Pith Number

pith:I2KJXE2J

pith:2016:I2KJXE2JKF254KU7XHEYPF7VS5

not attested not anchored not stored refs pending

Construction of a surface integral under local Malliavin assumption and integration by parts formulae

Giuseppe Da Prato, Luciano Tubaro, Stefano Bonaccorsi

arxiv:1608.03766 v1 · 2016-08-12 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2KJXE2JKF254KU7XHEYPF7VS5}

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	2026-05-17T23:57:33.128464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46949b93495175de2a9fb9c98797f59749ea0af1fd54d6dbe6c88e2ad25d52a0

Aliases

arxiv: 1608.03766 · arxiv_version: 1608.03766v1 · doi: 10.48550/arxiv.1608.03766 · pith_short_12: I2KJXE2JKF25 · pith_short_16: I2KJXE2JKF254KU7 · pith_short_8: I2KJXE2J

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/I2KJXE2JKF254KU7XHEYPF7VS5 \
  | 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: 46949b93495175de2a9fb9c98797f59749ea0af1fd54d6dbe6c88e2ad25d52a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2183bb30035c5d536779ffdd0a5856d546394a6733af5ee316df15d4c29232",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-12T12:08:21Z",
    "title_canon_sha256": "444df325fcd97698746fd6e450a4676637cc47026df3621b8347c63450d960cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03766",
    "kind": "arxiv",
    "version": 1
  }
}