Pith Number

pith:COXDIGSN

pith:2017:COXDIGSNNNKOFT3LELUJYZEO4W

not attested not anchored not stored refs pending

The size of the boundary in first-passage percolation

Jack Hanson, Michael Damron, Wai-Kit Lam

arxiv:1709.09613 v1 · 2017-09-27 · 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{COXDIGSNNNKOFT3LELUJYZEO4W}

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	2026-05-18T00:34:11.167109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13ae341a4d6b54e2cf6b22e89c648ee590bedfda6c2212b331aaf48db1244e48

Aliases

arxiv: 1709.09613 · arxiv_version: 1709.09613v1 · doi: 10.48550/arxiv.1709.09613 · pith_short_12: COXDIGSNNNKO · pith_short_16: COXDIGSNNNKOFT3L · pith_short_8: COXDIGSN

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/COXDIGSNNNKOFT3LELUJYZEO4W \
  | 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: 13ae341a4d6b54e2cf6b22e89c648ee590bedfda6c2212b331aaf48db1244e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412b31394371df084c59c7f9358ca04b2b519c1f3bf4e2d40e2ae8006a59a24f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-27T16:40:22Z",
    "title_canon_sha256": "2972d789d3dede8bcd2148da2752540e215021a6c449ff65a71ac4471c7efcc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09613",
    "kind": "arxiv",
    "version": 1
  }
}