Pith Number

pith:O5ZZ5KBJ

pith:2011:O5ZZ5KBJ2HCMOAC27AJ7OIV3CQ

not attested not anchored not stored refs pending

Phase transition for the speed of the biased random walk on the supercritical percolation cluster

Alan Hammond, Alexander Fribergh

arxiv:1103.1371 v4 · 2011-03-07 · 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{O5ZZ5KBJ2HCMOAC27AJ7OIV3CQ}

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	2026-05-18T03:10:14.781049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77739ea829d1c4c7005af813f722bb141b33cd1f2030850184bcb88bc4ac69f8

Aliases

arxiv: 1103.1371 · arxiv_version: 1103.1371v4 · doi: 10.48550/arxiv.1103.1371 · pith_short_12: O5ZZ5KBJ2HCM · pith_short_16: O5ZZ5KBJ2HCMOAC2 · pith_short_8: O5ZZ5KBJ

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/O5ZZ5KBJ2HCMOAC27AJ7OIV3CQ \
  | 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: 77739ea829d1c4c7005af813f722bb141b33cd1f2030850184bcb88bc4ac69f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab7505708f3a16664ae495162c8639e812edcc267372d5d97ca87ebcb0be0b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-07T20:40:28Z",
    "title_canon_sha256": "0c7c3363ae0d76a3b251eed36e3fd728595548a4e25231070c1eee760ecd1738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1371",
    "kind": "arxiv",
    "version": 4
  }
}