4568-ab54-8cd0689e0cde · outbound
Fermi-Dirac machines as quantizations of neurons Lemma 2.Letx∈R, and letx7→A(x)be a Hermitian-valued function
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 39573ec6-86c3-45dd-bb15-86b874c1b23f · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8388e3e8-927d-4784-b09c-7a163efe65fd · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 72dfefea-aee8-40a6-9885-d49ef9976d30 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7cf7ee1c-808a-4b9c-b7c5-5e68f5dfc130 · outbound
Fermi-Dirac machines as quantizations of neurons Compute the averageWM := 1 M PM m=1 Wm and output this value as an estimate ofζj
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation abbabdc2-03b1-45b9-ab9c-1824a6fba3e9 · outbound
Fermi-Dirac machines as quantizations of neurons 46 Had|0⟩⟨0| Had ρ σZ Hj e−iymH(θ)st/T eiymH(θ)t/T Hk FIG
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 889262f4-9f65-4549-bd37-422ec5f09c06 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f6c65273-cb61-412c-9e50-c8d30cff7224 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e84b318d-525c-426b-b231-e3d9c9953d66 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 47e413e1-36fb-4717-8a0a-edec7af8b062 · outbound
Fermi-Dirac machines as quantizations of neurons Set Wm ← J θ(j)(λ) 1 2T s·sgn(θ k)Zm ·X m.(C83) Setm←m+ 1
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 382debc7-8dda-4277-9ae3-131f92e55add · outbound
Fermi-Dirac machines as quantizations of neurons Compute the averageWM := 1 M PM m=1 Wm and output this value as an estimate ofζ
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5c1c784f-111d-4b72-b194-ad523a698e76 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 86401963-918c-4125-b0fe-2664bf53ec6d · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d2fdf766-64ec-4941-9ac7-d635cfc6fd97 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 03483ac8-7b6a-42d7-ae59-5018fc696af1 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 34702a71-d1f3-42c9-a1ee-be288786253f · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 198710bf-b2d9-46a5-b95e-ffa7910b3177 · outbound
Fermi-Dirac machines as quantizations of neurons SetW m ← ∥θ∥1 2T s· sgn(θk)Zm ·X m
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8b4fc4b3-af05-4b2c-9d44-ca45a95587c8 · outbound
Fermi-Dirac machines as quantizations of neurons Compute the averageWM := 1 M PM m=1 Wm and output this value as an estimate ofζj
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 088cd750-9ba3-4ef7-9461-8efe88d35c12 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f20b6475-a2bf-4510-aadf-a88759f14980 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cbaa78a3-a06a-4843-b7ec-18b0b0f7a49a · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 88e8b7fd-dad3-46ec-a343-4363275f4d97 · outbound
Fermi-Dirac machines as quantizations of neurons Set Wm ← J θ(j)(λ) 1 2T s·sgn(θ k)Zm ·X m.(D24) Setm←m+ 1
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fabe1e5b-ccdb-4bdd-8a06-0605d6f99a63 · outbound
Fermi-Dirac machines as quantizations of neurons Compute the averageWM := 1 M PM m=1 Wm and output this value as an estimate ofζ
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a2872b07-a32b-4642-9cc1-86405ca919b8 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c5a26054-4c31-491c-9a18-32a5643dc879 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f8dcf6b9-a3c8-4cf1-ad85-dec8a04280f4 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 77c9f180-0928-48c5-885a-afb5a467d1d5 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6e806790-556f-4a2a-a797-cd0c761bb66e · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bcf6cac4-554a-4bf2-ada1-7065d488eb12 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 74e0fdaa-af8c-488f-a0e7-cf56690056a6 · outbound
Fermi-Dirac machines as quantizations of neurons SetW m ← ∥θ∥1 2T s· sgn(θk)Zm ·X m
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5adfe556-fe13-4958-b3d5-3d906494d611 · outbound
Fermi-Dirac machines as quantizations of neurons Compute the averageWM := 1 M PM m=1 Wm and output this value as an estimate ofζj
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ff302b1e-2eca-4aa6-ba89-226845ddcb0e · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fe3a896e-fa36-4000-bb56-68d455867928 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 07aaf8b9-1561-4464-b7d8-eaf135b0331e · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2387f966-12b3-453f-b62d-d704d13e6e61 · outbound
Fermi-Dirac machines as quantizations of neurons Set Wm ← J θ(j)(λ) 1 2T s·sgn(θ k)Zm ·X m.(E59) Setm←m+ 1
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 71a3d22c-1c0e-4a4b-93e4-f3f5e4db9649 · outbound
Fermi-Dirac machines as quantizations of neurons Compute the averageWM := 1 M PM m=1 Wm and output this value as an estimate ofζ
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0567eac4-c168-4bf9-b3f4-510951bd80cd · outbound
Fermi-Dirac machines as quantizations of neurons As in Appendix A3, let us first suppose that the state of the data register is pure and given by|φ⟩ ⟨φ|, where|φ⟩is a state vector
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cf100aff-7659-44e4-9c02-1365c817a8ab · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6c0753df-dc09-445a-84fe-539eb22a8cab · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bc9246a2-6196-4a0f-81cc-63a1da998afd · outbound
Fermi-Dirac machines as quantizations of neurons erf √ 2H(θ) T ! ρ # = Tr
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 680c2331-c204-47e0-9709-7eb892102d6e · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fbc92ba6-1725-4ce7-8df4-94a287618bed · outbound
Fermi-Dirac machines as quantizations of neurons Z 1 0 ds X k,ℓ (sλk + (1−s)λ ℓ)e −i(sλk+(1−s)λℓ)vtΠk ∂ ∂x A(x) Πℓ # (F75) =E t∼νT , v∼υ
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 89846219-5ed6-4bb1-b37e-de745634a1d3 · outbound
Fermi-Dirac machines as quantizations of neurons 74 Lemma 8.Letx∈R, letx7→A(x)be a Hermitian-valued function, and letT >0
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 628b9e8e-0838-4054-a6fc-6805362b5e64 · outbound
Fermi-Dirac machines as quantizations of neurons φ2 J1X j′=1 θ(2) kj ′A(1) j′ ! ρ # = Tr h DB(2) k (θ(2)) A(1) j ρ i ,(G1) ∂ ∂θ (1) ji Tr
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 79bda16c-f393-4493-963d-e2dd329307ef · outbound
Fermi-Dirac machines as quantizations of neurons DB(3) k (θ(3)) ∂ ∂θ (2) j2j1 B(3) k θ(3) ! ρ # (G37) = Tr DB(3) k (θ(3)) ∂ ∂θ (2) j2j1 J2X j′ 2=1 θ(3) kj ′ 2 A(2) j′ 2 θ(2) ρ (G38) = J2X j′ 2=1 θ(3) kj ′ 2 Tr
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e5f0d2be-199f-462d-8bc0-ba1f5eeb82b0 · outbound
Fermi-Dirac machines as quantizations of neurons , θJ)) = Ξ(η∥ρ(θ1, θ2,
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 95abeed1-a14e-4acd-b0b0-48e978236372 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 078ae32e-94a1-4f55-9dfa-32d552d24f38 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 05b56974-23d8-4a90-a6ed-15512839fa91 · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b5f631ad-d9fb-4fde-9342-71a43d087232 · outbound
Fermi-Dirac machines as quantizations of neurons Set Wk ← ∥θ∥ 1 ·sgn(θ j) (Xη k −X ρ k)
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 99e4edde-6dea-4ba3-b753-10ad523722ce · outbound
Fermi-Dirac machines as quantizations of neurons Compute the average WK := 1 K PK k=1 Wk and output lnd+ WK as an estimate ofΞ(η∥ρ(θ))
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e7c37ca0-db61-4840-9d12-1c4928a72aeb · outbound
Fermi-Dirac machines as quantizations of neurons Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 54b447a3-b7bd-4c88-989e-d69c07d68ddc · outbound
Fermi-Dirac machines as quantizations of neurons Set Wk ← − ∥θ∥ 1 ·sgn(θ j)X ρ k
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3b28920a-c223-4827-b83b-23ada01fde9b · inbound
Canonical quantization of neurons Fermi-Dirac machines as quantizations of neurons
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66f5045e-a343-4edd-b5b3-1f67316607c3 · inbound
Quantum Spectral Anomaly Detection Fermi-Dirac machines as quantizations of neurons
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 31755672-d0b7-4ba8-a066-3ce84d9e368c · inbound
Unifying quantum measurement constructions via a relative-entropy minimum change principle Fermi-Dirac machines as quantizations of neurons
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.