Pith Number

pith:J6B4UMXE

pith:2012:J6B4UMXEFPVZ7SKZAJRV7HLJMF

not attested not anchored not stored refs pending

Short paths for first passage percolation on the complete graph

Francesca R. Nardi, Jesse Goodman, Maren Eckhoff, Remco van der Hofstad

arxiv:1211.4569 v1 · 2012-11-19 · 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{J6B4UMXEFPVZ7SKZAJRV7HLJMF}

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	2026-05-18T01:53:02.808951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f83ca32e42beb9fc95902635f9d69615436ceee7d3d8c81244e979859dd4e5f

Aliases

arxiv: 1211.4569 · arxiv_version: 1211.4569v1 · doi: 10.48550/arxiv.1211.4569 · pith_short_12: J6B4UMXEFPVZ · pith_short_16: J6B4UMXEFPVZ7SKZ · pith_short_8: J6B4UMXE

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/J6B4UMXEFPVZ7SKZAJRV7HLJMF \
  | 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: 4f83ca32e42beb9fc95902635f9d69615436ceee7d3d8c81244e979859dd4e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d880b3e3b871e304090fd1d2faf3ad40880e237f13782a7f185008724976c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-19T20:58:42Z",
    "title_canon_sha256": "9f2525ab2af24f92e12821f83a4002048bd2e426f48d234ca34e1ced03913bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4569",
    "kind": "arxiv",
    "version": 1
  }
}