Pith Number

pith:JN5JTGDH

pith:2003:JN5JTGDHVDF537PXFDI4QGUW7H

not attested not anchored not stored refs pending

The von Neumann entropy and information rate for integrable quantum Gibbs ensembles, 2

Oliver Johnson, Yuri Suhov

arxiv:math-ph/0305016 v1 · 2003-05-08 · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JN5JTGDHVDF537PXFDI4QGUW7H}

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	2026-05-18T04:08:53.864430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7a999867a8cbddfdf728d1c81a96f9e2647ede04df136861b36967903166ab

Aliases

arxiv: math-ph/0305016 · arxiv_version: math-ph/0305016v1 · doi: 10.48550/arxiv.math-ph/0305016 · pith_short_12: JN5JTGDHVDF5 · pith_short_16: JN5JTGDHVDF537PX · pith_short_8: JN5JTGDH

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/JN5JTGDHVDF537PXFDI4QGUW7H \
  | 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: 4b7a999867a8cbddfdf728d1c81a96f9e2647ede04df136861b36967903166ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "207bc7ddb4e7608c5b6b6d1399b3bf7d87bf4df79cd7498ef73c3d424b966f85",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-05-08T11:19:27Z",
    "title_canon_sha256": "18df0b2cb1cc5d264bfdf5323ba6b55abd58edb148eea8be20c1d580e92d0e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0305016",
    "kind": "arxiv",
    "version": 1
  }
}