Pith Number

pith:PFXY4FWG

pith:2002:PFXY4FWGAUHLN6T3ASLYQUNOG2

not attested not anchored not stored refs pending

Groupoids, von Neumann Algebras and the Integrated Density of States

D. Lenz, I. Veseli\'c, N. Peyerimhoff

arxiv:math-ph/0203026 v2 · 2002-03-16 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFXY4FWGAUHLN6T3ASLYQUNOG2}

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	2026-05-18T01:09:00.014413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796f8e16c6050eb6fa7b04978851ae36875819d7851a70f95fdf1ed2062cc5cf

Aliases

arxiv: math-ph/0203026 · arxiv_version: math-ph/0203026v2 · doi: 10.48550/arxiv.math-ph/0203026 · pith_short_12: PFXY4FWGAUHL · pith_short_16: PFXY4FWGAUHLN6T3 · pith_short_8: PFXY4FWG

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/PFXY4FWGAUHLN6T3ASLYQUNOG2 \
  | 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: 796f8e16c6050eb6fa7b04978851ae36875819d7851a70f95fdf1ed2062cc5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f9b7d6346e3bf7a430321875169ea5cbc91712c136f7f13192eec84c8406ba8",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-03-16T15:19:04Z",
    "title_canon_sha256": "1a9fda9a1b95426cc051e6422ea041ce09db4b98d3ade03941e55bd9715780ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0203026",
    "kind": "arxiv",
    "version": 2
  }
}