Pith Number

pith:7OO3TNSC

pith:2012:7OO3TNSCZESIL6JDOOOGMSAPK6

not attested not anchored not stored refs pending

Convex curves and a Poisson imitation of lattices

Dmitry Shiryaev, Fedor Petrov, Nick Gravin, Sinai Robins

arxiv:1211.5983 v1 · 2012-11-26 · math.MG · 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{7OO3TNSCZESIL6JDOOOGMSAPK6}

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	2026-05-17T23:53:18.248012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9db9b642c92485f923739c66480f57b3b01911304c15dd0813387363b0b385

Aliases

arxiv: 1211.5983 · arxiv_version: 1211.5983v1 · doi: 10.48550/arxiv.1211.5983 · pith_short_12: 7OO3TNSCZESI · pith_short_16: 7OO3TNSCZESIL6JD · pith_short_8: 7OO3TNSC

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/7OO3TNSCZESIL6JDOOOGMSAPK6 \
  | 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: fb9db9b642c92485f923739c66480f57b3b01911304c15dd0813387363b0b385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e87188b2d04ebf8a56c20cdbfd3e8c8fa6c981193d3f408610a920702a4d508",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-11-26T15:23:43Z",
    "title_canon_sha256": "e96c4836f7dcb8bd129f53f313c322a319f838a8880599834018a1e834520e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5983",
    "kind": "arxiv",
    "version": 1
  }
}