Pith Number

pith:7ZTY6BQM

pith:2011:7ZTY6BQMPLOFGWNJSVI5ANQS5K

not attested not anchored not stored refs pending

Regularity conditions in the realisability problem with applications to point processes and random closed sets

Ilya Molchanov, Raphael Lachieze-Rey

arxiv:1102.1950 v5 · 2011-02-09 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZTY6BQMPLOFGWNJSVI5ANQS5K}

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	2026-05-18T02:29:16.256678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe678f060c7adc5359a99551d03612ea9868400a772abc0e7c2f88b7f2a6b20f

Aliases

arxiv: 1102.1950 · arxiv_version: 1102.1950v5 · doi: 10.48550/arxiv.1102.1950 · pith_short_12: 7ZTY6BQMPLOF · pith_short_16: 7ZTY6BQMPLOFGWNJ · pith_short_8: 7ZTY6BQM

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/7ZTY6BQMPLOFGWNJSVI5ANQS5K \
  | 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: fe678f060c7adc5359a99551d03612ea9868400a772abc0e7c2f88b7f2a6b20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b9e46c5747033b78b91a7e0c758720b24ff86f948c569899cb469901d03a61",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-09T19:38:40Z",
    "title_canon_sha256": "141bd3c193b2439d1ee40bace8f91d5a621aef4507351c7e7300021b5f63cc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1950",
    "kind": "arxiv",
    "version": 5
  }
}