Pith Number

pith:BCPLTFGF

pith:2012:BCPLTFGFA2PTFDS6VZ25C6W5KB

not attested not anchored not stored refs pending

From Newton to Boltzmann: hard spheres and short-range potentials

Benjamin Texier, Isabelle Gallagher, Laure Saint-Raymond

arxiv:1208.5753 v2 · 2012-08-28 · 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{BCPLTFGFA2PTFDS6VZ25C6W5KB}

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.

Cited by

1 paper in Pith

Quantitative approximation of the Vlasov(-Fokker-Planck)-Navier-Stokes system by stochastic particle systems

Receipt and verification

First computed	2026-05-18T02:20:59.901282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089eb994c5069f328e5eae75d17add50785179d0c45cdd4e6acd173f91178951

Aliases

arxiv: 1208.5753 · arxiv_version: 1208.5753v2 · doi: 10.48550/arxiv.1208.5753 · pith_short_12: BCPLTFGFA2PT · pith_short_16: BCPLTFGFA2PTFDS6 · pith_short_8: BCPLTFGF

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/BCPLTFGFA2PTFDS6VZ25C6W5KB \
  | 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: 089eb994c5069f328e5eae75d17add50785179d0c45cdd4e6acd173f91178951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b90f31933c54af2a9e4f42ea0430260e33ce3cd09760a23b560086af554d167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-28T19:18:21Z",
    "title_canon_sha256": "d24e420b0afccc997d492502fb8410ff053dba52ca1fdcb51640a711e966a569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5753",
    "kind": "arxiv",
    "version": 2
  }
}