Pith Number

pith:NHO4DTI2

pith:2010:NHO4DTI2XWPALZ6NHIWM2VCIC5

not attested not anchored not stored refs pending

Time Dependent Tempered Generalized Functions and Ito's Formula

C. Olivera, P. Catuogno

arxiv:1007.0564 v2 · 2010-07-04 · math.FA · 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{NHO4DTI2XWPALZ6NHIWM2VCIC5}

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	2026-05-18T04:09:25.412850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ddc1cd1abd9e05e7cd3a2ccd5448174e38362f320346c2c19e3df1e3f18bc5

Aliases

arxiv: 1007.0564 · arxiv_version: 1007.0564v2 · doi: 10.48550/arxiv.1007.0564 · pith_short_12: NHO4DTI2XWPA · pith_short_16: NHO4DTI2XWPALZ6N · pith_short_8: NHO4DTI2

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/NHO4DTI2XWPALZ6NHIWM2VCIC5 \
  | 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: 69ddc1cd1abd9e05e7cd3a2ccd5448174e38362f320346c2c19e3df1e3f18bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427ce40b23b4180dfe05e229ca2ffc42db82086b6a47e15c042b30aceaca7391",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-04T15:40:14Z",
    "title_canon_sha256": "829946b456b02c7fccf0302b4aad8f6cf66f97872a9a550e853841402d3dcc03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0564",
    "kind": "arxiv",
    "version": 2
  }
}