Pith Number

pith:3IIXFAXJ

pith:2013:3IIXFAXJZRUZT5NCDTAHKYS5F7

not attested not anchored not stored refs pending

Point-to-point distance in first passage percolation on (tree) x Z

Itai Benjamini, Pascal Maillard

arxiv:1310.4018 v2 · 2013-10-15 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IIXFAXJZRUZT5NCDTAHKYS5F7}

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	2026-05-18T00:12:57.355156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da117282e9cc6999f5a21cc075625d2ff0440854827eb54d289f5aa48a8d701d

Aliases

arxiv: 1310.4018 · arxiv_version: 1310.4018v2 · doi: 10.48550/arxiv.1310.4018 · pith_short_12: 3IIXFAXJZRUZ · pith_short_16: 3IIXFAXJZRUZT5NC · pith_short_8: 3IIXFAXJ

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/3IIXFAXJZRUZT5NCDTAHKYS5F7 \
  | 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: da117282e9cc6999f5a21cc075625d2ff0440854827eb54d289f5aa48a8d701d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3f071ac3a12ba5117d211a68d23bd5ba8fe9db7b9dd6e0bde3f94fda55458d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-15T11:59:06Z",
    "title_canon_sha256": "7d1bbcb0392b66bb17f6d51d2e01ca2f9865e641f9a0f5a0f59f6122361e72c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4018",
    "kind": "arxiv",
    "version": 2
  }
}