Pith Number

pith:F3QAUW4A

pith:2016:F3QAUW4A63522JYDNIO26JVIZT

not attested not anchored not stored refs pending

Distributional It\^o's Formula and Regularization of Generalized Wiener Functionals

Takafumi Amaba, Yoshihiro Ryu

arxiv:1607.03596 v3 · 2016-07-13 · 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{F3QAUW4A63522JYDNIO26JVIZT}

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	2026-05-18T00:05:39.958970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee00a5b80f6fbad27036a1daf26a8ccefd33d92a602e03a2301728736a8ec9b

Aliases

arxiv: 1607.03596 · arxiv_version: 1607.03596v3 · doi: 10.48550/arxiv.1607.03596 · pith_short_12: F3QAUW4A6352 · pith_short_16: F3QAUW4A63522JYD · pith_short_8: F3QAUW4A

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/F3QAUW4A63522JYDNIO26JVIZT \
  | 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: 2ee00a5b80f6fbad27036a1daf26a8ccefd33d92a602e03a2301728736a8ec9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4267ed4ec9a4126a5b28f2a61352192f76d2cfab4a45303ecde459221d05594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-13T05:26:16Z",
    "title_canon_sha256": "441c43a3ce2b4d866675d71b36cedfa92532987c2e2c0f81af421c3ae90b66d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03596",
    "kind": "arxiv",
    "version": 3
  }
}