Pith Number

pith:XNF4PXLW

pith:1996:XNF4PXLW27PUBIGWD5T4IWQEKE

not attested not anchored not stored refs pending

Equilibrium Statistical Ensembles and Structure of the Entropy Functional in Generalized Quantum Dynamics

L.P. Horwitz, Stephen L. Adler

arxiv:hep-th/9610153 v2 · 1996-10-20 · hep-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{XNF4PXLW27PUBIGWD5T4IWQEKE}

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	2026-05-18T04:24:15.787412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4bc7dd76d7df40a0d61f67c45a04513451bbb9c0b7a90db4d04ef8bcda7a16

Aliases

arxiv: hep-th/9610153 · arxiv_version: hep-th/9610153v2 · doi: 10.48550/arxiv.hep-th/9610153 · pith_short_12: XNF4PXLW27PU · pith_short_16: XNF4PXLW27PUBIGW · pith_short_8: XNF4PXLW

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/XNF4PXLW27PUBIGWD5T4IWQEKE \
  | 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: bb4bc7dd76d7df40a0d61f67c45a04513451bbb9c0b7a90db4d04ef8bcda7a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e46c7feb717321b574436e6102e92042bbf9aefdf95648f241138209ee43dee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-10-20T07:41:26Z",
    "title_canon_sha256": "f8667ec051297e8e709df32d7b5790976e989d9742c49a7fbc8a758e4fd87a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9610153",
    "kind": "arxiv",
    "version": 2
  }
}