Pith Number

pith:C4NIE42I

pith:2017:C4NIE42IIX6D4H34LV3BISTDH5

not attested not anchored not stored refs pending

Generalized Fr\'echet Bounds for Cell Entries in Multidimensional Contingency Tables

Caroline Uhler, Donald Richards

arxiv:1708.02708 v2 · 2017-08-09 · math.ST · 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{C4NIE42IIX6D4H34LV3BISTDH5}

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	2026-05-18T00:30:16.553881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171a82734845fc3e1f7c5d76144a633f755ce3c1aa62a8c2aecebe241a919daf

Aliases

arxiv: 1708.02708 · arxiv_version: 1708.02708v2 · doi: 10.48550/arxiv.1708.02708 · pith_short_12: C4NIE42IIX6D · pith_short_16: C4NIE42IIX6D4H34 · pith_short_8: C4NIE42I

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/C4NIE42IIX6D4H34LV3BISTDH5 \
  | 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: 171a82734845fc3e1f7c5d76144a633f755ce3c1aa62a8c2aecebe241a919daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e096d476a72f0f8177fa6b5805be7ca4d8f24c0d611be6c3f4d6a7d9e234ed84",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-08-09T04:02:00Z",
    "title_canon_sha256": "937d15aac66bb128ea0a148d1d2b8f3da396d098b414ad1e90eb51ffdfd59b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02708",
    "kind": "arxiv",
    "version": 2
  }
}