Pith Number

pith:LMYMMCJ7

pith:2013:LMYMMCJ7GAXYZWGAWCQXHHAVZX

not attested not anchored not stored refs pending

Nonintersecting Brownian motions on the unit circle

Dong Wang, Karl Liechty

arxiv:1312.7390 v5 · 2013-12-28 · math.PR · math-ph · math.CA · 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{LMYMMCJ7GAXYZWGAWCQXHHAVZX}

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	2026-05-18T01:18:04.779670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b30c6093f302f8cd8c0b0a1739c15cdd12641b4220e391b6706c8684c2c6c6b

Aliases

arxiv: 1312.7390 · arxiv_version: 1312.7390v5 · doi: 10.48550/arxiv.1312.7390 · pith_short_12: LMYMMCJ7GAXY · pith_short_16: LMYMMCJ7GAXYZWGA · pith_short_8: LMYMMCJ7

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/LMYMMCJ7GAXYZWGAWCQXHHAVZX \
  | 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: 5b30c6093f302f8cd8c0b0a1739c15cdd12641b4220e391b6706c8684c2c6c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a69791b1e7180c0078e5f099c6febadaab437e9b602253dfb5693e55e005a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-28T04:41:51Z",
    "title_canon_sha256": "00cf202d42852cfeecde50f05a8528c88dbd90c0f7d8254349ee508b3ae6ebb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7390",
    "kind": "arxiv",
    "version": 5
  }
}