Pith Number

pith:LLYGMXRU

pith:2012:LLYGMXRU6JCHCSPHSVXWKY6OYM

not attested not anchored not stored refs pending

Bounds for the probability generating functional of a Gibbs point process

Dominic Schuhmacher, Kaspar Stucki

arxiv:1210.4177 v2 · 2012-10-15 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLYGMXRU6JCHCSPHSVXWKY6OYM}

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	2026-05-18T03:27:52.268566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af0665e34f2447149e7956f6563cec3084b72268d43054026b82aed6d7b041c

Aliases

arxiv: 1210.4177 · arxiv_version: 1210.4177v2 · doi: 10.48550/arxiv.1210.4177 · pith_short_12: LLYGMXRU6JCH · pith_short_16: LLYGMXRU6JCHCSPH · pith_short_8: LLYGMXRU

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/LLYGMXRU6JCHCSPHSVXWKY6OYM \
  | 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: 5af0665e34f2447149e7956f6563cec3084b72268d43054026b82aed6d7b041c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ece222d970067816133af8bd7766f7ba5adb4799665d1a3f6bdd9f6b0a96fd4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-15T20:03:17Z",
    "title_canon_sha256": "4d8e168262fd47c37d54dc053cd1fc35fe688cc7ac994ac6f0f6e240f33a9cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4177",
    "kind": "arxiv",
    "version": 2
  }
}