Pith Number

pith:AF7VUIYJ

pith:2013:AF7VUIYJPCKLY3W4IZVPTO2MWP

not attested not anchored not stored refs pending

Basic univariate and bivariate statistics for symbolic data: a critical review

Antonio Irpino

arxiv:1312.2248 v1 · 2013-12-08 · stat.ME · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF7VUIYJPCKLY3W4IZVPTO2MWP}

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	2026-05-18T03:05:10.821674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017f5a23097894bc6edc466af9bb4cb3f48e110de6cec8749f1c4ba7cabbc480

Aliases

arxiv: 1312.2248 · arxiv_version: 1312.2248v1 · doi: 10.48550/arxiv.1312.2248 · pith_short_12: AF7VUIYJPCKL · pith_short_16: AF7VUIYJPCKLY3W4 · pith_short_8: AF7VUIYJ

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/AF7VUIYJPCKLY3W4IZVPTO2MWP \
  | 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: 017f5a23097894bc6edc466af9bb4cb3f48e110de6cec8749f1c4ba7cabbc480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54dba7a58566203c8fe9b0809f70156a1c6218f7708c2ca3d8b8900dc4405dc6",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-12-08T19:36:39Z",
    "title_canon_sha256": "b6c80f076b02ff2674d1950671372daf31f4f2b4546a3dde8bb45ef61f051ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2248",
    "kind": "arxiv",
    "version": 1
  }
}