Pith Number

pith:PFK5MQKV

pith:2014:PFK5MQKV73RRBQBEN7VGBS77TM

not attested not anchored not stored refs pending

A boundary integral formalism for stochastic ray tracing in billiards

David J. Chappell, Gregor Tanner

arxiv:1408.2352 v2 · 2014-08-11 · nlin.CD · math.DS · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFK5MQKV73RRBQBEN7VGBS77TM}

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	2026-05-18T01:42:21.959509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7955d64155fee310c0246fea60cbff9b3d7a899ec8fccd9d989073cf7ec3c828

Aliases

arxiv: 1408.2352 · arxiv_version: 1408.2352v2 · doi: 10.48550/arxiv.1408.2352 · pith_short_12: PFK5MQKV73RR · pith_short_16: PFK5MQKV73RRBQBE · pith_short_8: PFK5MQKV

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/PFK5MQKV73RRBQBEN7VGBS77TM \
  | 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: 7955d64155fee310c0246fea60cbff9b3d7a899ec8fccd9d989073cf7ec3c828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e71393ed8e196811bd97d21675198e6afc71a9ac12247eecb4e5168a14426e",
    "cross_cats_sorted": [
      "math.DS",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2014-08-11T08:50:15Z",
    "title_canon_sha256": "ca4567d9445a779b2af8c53d2346a5ad13fdf8ba96f9290224a3b5b383660e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2352",
    "kind": "arxiv",
    "version": 2
  }
}