Pith Number

pith:HPHVYQ45

pith:2013:HPHVYQ45ACZTJB77GYIPZSNTHU

not attested not anchored not stored refs pending

Characterization of the convergence in total variation and extension of the Fourth Moment Theorem to invariant measures of diffusions

Ciprian Tudor (LPP), Seiichiro Kusuoka

arxiv:1310.3785 v2 · 2013-10-14 · 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{HPHVYQ45ACZTJB77GYIPZSNTHU}

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	2026-05-18T01:27:08.326609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bcf5c439d00b33487ff3610fcc9b33d05ab6ce810b94119739a7d4ff3a04392

Aliases

arxiv: 1310.3785 · arxiv_version: 1310.3785v2 · doi: 10.48550/arxiv.1310.3785 · pith_short_12: HPHVYQ45ACZT · pith_short_16: HPHVYQ45ACZTJB77 · pith_short_8: HPHVYQ45

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/HPHVYQ45ACZTJB77GYIPZSNTHU \
  | 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: 3bcf5c439d00b33487ff3610fcc9b33d05ab6ce810b94119739a7d4ff3a04392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616ceb4c2b586469f1cf320013f16c7560780c042cbc2d74ceee3003839fc84b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-14T18:51:47Z",
    "title_canon_sha256": "7dec8769ffb45484348bfdca0c3d20b9b16ada74f03cc3000c3ec3bf35866224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3785",
    "kind": "arxiv",
    "version": 2
  }
}