Pith Number

pith:B4XPSJES

pith:2013:B4XPSJESTKYQFLVKMGQLZNJ6JY

not attested not anchored not stored refs pending

On the non-Markovian Enskog Equation for Granular Gases

M.S. Borovchenkova, V.I. Gerasimenko

arxiv:1307.6676 v2 · 2013-07-25 · 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{B4XPSJESTKYQFLVKMGQLZNJ6JY}

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	2026-05-18T03:04:08.281471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2ef924929ab102aeaa61a0bcb53e4e05bab43c96d4db8657bd826d433c1bf8

Aliases

arxiv: 1307.6676 · arxiv_version: 1307.6676v2 · doi: 10.48550/arxiv.1307.6676 · pith_short_12: B4XPSJESTKYQ · pith_short_16: B4XPSJESTKYQFLVK · pith_short_8: B4XPSJES

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/B4XPSJESTKYQFLVKMGQLZNJ6JY \
  | 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: 0f2ef924929ab102aeaa61a0bcb53e4e05bab43c96d4db8657bd826d433c1bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c8f3f3c2b274a7744341c51e7bf9a94bef4d2c4a9c01c2751aa2737cc8ad2a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-25T09:17:23Z",
    "title_canon_sha256": "317590f4aec884cd6bbb00a52336f9f9218355ae013fb76b521c339aede4c4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6676",
    "kind": "arxiv",
    "version": 2
  }
}