Pith Number

pith:GTFDJM3X

pith:2012:GTFDJM3XREU7YPSZAUNMJQJTYM

not attested not anchored not stored refs pending

It\^o calculus and jump diffusions for $G$-L\'evy processes

Krzysztof Paczka

arxiv:1211.2973 v3 · 2012-11-13 · 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{GTFDJM3XREU7YPSZAUNMJQJTYM}

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	2026-05-18T02:38:17.532589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ca34b3778929fc3e59051ac4c133c30119a3f9fd07ddcecbe4758747445faa

Aliases

arxiv: 1211.2973 · arxiv_version: 1211.2973v3 · doi: 10.48550/arxiv.1211.2973 · pith_short_12: GTFDJM3XREU7 · pith_short_16: GTFDJM3XREU7YPSZ · pith_short_8: GTFDJM3X

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/GTFDJM3XREU7YPSZAUNMJQJTYM \
  | 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: 34ca34b3778929fc3e59051ac4c133c30119a3f9fd07ddcecbe4758747445faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b3548037e3c307b806ce376d81c537518f213db77ab73d39ed5a51299a530e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-13T12:46:41Z",
    "title_canon_sha256": "02e51ca759952d7ca0d7808edb103f85537d2d2ac7b30676fb4458852af52ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2973",
    "kind": "arxiv",
    "version": 3
  }
}