Pith Number

pith:WWKKV33H

pith:2013:WWKKV33HHTE3MWMS4QXS2O63AQ

not attested not anchored not stored refs pending

A Generalized Ito Formula

Ji Li, Kenneth L. Kuttler

arxiv:1302.1142 v1 · 2013-02-05 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWKKV33HHTE3MWMS4QXS2O63AQ}

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	2026-05-18T03:34:26.076646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b594aaef673cc9b65992e42f2d3bdb040f46131f4028aa10b4733ca6544cb707

Aliases

arxiv: 1302.1142 · arxiv_version: 1302.1142v1 · doi: 10.48550/arxiv.1302.1142 · pith_short_12: WWKKV33HHTE3 · pith_short_16: WWKKV33HHTE3MWMS · pith_short_8: WWKKV33H

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/WWKKV33HHTE3MWMS4QXS2O63AQ \
  | 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: b594aaef673cc9b65992e42f2d3bdb040f46131f4028aa10b4733ca6544cb707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721e0f39152a0b14d3659c4a6c3d523f0e4fea25514d559abeed49ac2fecdcc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-05T18:13:58Z",
    "title_canon_sha256": "31e9c51186d33a3031ee6e0f51e5b54da037821f87aa6dc8dc815700a382aeb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1142",
    "kind": "arxiv",
    "version": 1
  }
}