Pith Number

pith:Q5XOHKCF

pith:2014:Q5XOHKCFS7YXBOBOP3GLQ2GM4C

not attested not anchored not stored refs pending

Multinomial and empirical likelihood under convex constraints: directions of recession, Fenchel duality, perturbations

Marian Grend\'ar, Vladim\'ir \v{S}pitalsk\'y

arxiv:1408.5621 v1 · 2014-08-24 · math.ST · math.OC · stat.AP · 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{Q5XOHKCFS7YXBOBOP3GLQ2GM4C}

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	2026-05-18T00:42:08.022126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876ee3a84597f170b82e7eccb868cce0855e24a294db43eb37ccba5be64c5b24

Aliases

arxiv: 1408.5621 · arxiv_version: 1408.5621v1 · doi: 10.48550/arxiv.1408.5621 · pith_short_12: Q5XOHKCFS7YX · pith_short_16: Q5XOHKCFS7YXBOBO · pith_short_8: Q5XOHKCF

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/Q5XOHKCFS7YXBOBOP3GLQ2GM4C \
  | 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: 876ee3a84597f170b82e7eccb868cce0855e24a294db43eb37ccba5be64c5b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c56985f48a9d09c9266344e0b4ec3d15acb67f6b09df3e1a208115dc0c59fa9",
    "cross_cats_sorted": [
      "math.OC",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-08-24T17:35:39Z",
    "title_canon_sha256": "32400378b049c9aba6ff94d4d7f4e7fc0ade28f86e05b992080f22dbcbead876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5621",
    "kind": "arxiv",
    "version": 1
  }
}