pith. sign in
Pith Number

pith:5L5AZ4FO

pith:2010:5L5AZ4FOX2GSEL5KN5RMQ6GFRO
not attested not anchored not stored refs pending

Busemann functions and the speed of a second class particle in the rarefaction fan

Eric Cator, Leandro P. R. Pimentel

arxiv:1008.1812 v1 · 2010-08-10 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5L5AZ4FOX2GSEL5KN5RMQ6GFRO}

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 2026-05-18T04:42:22.910236Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eafa0cf0aebe8d222faa6f62c878c58b83f190d77897a733a20b67cc5ccbaa36

Aliases

arxiv: 1008.1812 · arxiv_version: 1008.1812v1 · doi: 10.48550/arxiv.1008.1812 · pith_short_12: 5L5AZ4FOX2GS · pith_short_16: 5L5AZ4FOX2GSEL5K · pith_short_8: 5L5AZ4FO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5L5AZ4FOX2GSEL5KN5RMQ6GFRO \
  | 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: eafa0cf0aebe8d222faa6f62c878c58b83f190d77897a733a20b67cc5ccbaa36
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "08b18f275d33ca073de09a041d636d0b8c87b15bda779c83a6f72fbf2867a680",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-10T22:39:13Z",
    "title_canon_sha256": "e2583107589b1f1bbd659b082031c9e238db2857bbef5d21e3f405ec1d6231c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1812",
    "kind": "arxiv",
    "version": 1
  }
}