Pith Number

pith:KWU2YJ7D

pith:2017:KWU2YJ7DXCUEYNWRIPJDCYMBVL

not attested not anchored not stored refs pending

Integration by parts and quasi-invariance for the horizontal Wiener measure on a foliated compact manifold

Fabrice Baudoin, Maria Gordina, Qi Feng

arxiv:1707.03135 v3 · 2017-07-11 · math.PR · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWU2YJ7DXCUEYNWRIPJDCYMBVL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:43:56.913148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a9ac27e3b8a84c36d143d2316181aacee5026f67520de0f01f6219eddc42d6

Aliases

arxiv: 1707.03135 · arxiv_version: 1707.03135v3 · doi: 10.48550/arxiv.1707.03135 · pith_short_12: KWU2YJ7DXCUE · pith_short_16: KWU2YJ7DXCUEYNWR · pith_short_8: KWU2YJ7D

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/KWU2YJ7DXCUEYNWRIPJDCYMBVL \
  | 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: 55a9ac27e3b8a84c36d143d2316181aacee5026f67520de0f01f6219eddc42d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba12948bd2de17ab8f2d5d72ef3944f909b0e4d7d3d5e1f86126aeb56fa8ad43",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-11T05:27:08Z",
    "title_canon_sha256": "54c688ed341ffb416806693e39b5010e145c33289ee394b9bfee6b002d746d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03135",
    "kind": "arxiv",
    "version": 3
  }
}