Pith Number

pith:DO67FGGI

pith:2002:DO67FGGITO3AIV3BGKRYBEC3CQ

not attested not anchored not stored refs pending

First Passage Percolation Has Sublinear Distance Variance

Gil Kalai, Itai Benjamini, Oded Schramm

arxiv:math/0203262 v5 · 2002-03-25 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DO67FGGITO3AIV3BGKRYBEC3CQ}

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	2026-07-04T15:16:40.946189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbdf298c89bb604576132a380905b140ef69775cf213c0d9008dfad7cd2d80c

Aliases

arxiv: math/0203262 · arxiv_version: math/0203262v5 · doi: 10.48550/arxiv.math/0203262 · pith_short_12: DO67FGGITO3A · pith_short_16: DO67FGGITO3AIV3B · pith_short_8: DO67FGGI

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/DO67FGGITO3AIV3BGKRYBEC3CQ \
  | 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: 1bbdf298c89bb604576132a380905b140ef69775cf213c0d9008dfad7cd2d80c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26b26f8615255664405b2e79b72fb3091306ac5aa4e536a87646dd485e7c3af",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-03-25T19:39:29Z",
    "title_canon_sha256": "8d0fb93116ad47293f0cd710d6666f80794962d2fbe3aa9fb41bd341e67d3427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203262",
    "kind": "arxiv",
    "version": 5
  }
}