Pith Number

pith:2NXTN2T6

pith:2018:2NXTN2T6F5TIRSKVPZVELVFFG7

not attested not anchored not stored refs pending

Macroscopic irreversibility and decay to kinetic equilibrium of the 1-body PDF for finite hard-sphere systems

Claudio Cremaschini, Massimo Tessarotto

arxiv:1812.01122 v1 · 2018-12-03 · math-ph · cond-mat.stat-mech · 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{2NXTN2T6F5TIRSKVPZVELVFFG7}

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	2026-05-17T23:59:04.084911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36f36ea7e2f6688c9557e6a45d4a537f26843228278f3ef047ebe84291ae764

Aliases

arxiv: 1812.01122 · arxiv_version: 1812.01122v1 · doi: 10.48550/arxiv.1812.01122 · pith_short_12: 2NXTN2T6F5TI · pith_short_16: 2NXTN2T6F5TIRSKV · pith_short_8: 2NXTN2T6

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/2NXTN2T6F5TIRSKVPZVELVFFG7 \
  | 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: d36f36ea7e2f6688c9557e6a45d4a537f26843228278f3ef047ebe84291ae764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c337dc7704974885b6f947b08be5d6f3d7e429ccf140c2417d63023f5f84b7dc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-03T22:58:44Z",
    "title_canon_sha256": "e2c4bdc379460f48b3862ade0704dfcffff8c22a1288da1bb354a28a94795b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01122",
    "kind": "arxiv",
    "version": 1
  }
}