Pith Number

pith:A2AUAAVM

pith:2015:A2AUAAVMYEL54CKF2SIRXDGKSK

not attested not anchored not stored refs pending

From hard sphere dynamics to the Stokes-Fourier equations: An $L^2$ analysis of the Boltzmann-Grad limit

Isabelle Gallagher (IMJ), Laure Saint-Raymond (DMA), Thierry Bodineau (CMAP)

arxiv:1511.03057 v3 · 2015-11-10 · 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{A2AUAAVMYEL54CKF2SIRXDGKSK}

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	2026-05-18T01:01:44.859403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06814002acc117de0945d4911b8cca92877aa936eb0405b89f18ad4b5fd30ba2

Aliases

arxiv: 1511.03057 · arxiv_version: 1511.03057v3 · doi: 10.48550/arxiv.1511.03057 · pith_short_12: A2AUAAVMYEL5 · pith_short_16: A2AUAAVMYEL54CKF · pith_short_8: A2AUAAVM

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/A2AUAAVMYEL54CKF2SIRXDGKSK \
  | 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: 06814002acc117de0945d4911b8cca92877aa936eb0405b89f18ad4b5fd30ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d6807a965590b942cfdcd58aafd8d4d0851688403e04c52228e458d10eb919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-10T10:40:12Z",
    "title_canon_sha256": "361fad1f9644cdc2f3978be5b30a7f6c6bd7536af5f11d6a0213476ad92fef78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03057",
    "kind": "arxiv",
    "version": 3
  }
}