Pith Number

pith:LCYFJN2F

pith:2012:LCYFJN2FEC3GIRAB5I6FAQDRTS

not attested not anchored not stored refs pending

A canonical form for Gaussian periodic processes

Giacomo Aletti, Matteo Ruffini

arxiv:1202.6182 v1 · 2012-02-28 · 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{LCYFJN2FEC3GIRAB5I6FAQDRTS}

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	2026-05-18T04:01:13.988596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b054b74520b6644401ea3c5040719caefae524c1869b0a3317e3148e943614

Aliases

arxiv: 1202.6182 · arxiv_version: 1202.6182v1 · doi: 10.48550/arxiv.1202.6182 · pith_short_12: LCYFJN2FEC3G · pith_short_16: LCYFJN2FEC3GIRAB · pith_short_8: LCYFJN2F

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/LCYFJN2FEC3GIRAB5I6FAQDRTS \
  | 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: 58b054b74520b6644401ea3c5040719caefae524c1869b0a3317e3148e943614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb2fd5f8e9e131933278c1a1edea16ddc415fe2a51420bc17a5fe8ef504f2ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-28T11:34:25Z",
    "title_canon_sha256": "8b1b8bd6673794b72b8bcdb15caeee736b45bb03e29eaba8ef41f133d43412ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6182",
    "kind": "arxiv",
    "version": 1
  }
}