Pith Number

pith:ZFIAL4UX

pith:2001:ZFIAL4UXGYYWLPQCDC2TVVHYN2

not attested not anchored not stored refs pending

Filtered stochastic calculus

Romuald Lenczewski

arxiv:math/0103033 v1 · 2001-03-06 · math.QA · 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{ZFIAL4UXGYYWLPQCDC2TVVHYN2}

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	2026-05-18T02:46:38.147386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95005f297363165be0218b53ad4f86ebe51410e5b69a7bd52abb8f4a1365287

Aliases

arxiv: math/0103033 · arxiv_version: math/0103033v1 · doi: 10.48550/arxiv.math/0103033 · pith_short_12: ZFIAL4UXGYYW · pith_short_16: ZFIAL4UXGYYWLPQC · pith_short_8: ZFIAL4UX

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/ZFIAL4UXGYYWLPQCDC2TVVHYN2 \
  | 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: c95005f297363165be0218b53ad4f86ebe51410e5b69a7bd52abb8f4a1365287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2942fa3d032cbc752b4c3ba9b472c5ef86b74c01c8d177ea1b27c4fc821495cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-03-06T10:31:16Z",
    "title_canon_sha256": "4f85ddf741f756ab46508130ff89907f34c4e104511e32f37f36fd35cf8fc155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103033",
    "kind": "arxiv",
    "version": 1
  }
}