Pith Number

pith:HDWLYOZR

pith:2011:HDWLYOZRUEHKNEM3D64JTKW4JH

not attested not anchored not stored refs pending

Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics

C. Gruber, S. D. Brechet

arxiv:1102.3418 v1 · 2011-02-16 · physics.flu-dyn · 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{HDWLYOZRUEHKNEM3D64JTKW4JH}

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	2026-05-18T04:28:30.307247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ecbc3b31a10ea6919b1fb899aadc49dee68f0782424abf0ccdbb8e4e428689

Aliases

arxiv: 1102.3418 · arxiv_version: 1102.3418v1 · doi: 10.48550/arxiv.1102.3418 · pith_short_12: HDWLYOZRUEHK · pith_short_16: HDWLYOZRUEHKNEM3 · pith_short_8: HDWLYOZR

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/HDWLYOZRUEHKNEM3D64JTKW4JH \
  | 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: 38ecbc3b31a10ea6919b1fb899aadc49dee68f0782424abf0ccdbb8e4e428689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4050b0b7a8ebf3f0404a5f2d62d45f822482f688c7e85fb1366e93474e3d28",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-02-16T20:25:22Z",
    "title_canon_sha256": "4bdfe514f38feae6011015289e1836aa19de158bdaf2565a89b893b7a410cbeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3418",
    "kind": "arxiv",
    "version": 1
  }
}