Pith Number

pith:NDCV6HZZ

pith:2012:NDCV6HZZ2VW3H3BUNQLET3OBLW

not attested not anchored not stored refs pending

Regularity of the Boltzmann Equation in Convex Domains

Ariane Trescases, Chanwoo Kim, Daniela Tonon, Yan Guo

arxiv:1212.1694 v4 · 2012-12-07 · 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{NDCV6HZZ2VW3H3BUNQLET3OBLW}

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	2026-05-18T00:51:58.598545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c55f1f39d56db3ec346c1649edc15d90f270fbe2b1101e268e3c775bf2f4f6

Aliases

arxiv: 1212.1694 · arxiv_version: 1212.1694v4 · doi: 10.48550/arxiv.1212.1694 · pith_short_12: NDCV6HZZ2VW3 · pith_short_16: NDCV6HZZ2VW3H3BU · pith_short_8: NDCV6HZZ

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/NDCV6HZZ2VW3H3BUNQLET3OBLW \
  | 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: 68c55f1f39d56db3ec346c1649edc15d90f270fbe2b1101e268e3c775bf2f4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6b42d010f8f1a45b79afc2172ffd2c92494d9c9043dc367565f29165eae6cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-07T19:53:53Z",
    "title_canon_sha256": "a70647bec7f2dd25831a942fc2f3e3a2b806b6255db8a4a0596527b31e53f8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1694",
    "kind": "arxiv",
    "version": 4
  }
}