Pith Number

pith:PJNBJ3O7

pith:2012:PJNBJ3O72D6DB5ETJLJ72L6DWY

not attested not anchored not stored refs pending

Dynamic Functional Principal Component

{\L}ukasz Kidzi\'nski, Marc Hallin, Siegfried H\"ormann

arxiv:1210.7192 v5 · 2012-10-26 · math.ST · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJNBJ3O72D6DB5ETJLJ72L6DWY}

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	2026-05-18T01:59:39.131411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5a14eddfd0fc30f4934ad3fd2fc3b63b702c97b9610a8171407fa91c179ba3

Aliases

arxiv: 1210.7192 · arxiv_version: 1210.7192v5 · doi: 10.48550/arxiv.1210.7192 · pith_short_12: PJNBJ3O72D6D · pith_short_16: PJNBJ3O72D6DB5ET · pith_short_8: PJNBJ3O7

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/PJNBJ3O72D6DB5ETJLJ72L6DWY \
  | 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: 7a5a14eddfd0fc30f4934ad3fd2fc3b63b702c97b9610a8171407fa91c179ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f72b7ead14974d45eb2c263ee8d7240cc10f30a22d66c23bc07c0b9c030133c",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-10-26T16:57:25Z",
    "title_canon_sha256": "2862b06ffe2518a979acd3a72c27ba4a6fa6185667e811986c9cba9f1f33d2f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7192",
    "kind": "arxiv",
    "version": 5
  }
}