Pith Number

pith:MIBZMGML

pith:2012:MIBZMGML57IIPT3TDZKEY56AOV

not attested not anchored not stored refs pending

New methods to bound the critical probability in fractal percolation

Henk Don

arxiv:1210.4150 v2 · 2012-10-15 · 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{MIBZMGML57IIPT3TDZKEY56AOV}

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	2026-05-18T01:04:06.124418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

620396198befd087cf731e544c77c0755b607a7014b38eeb340032875043f4b6

Aliases

arxiv: 1210.4150 · arxiv_version: 1210.4150v2 · doi: 10.48550/arxiv.1210.4150 · pith_short_12: MIBZMGML57II · pith_short_16: MIBZMGML57IIPT3T · pith_short_8: MIBZMGML

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/MIBZMGML57IIPT3TDZKEY56AOV \
  | 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: 620396198befd087cf731e544c77c0755b607a7014b38eeb340032875043f4b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d8e4fd42e8ce77830caa546cae6da0bc346a6cfa85d5a1178a6b0cce1257a29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-15T19:57:40Z",
    "title_canon_sha256": "91093acfe356ba6ef0aeb3ee6fa5747f948264bc34d5d091c2ac11e8792e1009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4150",
    "kind": "arxiv",
    "version": 2
  }
}