Pith Number

pith:UD2I3QJP

pith:2026:UD2I3QJPJC6SX7UWDB7HHQG6VS

not attested not anchored not stored refs pending

Nonstandard likelihood-ratio limits under semidefinite rank constraints

Didier Concordet

arxiv:2607.13761 v1 · 2026-07-15 · 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{UD2I3QJPJC6SX7UWDB7HHQG6VS}

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	2026-07-16T01:23:05.016923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f48dc12f48bd2bfe96187e73c0deacb9e718316fd71a637bf8a64603ac06b4

Aliases

arxiv: 2607.13761 · arxiv_version: 2607.13761v1 · doi: 10.48550/arxiv.2607.13761 · pith_short_12: UD2I3QJPJC6S · pith_short_16: UD2I3QJPJC6SX7UW · pith_short_8: UD2I3QJP

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/UD2I3QJPJC6SX7UWDB7HHQG6VS \
  | 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: a0f48dc12f48bd2bfe96187e73c0deacb9e718316fd71a637bf8a64603ac06b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f89e88b0bd9a41031f067c73bcc1472648a31afd9e0350b8d5b83d275b518d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-15T12:21:26Z",
    "title_canon_sha256": "27f977203c010766be3647c9f86252459e39cf3a087b5f47e634dd3786110eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13761",
    "kind": "arxiv",
    "version": 1
  }
}