Pith Number

pith:WMRCABTM

pith:2013:WMRCABTMI6WQDAOWM5ITVTDWLT

not attested not anchored not stored refs pending

Duality between coalescence times and exit points in last-passage percolation models

Leandro P. R. Pimentel

arxiv:1307.7769 v2 · 2013-07-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMRCABTMI6WQDAOWM5ITVTDWLT}

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	2026-05-18T01:36:57.193149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32220066c47ad0181d667513acc765ce42fa0c7a6977497ad606dbecbccf909

Aliases

arxiv: 1307.7769 · arxiv_version: 1307.7769v2 · doi: 10.48550/arxiv.1307.7769 · pith_short_12: WMRCABTMI6WQ · pith_short_16: WMRCABTMI6WQDAOW · pith_short_8: WMRCABTM

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/WMRCABTMI6WQDAOWM5ITVTDWLT \
  | 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: b32220066c47ad0181d667513acc765ce42fa0c7a6977497ad606dbecbccf909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcbd5d85a60a1262f030450c2e1b5c797ec4f58e65833ba5324dc2c59203dae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-30T00:36:52Z",
    "title_canon_sha256": "d7d4d326344707c5db40557c706d4a6f1736382a86535c43bd9cc7dedb57bdd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7769",
    "kind": "arxiv",
    "version": 2
  }
}