Pith Number

pith:QKMRHBQI

pith:2015:QKMRHBQI4NSZIF4QYV3IKCWORL

not attested not anchored not stored refs pending

Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters

Demeter Kiss, Jacob van den Berg, Pierre Nolin

arxiv:1512.05335 v2 · 2015-12-16 · 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{QKMRHBQI4NSZIF4QYV3IKCWORL}

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	2026-05-18T01:15:14.463449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8299138608e365941790c576850ace8ad70ae3d2be0f3ea5f7d323a81892d27e

Aliases

arxiv: 1512.05335 · arxiv_version: 1512.05335v2 · doi: 10.48550/arxiv.1512.05335 · pith_short_12: QKMRHBQI4NSZ · pith_short_16: QKMRHBQI4NSZIF4Q · pith_short_8: QKMRHBQI

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/QKMRHBQI4NSZIF4QYV3IKCWORL \
  | 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: 8299138608e365941790c576850ace8ad70ae3d2be0f3ea5f7d323a81892d27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9544e64ae4ac39ec891f3e9dbd3f161a2feb79cd920fe0f199683aa7973fe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-16T20:58:42Z",
    "title_canon_sha256": "ebc8e3ae53f921a326a68bc1b939a7665fe2d138487388e9ecf403eff77268a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05335",
    "kind": "arxiv",
    "version": 2
  }
}