Pith Number

pith:KBMP7EZ5

pith:2013:KBMP7EZ5VMSDPWERN4MK2QMU6B

not attested not anchored not stored refs pending

Microscopic and soliton-like solutions of the Boltzmann-Enskog and generalized Enskog equations for elastic and inelastic hard spheres

A. S. Trushechkin

arxiv:1307.4741 v2 · 2013-07-17 · 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{KBMP7EZ5VMSDPWERN4MK2QMU6B}

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	2026-05-18T02:57:23.730623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5058ff933dab2437d8916f18ad4194f040f44fb370b08cefdb6bad264c132ccf

Aliases

arxiv: 1307.4741 · arxiv_version: 1307.4741v2 · doi: 10.48550/arxiv.1307.4741 · pith_short_12: KBMP7EZ5VMSD · pith_short_16: KBMP7EZ5VMSDPWER · pith_short_8: KBMP7EZ5

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/KBMP7EZ5VMSDPWERN4MK2QMU6B \
  | 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: 5058ff933dab2437d8916f18ad4194f040f44fb370b08cefdb6bad264c132ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328916703b5e410c541eb7ccfe74596a6299407b5f6639f0d510fd11a39a076e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-17T19:34:38Z",
    "title_canon_sha256": "f2689f0cc3c2af91a93e3b8bd606341d84c391488e36055319b5d5a413266772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4741",
    "kind": "arxiv",
    "version": 2
  }
}