Pith Number

pith:NNITINAN

pith:2013:NNITINANF4XZLUYS3GACT77XLO

not attested not anchored not stored refs pending

Transport-entropy inequalities and deviation estimates for stochastic approximation schemes

Max Fathi (LPMA), Noufel Frikha (LPMA)

arxiv:1301.7740 v1 · 2013-01-31 · 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{NNITINANF4XZLUYS3GACT77XLO}

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	2026-05-18T03:34:48.768776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5134340d2f2f95d312d98029fff75b86c9a11aa9598706412e8f0f9bf832b9

Aliases

arxiv: 1301.7740 · arxiv_version: 1301.7740v1 · doi: 10.48550/arxiv.1301.7740 · pith_short_12: NNITINANF4XZ · pith_short_16: NNITINANF4XZLUYS · pith_short_8: NNITINAN

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/NNITINANF4XZLUYS3GACT77XLO \
  | 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: 6b5134340d2f2f95d312d98029fff75b86c9a11aa9598706412e8f0f9bf832b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd801f0771081fbb847424e3c481350605495bc080e9f3a57d30a21031815a37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-31T20:36:07Z",
    "title_canon_sha256": "81bc622e7a01581afd6e9d0883b79cf42d08270da57ac71b28707235e12f7a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7740",
    "kind": "arxiv",
    "version": 1
  }
}