Pith Number

pith:WGCNUCWO

pith:2012:WGCNUCWOUTIBQZKFYE4KGHXYRK

not attested not anchored not stored refs pending

Busemann functions and infinite geodesics in two-dimensional first-passage percolation

Jack Hanson, Michael Damron

arxiv:1209.3036 v1 · 2012-09-13 · 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{WGCNUCWOUTIBQZKFYE4KGHXYRK}

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	2026-05-18T03:00:01.178350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b184da0acea4d0186545c138a31ef88a8cafd986c400af0dcdf606c80217d8d0

Aliases

arxiv: 1209.3036 · arxiv_version: 1209.3036v1 · doi: 10.48550/arxiv.1209.3036 · pith_short_12: WGCNUCWOUTIB · pith_short_16: WGCNUCWOUTIBQZKF · pith_short_8: WGCNUCWO

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/WGCNUCWOUTIBQZKFYE4KGHXYRK \
  | 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: b184da0acea4d0186545c138a31ef88a8cafd986c400af0dcdf606c80217d8d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d651a4627c17d706d6c4ed78e66d332d4b6e4678c165e90942b8a1aa5211730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-13T20:57:38Z",
    "title_canon_sha256": "96e5b5eb70515632436252f60662f54d0b47e085d1bf58408236257b65e315af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3036",
    "kind": "arxiv",
    "version": 1
  }
}