Pith Number

pith:73DBCIVK

pith:2015:73DBCIVKFLVEQYVZJECAD4AIT4

not attested not anchored not stored refs pending

A characterization of probability measure with finite moment and an application to the Boltzmann equation

Shuaikun Wang, Tong Yang, Yong-Kum Cho, Yoshinori Morimoto

arxiv:1512.00629 v1 · 2015-12-02 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73DBCIVKFLVEQYVZJECAD4AIT4}

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	2026-05-18T01:25:25.523855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec61122aa2aea4862b9490401f0089f2ea64a0a19975d76909c22b50638dfcf

Aliases

arxiv: 1512.00629 · arxiv_version: 1512.00629v1 · doi: 10.48550/arxiv.1512.00629 · pith_short_12: 73DBCIVKFLVE · pith_short_16: 73DBCIVKFLVEQYVZ · pith_short_8: 73DBCIVK

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/73DBCIVKFLVEQYVZJECAD4AIT4 \
  | 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: fec61122aa2aea4862b9490401f0089f2ea64a0a19975d76909c22b50638dfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a987a9cc05b812d03173eda129a9de382e15efcb67201e1a4309e27ff01590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-02T10:04:37Z",
    "title_canon_sha256": "3ba99f03fc573cd6c52c9041d6acc893d80fd39613bf85b390833ca4bb1f1f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00629",
    "kind": "arxiv",
    "version": 1
  }
}