Pith Number

pith:YER3DH6C

pith:2010:YER3DH6CDYC3RRTVLNIGOVGWXG

not attested not anchored not stored refs pending

Constructing a Model Transport Equation for a Massless Bose Gas and its Analytic Solution

A.A. Yushkanov, A.V. Latyshev

arxiv:1012.2961 v1 · 2010-12-14 · 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{YER3DH6CDYC3RRTVLNIGOVGWXG}

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	2026-05-18T04:33:18.963427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c123b19fc21e05b8c6755b506754d6b98b60e6464d8f79d878a50f3cce027207

Aliases

arxiv: 1012.2961 · arxiv_version: 1012.2961v1 · doi: 10.48550/arxiv.1012.2961 · pith_short_12: YER3DH6CDYC3 · pith_short_16: YER3DH6CDYC3RRTV · pith_short_8: YER3DH6C

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/YER3DH6CDYC3RRTVLNIGOVGWXG \
  | 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: c123b19fc21e05b8c6755b506754d6b98b60e6464d8f79d878a50f3cce027207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "197ac91b31048922f5f76e347b7b446db7ce613328996104dfcd1de1bbe32b59",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-14T08:29:59Z",
    "title_canon_sha256": "128d668c7cda47eec20c61fb2de2581b9e1c88ac48bca80bbe28d4d374cc2d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2961",
    "kind": "arxiv",
    "version": 1
  }
}