Pith Number

pith:EXD7H667

pith:2016:EXD7H667R4SJBKDOYG7YXF23KF

not attested not anchored not stored refs pending

Derivation of the Boltzmann equation: hard spheres, short-range potentials and beyond

Chiara Saffirio

arxiv:1602.05355 v1 · 2016-02-17 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXD7H667R4SJBKDOYG7YXF23KF}

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	2026-05-18T01:20:28.467573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c7f3fbdf8f2490a86ec1bf8b975b5143009d529e023e00986f8fcc3db121b2

Aliases

arxiv: 1602.05355 · arxiv_version: 1602.05355v1 · doi: 10.48550/arxiv.1602.05355 · pith_short_12: EXD7H667R4SJ · pith_short_16: EXD7H667R4SJBKDO · pith_short_8: EXD7H667

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/EXD7H667R4SJBKDOYG7YXF23KF \
  | 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: 25c7f3fbdf8f2490a86ec1bf8b975b5143009d529e023e00986f8fcc3db121b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d703a66fcc5ceed7683cd96b56f3f37dee7fb43b6d6e66641722ed66a7083a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-17T10:06:35Z",
    "title_canon_sha256": "3f550ff651386ea5c7fd26d8ca49d1174daa5bd365870a07575fd4a0895923c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05355",
    "kind": "arxiv",
    "version": 1
  }
}