Pith Number

pith:SX7JHMIT

pith:2009:SX7JHMITZE6H7TJEANG3MJHMRO

not attested not anchored not stored refs pending

Necessary and sufficient conditions for realizability of point processes

Eugene R. Speer, Joel L. Lebowitz, Tobias Kuna

arxiv:0910.1710 v2 · 2009-10-09 · 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{SX7JHMITZE6H7TJEANG3MJHMRO}

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	2026-05-18T04:15:04.753786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fe93b113c93c7fcd24034db624ec8b8e2e12d8eb4e6d075d08e5f24a30f439

Aliases

arxiv: 0910.1710 · arxiv_version: 0910.1710v2 · doi: 10.48550/arxiv.0910.1710 · pith_short_12: SX7JHMITZE6H · pith_short_16: SX7JHMITZE6H7TJE · pith_short_8: SX7JHMIT

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/SX7JHMITZE6H7TJEANG3MJHMRO \
  | 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: 95fe93b113c93c7fcd24034db624ec8b8e2e12d8eb4e6d075d08e5f24a30f439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114f30a0d7dbd9e964a2e93bf0f25374bbcf0e32091695245928298a0d9b5184",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-09T11:09:52Z",
    "title_canon_sha256": "fe0de5d270c34c5939b6ab864d6b4136429ac699bf538d281891f5bf94d25479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1710",
    "kind": "arxiv",
    "version": 2
  }
}