Pith Number

pith:BXNSAJXX

pith:2023:BXNSAJXX2ZD7SU5J7IZ2XF3FHV

not attested not anchored not stored refs pending

Log-Concavity of Multinomial Likelihood Functions Under Interval Censoring Constraints on Frequencies or Their Partial Sums

Bruce Levin, Erik Learned-Miller

arxiv:2311.02763 v1 · 2023-11-05 · math.ST · cs.LG · stat.ML · 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{BXNSAJXX2ZD7SU5J7IZ2XF3FHV}

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	2026-07-05T07:09:17.441418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ddb2026f7d647f953a9fa33ab97653d5497b7b97ac8fb1a56f5ef6b0410b542

Aliases

arxiv: 2311.02763 · arxiv_version: 2311.02763v1 · doi: 10.48550/arxiv.2311.02763 · pith_short_12: BXNSAJXX2ZD7 · pith_short_16: BXNSAJXX2ZD7SU5J · pith_short_8: BXNSAJXX

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/BXNSAJXX2ZD7SU5J7IZ2XF3FHV \
  | 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: 0ddb2026f7d647f953a9fa33ab97653d5497b7b97ac8fb1a56f5ef6b0410b542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50928064b3ed7f5d8938790357d6b642ecbe2739c255182c8fa4bd025b8e3ecb",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-11-05T20:44:08Z",
    "title_canon_sha256": "6d78d80911d89cd6cf217819fdf909717b5579236ebb3bb324dc5e48762925ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.02763",
    "kind": "arxiv",
    "version": 1
  }
}