Pith Number

pith:HX7TUHAS

pith:2011:HX7TUHASSO4WWA3EZWIIFLKYHQ

not attested not anchored not stored refs pending

Thermodynamics and Geometry of Reversible and Irreversible Markov Processes

Hao Ge, Hong Qian, Woo H. Kim

arxiv:1108.4055 v2 · 2011-08-19 · cond-mat.stat-mech · 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{HX7TUHASSO4WWA3EZWIIFLKYHQ}

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	2026-05-18T04:14:27.246284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dff3a1c1293b96b0364cd9082ad583c0b1050904a795c79db0c6fc6f305ea0e

Aliases

arxiv: 1108.4055 · arxiv_version: 1108.4055v2 · doi: 10.48550/arxiv.1108.4055 · pith_short_12: HX7TUHASSO4W · pith_short_16: HX7TUHASSO4WWA3E · pith_short_8: HX7TUHAS

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/HX7TUHASSO4WWA3EZWIIFLKYHQ \
  | 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: 3dff3a1c1293b96b0364cd9082ad583c0b1050904a795c79db0c6fc6f305ea0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd95dd16f4de52c903c0c8d1669afe5112d73b55a23812585926c7a0554717f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-08-19T21:48:45Z",
    "title_canon_sha256": "f7a26fda4fb5ec6ed3020b33732665f8500c221207ab9b0594112931f830dd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4055",
    "kind": "arxiv",
    "version": 2
  }
}