Pith Number

pith:Z4DJ7WRO

pith:2012:Z4DJ7WROUTL6OKY734LAJAKV43

not attested not anchored not stored refs pending

Large deviation principle for certain spatially lifted Gaussian rough path

Yuzuru Inahama

arxiv:1212.1249 v2 · 2012-12-06 · 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{Z4DJ7WROUTL6OKY734LAJAKV43}

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	2026-05-18T00:56:52.246837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf069fda2ea4d7e72b1fdf16048155e6d335a49af0d8aa924773fdff8caf07df

Aliases

arxiv: 1212.1249 · arxiv_version: 1212.1249v2 · doi: 10.48550/arxiv.1212.1249 · pith_short_12: Z4DJ7WROUTL6 · pith_short_16: Z4DJ7WROUTL6OKY7 · pith_short_8: Z4DJ7WRO

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/Z4DJ7WROUTL6OKY734LAJAKV43 \
  | 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: cf069fda2ea4d7e72b1fdf16048155e6d335a49af0d8aa924773fdff8caf07df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50571d94ffc90ae49db417df87d5aeec7878b54cb1494357875d064adbb9d4d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-06T07:03:22Z",
    "title_canon_sha256": "1573554d2b8e13f25d830c746d264cfe4ebf53b511e9995f1f691479048e8a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1249",
    "kind": "arxiv",
    "version": 2
  }
}