Pith Number

pith:G2ZHJH5G

pith:2013:G2ZHJH5GT3YTYQHVCMF52SSERX

not attested not anchored not stored refs pending

Fluctuation theory for upwards skip-free L\'evy chains

Matija Vidmar

arxiv:1309.5328 v3 · 2013-09-20 · 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{G2ZHJH5GT3YTYQHVCMF52SSERX}

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	2026-05-18T02:07:32.159971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b2749fa69ef13c40f5130bdd4a448de19bc13903cb7fe134d1400f2cecffb1

Aliases

arxiv: 1309.5328 · arxiv_version: 1309.5328v3 · doi: 10.48550/arxiv.1309.5328 · pith_short_12: G2ZHJH5GT3YT · pith_short_16: G2ZHJH5GT3YTYQHV · pith_short_8: G2ZHJH5G

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/G2ZHJH5GT3YTYQHVCMF52SSERX \
  | 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: 36b2749fa69ef13c40f5130bdd4a448de19bc13903cb7fe134d1400f2cecffb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19d51cb01a755d1a06c87e1ac43d8a87b58fbfe72b25f0473cd9c556d442959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-20T17:13:23Z",
    "title_canon_sha256": "08ad4cba9f9fb80a5071f3480096c3866187c4c86911c4abd932dbdbe4626d0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5328",
    "kind": "arxiv",
    "version": 3
  }
}