Pith Number

pith:KWAKWGMN

pith:2010:KWAKWGMNGIVIHOITX33MZM3XUC

not attested not anchored not stored refs pending

Foliated stochastic calculus: Harmonic measures

Diego S. Ledesma, Paulo R. Ruffino, Pedro J. Catuogno

arxiv:1012.4450 v3 · 2010-12-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWAKWGMNGIVIHOITX33MZM3XUC}

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	2026-05-18T02:56:04.178131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5580ab198d322a83b913bef6ccb377a0ac72be0cc0b1c6fbe7aac75d803a74d1

Aliases

arxiv: 1012.4450 · arxiv_version: 1012.4450v3 · doi: 10.48550/arxiv.1012.4450 · pith_short_12: KWAKWGMNGIVI · pith_short_16: KWAKWGMNGIVIHOIT · pith_short_8: KWAKWGMN

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/KWAKWGMNGIVIHOITX33MZM3XUC \
  | 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: 5580ab198d322a83b913bef6ccb377a0ac72be0cc0b1c6fbe7aac75d803a74d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8629db0c329f0d9b87f9aa6d798302d85e37cc6c617b61ac1d603e1f28f351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-20T19:56:50Z",
    "title_canon_sha256": "d3ba956bd4b1a4ed5dfd039e0519dc980d46157d696d9a8dd0e5e031d8abb13f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4450",
    "kind": "arxiv",
    "version": 3
  }
}