Pith Number

pith:VVWQHPUA

pith:2014:VVWQHPUAE7IHOPSXVCJROAO2E3

not attested not anchored not stored refs pending

Evolution of statistical averages: an interdisciplinary proposal using the Chapman-Enskog method

A. Mariscal-Sanchez, A. Sandoval-Villalbazo

arxiv:1407.5123 v3 · 2014-07-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVWQHPUAE7IHOPSXVCJROAO2E3}

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	2026-05-18T02:25:56.026462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6d03be8027d0773e57a8931701da26d683992526daa8b069bfce751c4ba435

Aliases

arxiv: 1407.5123 · arxiv_version: 1407.5123v3 · doi: 10.48550/arxiv.1407.5123 · pith_short_12: VVWQHPUAE7IH · pith_short_16: VVWQHPUAE7IHOPSX · pith_short_8: VVWQHPUA

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/VVWQHPUAE7IHOPSXVCJROAO2E3 \
  | 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: ad6d03be8027d0773e57a8931701da26d683992526daa8b069bfce751c4ba435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0fad8c4de000b175106d9df651c8c6f85ae3d942b57b1030eeb25f39f7435bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-07-18T22:02:10Z",
    "title_canon_sha256": "cbfef88b16c8897804ecdf2d7ffa7a9420587ca089cb978a22ecaabec687d999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5123",
    "kind": "arxiv",
    "version": 3
  }
}