Pith Number

pith:36I5W77N

pith:2015:36I5W77NOUFFKZMDVJQYFHX4Z6

not attested not anchored not stored refs pending

Macroscopic regularity for the Boltzmann equation

Feimin Huang, Yong Wang

arxiv:1512.08608 v2 · 2015-12-29 · 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{36I5W77NOUFFKZMDVJQYFHX4Z6}

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	2026-05-18T01:23:18.386165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df91db7fed750a556583aa61829efccfafa97af164a5808a4d4f4c16e15057c5

Aliases

arxiv: 1512.08608 · arxiv_version: 1512.08608v2 · doi: 10.48550/arxiv.1512.08608 · pith_short_12: 36I5W77NOUFF · pith_short_16: 36I5W77NOUFFKZMD · pith_short_8: 36I5W77N

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/36I5W77NOUFFKZMDVJQYFHX4Z6 \
  | 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: df91db7fed750a556583aa61829efccfafa97af164a5808a4d4f4c16e15057c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "693b73ad717397e6de46c1631d2f5abe86ea617496d49959eba9283c7ab60c2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-29T06:27:08Z",
    "title_canon_sha256": "6b14a61fdc0eda6a55c8b0f7ce8e151941954588a0d20c8945bb8f30cea8e12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08608",
    "kind": "arxiv",
    "version": 2
  }
}