Pith Number

pith:QNXS4O6R

pith:2015:QNXS4O6RAQFOFYWIVSTRZVJNK6

not attested not anchored not stored refs pending

50 years of first passage percolation

Antonio Auffinger, Jack Hanson, Michael Damron

arxiv:1511.03262 v2 · 2015-11-10 · 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{QNXS4O6RAQFOFYWIVSTRZVJNK6}

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	2026-05-18T00:18:57.228149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836f2e3bd1040ae2e2c8aca71cd52d579df98c6c466f6ea172b7bdd7dca33d4a

Aliases

arxiv: 1511.03262 · arxiv_version: 1511.03262v2 · doi: 10.48550/arxiv.1511.03262 · pith_short_12: QNXS4O6RAQFO · pith_short_16: QNXS4O6RAQFOFYWI · pith_short_8: QNXS4O6R

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/QNXS4O6RAQFOFYWIVSTRZVJNK6 \
  | 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: 836f2e3bd1040ae2e2c8aca71cd52d579df98c6c466f6ea172b7bdd7dca33d4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f11373e31b71e33d56d9b8313269844e6b1034e6272d22b37e3cb9c4e6e4d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-10T20:57:09Z",
    "title_canon_sha256": "862016589ac64686760d6eaaffd3c93cc6c47e991f6ae4c6084c62fb279df62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03262",
    "kind": "arxiv",
    "version": 2
  }
}