Pith Number

pith:QRENKIJ4

pith:2025:QRENKIJ4CETP3TIKE7UERGCCUM

not attested not anchored not stored refs pending

Bertrand's Representation of the Optimal Detector

Vladimir Lenok

arxiv:2509.10198 v1 · 2025-09-12 · physics.data-an · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRENKIJ4CETP3TIKE7UERGCCUM}

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	2026-07-05T12:11:04.800547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8448d5213c1126fdcd0a27e8489842a3270b72b64cb83481d4549c6d8a6722bf

Aliases

arxiv: 2509.10198 · arxiv_version: 2509.10198v1 · doi: 10.48550/arxiv.2509.10198 · pith_short_12: QRENKIJ4CETP · pith_short_16: QRENKIJ4CETP3TIK · pith_short_8: QRENKIJ4

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/QRENKIJ4CETP3TIKE7UERGCCUM \
  | 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: 8448d5213c1126fdcd0a27e8489842a3270b72b64cb83481d4549c6d8a6722bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d6f05d65ca693a4c5a62048c1d135893bb219b5c3964bc3f45308da5d17891",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2025-09-12T12:43:30Z",
    "title_canon_sha256": "e11b270d96d7c60b937ccb4118b297ab8491ed41ebe3c485ec05042831b96d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10198",
    "kind": "arxiv",
    "version": 1
  }
}