Pith Number

pith:Q7BGRB5R

pith:2015:Q7BGRB5RHX2ENSHSWHY2KUNASU

not attested not anchored not stored refs pending

Two-dimensional volume-frozen percolation: exceptional scales

Jacob van den Berg, Pierre Nolin

arxiv:1501.05011 v1 · 2015-01-20 · 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{Q7BGRB5RHX2ENSHSWHY2KUNASU}

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	2026-05-18T02:29:00.926877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c26887b13df446c8f2b1f1a551a0952c6b2e268129bbe1dfdc244717a4c58e

Aliases

arxiv: 1501.05011 · arxiv_version: 1501.05011v1 · doi: 10.48550/arxiv.1501.05011 · pith_short_12: Q7BGRB5RHX2E · pith_short_16: Q7BGRB5RHX2ENSHS · pith_short_8: Q7BGRB5R

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/Q7BGRB5RHX2ENSHSWHY2KUNASU \
  | 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: 87c26887b13df446c8f2b1f1a551a0952c6b2e268129bbe1dfdc244717a4c58e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8e438f90083082dfa854f11cdc61e04eff9c5fc006dce4191f38a1fdfc8cd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-20T23:03:37Z",
    "title_canon_sha256": "a80213da9064126a90d2c5e75a8c5e013888f776f099d8b50538f664d56bfd47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05011",
    "kind": "arxiv",
    "version": 1
  }
}