Pith Number

pith:SDKPM4LQ

pith:2015:SDKPM4LQMYVVDWIWRF5LK5TTVF

not attested not anchored not stored refs pending

Book review: From Newton to Boltzmann: Hard Spheres and Short-range Potentials, by Isabelle Gallagher, Laure Saint-Raymond and Benjamin Texier

Herbert Spohn, Sergio Simonella

arxiv:1501.07021 v1 · 2015-01-28 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDKPM4LQMYVVDWIWRF5LK5TTVF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:56:46.877181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d4f67170662b51d916897ab57673a9630365280e2576d9e1d09d860d9760a3

Aliases

arxiv: 1501.07021 · arxiv_version: 1501.07021v1 · doi: 10.48550/arxiv.1501.07021 · pith_short_12: SDKPM4LQMYVV · pith_short_16: SDKPM4LQMYVVDWIW · pith_short_8: SDKPM4LQ

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/SDKPM4LQMYVVDWIWRF5LK5TTVF \
  | 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: 90d4f67170662b51d916897ab57673a9630365280e2576d9e1d09d860d9760a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51611b8b1f0fd2288be5843ee379873e14269b8df8b5bb759adf6c857ad64919",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-28T08:12:05Z",
    "title_canon_sha256": "119a23639bbebd74d5c4e4a4e5bb0604881c74e1cfe16881f851523b11b4778d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07021",
    "kind": "arxiv",
    "version": 1
  }
}