Pith Number

pith:5K2G23AM

pith:2004:5K2G23AM67PE2GXBQK2KQTJ4IO

not attested not anchored not stored refs pending

Fredholm's Minors of Arbitrary Order: Their Representations as a Determinant of Resolvents and in Terms of Free Fermions and an Explicit Formula for Their Functional Derivative

Joshua Feinberg

arxiv:math-ph/0402029 v2 · 2004-02-11 · math-ph · cond-mat.other · hep-th · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5K2G23AM67PE2GXBQK2KQTJ4IO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T15:20:32.809552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab46d6c0cf7de4d1ae182b4a84d3c4398638517543033d04b75979a300459f5

Aliases

arxiv: math-ph/0402029 · arxiv_version: math-ph/0402029v2 · doi: 10.48550/arxiv.math-ph/0402029 · pith_short_12: 5K2G23AM67PE · pith_short_16: 5K2G23AM67PE2GXB · pith_short_8: 5K2G23AM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5K2G23AM67PE2GXBQK2KQTJ4IO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: eab46d6c0cf7de4d1ae182b4a84d3c4398638517543033d04b75979a300459f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c84abd0f8d1e394dbdac115239a2a200f60f431c0e0356d3f0b3a8b5a7c9b9",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-02-11T19:08:34Z",
    "title_canon_sha256": "7ac82097b5b99e21181500a0e9b93a78f2232ecf2d5e85c05d610df959ccc40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0402029",
    "kind": "arxiv",
    "version": 2
  }
}