Pith Number

pith:VYMFXXH5

pith:2012:VYMFXXH525KOV3KVMENHTRAFOY

not attested not anchored not stored refs pending

Rice Formula for processes with jumps and applications

Ernesto Mordecki, Federico Dalmao

arxiv:1212.5938 v2 · 2012-12-24 · 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{VYMFXXH525KOV3KVMENHTRAFOY}

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	2026-05-18T02:27:51.363449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae185bdcfdd754eaed55611a79c405762d19cdc7906728b5cf5f2d4e0c604ea6

Aliases

arxiv: 1212.5938 · arxiv_version: 1212.5938v2 · doi: 10.48550/arxiv.1212.5938 · pith_short_12: VYMFXXH525KO · pith_short_16: VYMFXXH525KOV3KV · pith_short_8: VYMFXXH5

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/VYMFXXH525KOV3KVMENHTRAFOY \
  | 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: ae185bdcfdd754eaed55611a79c405762d19cdc7906728b5cf5f2d4e0c604ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a6549a19c3405405381405fd6488214d48459e7f4cd25dbf2b138aa14dfd03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-24T17:06:42Z",
    "title_canon_sha256": "cbfc47e70fe6edbc63f95de3edbcae06a01eaf1e657ec7906f67e9a2110196e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5938",
    "kind": "arxiv",
    "version": 2
  }
}