Pith Number

pith:7JPB5L5U

pith:2012:7JPB5L5UDEBYYZDCXFB6AQAU6P

not attested not anchored not stored refs pending

Inhomogenous random zero sets

Jeremiah Buckley, Joaquim Ortega-Cerd\`a, Xavier Massaneda

arxiv:1212.5548 v1 · 2012-12-21 · math.CV · 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{7JPB5L5UDEBYYZDCXFB6AQAU6P}

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	2026-05-18T02:38:30.028917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5e1eafb419038c6462b943e04014f3f304d5218172f99ad45809c7171fa0c1

Aliases

arxiv: 1212.5548 · arxiv_version: 1212.5548v1 · doi: 10.48550/arxiv.1212.5548 · pith_short_12: 7JPB5L5UDEBY · pith_short_16: 7JPB5L5UDEBYYZDC · pith_short_8: 7JPB5L5U

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/7JPB5L5UDEBYYZDCXFB6AQAU6P \
  | 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: fa5e1eafb419038c6462b943e04014f3f304d5218172f99ad45809c7171fa0c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273e403fbee7f1f48560ad16291ce9af0ea293b5c09321d5085f5c6e6a9f4425",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-21T18:42:16Z",
    "title_canon_sha256": "4e317f4d84de7b9b4e5ce201d41b1bc2abb68cb94036591420b192c5a33232be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5548",
    "kind": "arxiv",
    "version": 1
  }
}