Pith Number

pith:JJG67CWE

pith:2013:JJG67CWEZN7H2VZCSI73H7ZHN4

not attested not anchored not stored refs pending

Toric ideals with linear components: an algebraic interpretation of clustering the cells of a contingency table

Enrico Carlini, Fabio Rapallo

arxiv:1309.7622 v1 · 2013-09-29 · math.ST · math.AC · 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{JJG67CWEZN7H2VZCSI73H7ZHN4}

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	2026-05-18T03:11:56.396834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4def8ac4cb7e7d5722923fb3ff276f2fffcbf211c23b0479fcd587fdded46f

Aliases

arxiv: 1309.7622 · arxiv_version: 1309.7622v1 · doi: 10.48550/arxiv.1309.7622 · pith_short_12: JJG67CWEZN7H · pith_short_16: JJG67CWEZN7H2VZC · pith_short_8: JJG67CWE

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/JJG67CWEZN7H2VZCSI73H7ZHN4 \
  | 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: 4a4def8ac4cb7e7d5722923fb3ff276f2fffcbf211c23b0479fcd587fdded46f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1181d4ddaa2cb3c4e583b0a78483f2d2c539879e8d0a5c95c2600c7c46063591",
    "cross_cats_sorted": [
      "math.AC",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-29T16:40:09Z",
    "title_canon_sha256": "c926425981118ce2bf456641e699c548669eb907cc6c40f8a1b8d54fc5f6542c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7622",
    "kind": "arxiv",
    "version": 1
  }
}