Pith Number

pith:G7C3KHGA

pith:2012:G7C3KHGAJD3OGQL2GEEQS3U74I

not attested not anchored not stored refs pending

Convergence to Equilibrium of Some Kinetic Models

Minh-Binh Tran

arxiv:1208.0923 v1 · 2012-08-04 · math.AP · 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{G7C3KHGAJD3OGQL2GEEQS3U74I}

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	2026-05-18T03:49:21.100897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c5b51cc048f6e3417a3109096e9fe225be544922d6bcb929b5e81bed10e960

Aliases

arxiv: 1208.0923 · arxiv_version: 1208.0923v1 · doi: 10.48550/arxiv.1208.0923 · pith_short_12: G7C3KHGAJD3O · pith_short_16: G7C3KHGAJD3OGQL2 · pith_short_8: G7C3KHGA

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/G7C3KHGAJD3OGQL2GEEQS3U74I \
  | 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: 37c5b51cc048f6e3417a3109096e9fe225be544922d6bcb929b5e81bed10e960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8191b6e76499c13ea8b3ca1ff1f7795d814920892d6c9c5dd813666861b76482",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-04T12:55:32Z",
    "title_canon_sha256": "7d84a5713bc945f6069de8fdabe2569779535543ae50fe5d8ab9745bfac755d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0923",
    "kind": "arxiv",
    "version": 1
  }
}