Pith Number

pith:BBN447D3

pith:2015:BBN447D34KCKDPNQGDZ6QT65CI

not attested not anchored not stored refs pending

Path-dependent It\^o formulas under finite $(p,q)$-variation regularity

Alberto Ohashi, Evelina Shamarova, Nikolai N. Shamarov

arxiv:1505.00879 v2 · 2015-05-05 · 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{BBN447D34KCKDPNQGDZ6QT65CI}

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	2026-05-18T02:07:26.199832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085bce7c7be284a1bdb030f3e84fdd12074d354f7e5e056a56ce8077adf6f63c

Aliases

arxiv: 1505.00879 · arxiv_version: 1505.00879v2 · doi: 10.48550/arxiv.1505.00879 · pith_short_12: BBN447D34KCK · pith_short_16: BBN447D34KCKDPNQ · pith_short_8: BBN447D3

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/BBN447D34KCKDPNQGDZ6QT65CI \
  | 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: 085bce7c7be284a1bdb030f3e84fdd12074d354f7e5e056a56ce8077adf6f63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bdc8a9045834279195d462cb2ece1dd456a4617bf0682724ff1e6072dc0340",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-05T04:33:17Z",
    "title_canon_sha256": "4f2064f69c8c8f80f42df5d7bd7dec977dbdf6e8e9684de95e84429ff83faab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00879",
    "kind": "arxiv",
    "version": 2
  }
}