Pith Number

pith:MQ2OTG3C

pith:2013:MQ2OTG3CCLLZZDPQPUH64IXEYQ

not attested not anchored not stored refs pending

A new proof of an Engelbert-Schmidt type zero-one law for time-homogeneous diffusions

Zhenyu Cui

arxiv:1312.2149 v2 · 2013-12-07 · 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{MQ2OTG3CCLLZZDPQPUH64IXEYQ}

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	2026-05-18T02:56:58.226101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6434e99b6212d79c8df07d0fee22e4c40d515ea55ac79fa46b7cc36613a019b2

Aliases

arxiv: 1312.2149 · arxiv_version: 1312.2149v2 · doi: 10.48550/arxiv.1312.2149 · pith_short_12: MQ2OTG3CCLLZ · pith_short_16: MQ2OTG3CCLLZZDPQ · pith_short_8: MQ2OTG3C

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/MQ2OTG3CCLLZZDPQPUH64IXEYQ \
  | 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: 6434e99b6212d79c8df07d0fee22e4c40d515ea55ac79fa46b7cc36613a019b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3420e6df1f429b4411a31875d9039f3d798d4a05edaa9b62b088c52eb00a81e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-07T23:05:29Z",
    "title_canon_sha256": "c40fcc9aff1d88db14e9871cdb7cae95ae027e5a819aebb175cf1e70b1ca3de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2149",
    "kind": "arxiv",
    "version": 2
  }
}