Pith Number

pith:U2ILEC7X

pith:2012:U2ILEC7XJ2YVMBUQVA5COQUOD6

not attested not anchored not stored refs pending

The Wronskian parameterizes the class of diffusions with a given distribution at a random time

Martin Klimmek

arxiv:1206.0482 v3 · 2012-06-03 · math.PR · q-fin.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{U2ILEC7XJ2YVMBUQVA5COQUOD6}

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	2026-05-18T03:52:27.821232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a690b20bf74eb1560690a83a27428e1f82ab996c08270fd98de409585eb1fcb8

Aliases

arxiv: 1206.0482 · arxiv_version: 1206.0482v3 · doi: 10.48550/arxiv.1206.0482 · pith_short_12: U2ILEC7XJ2YV · pith_short_16: U2ILEC7XJ2YVMBUQ · pith_short_8: U2ILEC7X

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/U2ILEC7XJ2YVMBUQVA5COQUOD6 \
  | 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: a690b20bf74eb1560690a83a27428e1f82ab996c08270fd98de409585eb1fcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31a6e6d508d40e6422582e45f841ad46e982ceb6c297420ae3faf651e263dea9",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-03T19:34:53Z",
    "title_canon_sha256": "b9a8bac572dd4a9d68d6564f5f98f3d841f3295477286e0a54c109cce66030f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0482",
    "kind": "arxiv",
    "version": 3
  }
}