Pith Number

pith:XREG5VGT

pith:2011:XREG5VGTPRSZXYG4ZRF2QKCU33

not attested not anchored not stored refs pending

Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction

Claude-Alain Pillet, Vojkan Jaksic, Yan Pautrat, Yoshiko Ogata

arxiv:1106.3786 v1 · 2011-06-19 · math-ph · 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{XREG5VGTPRSZXYG4ZRF2QKCU33}

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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.

Cited by

1 paper in Pith

A Unified Framework for Locally Stable Phases

Receipt and verification

First computed	2026-05-18T04:19:42.152982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc486ed4d37c659be0dccc4ba82854defc252ba47362fe3ef1d3e1f7352c760b

Aliases

arxiv: 1106.3786 · arxiv_version: 1106.3786v1 · doi: 10.48550/arxiv.1106.3786 · pith_short_12: XREG5VGTPRSZ · pith_short_16: XREG5VGTPRSZXYG4 · pith_short_8: XREG5VGT

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/XREG5VGTPRSZXYG4ZRF2QKCU33 \
  | 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: bc486ed4d37c659be0dccc4ba82854defc252ba47362fe3ef1d3e1f7352c760b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa0a6811c5de3e38de27600c7d04f38269b3e94f4a5c2215b83ea33642dbdbd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-19T22:11:32Z",
    "title_canon_sha256": "442f67d1f31adc8e8de33e9aaa61c5339713aceeaefec19e83977a764d059a21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3786",
    "kind": "arxiv",
    "version": 1
  }
}