Pith Number

pith:FACRS4QZ

pith:2009:FACRS4QZYDPYCG24FVHXXMD4MO

not attested not anchored not stored refs pending

The minimum-error discrimination via Helstrom family of ensembles and Convex Optimization

M. Aali, M. A. Jafarizadeh, Y. Mazhari

arxiv:0910.5415 v1 · 2009-10-28 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FACRS4QZYDPYCG24FVHXXMD4MO}

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	2026-05-18T01:04:01.418432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2805197219c0df811b5c2d4f7bb07c6390b8dbc4cd9aeffa599abd5dcb613abe

Aliases

arxiv: 0910.5415 · arxiv_version: 0910.5415v1 · doi: 10.48550/arxiv.0910.5415 · pith_short_12: FACRS4QZYDPY · pith_short_16: FACRS4QZYDPYCG24 · pith_short_8: FACRS4QZ

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/FACRS4QZYDPYCG24FVHXXMD4MO \
  | 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: 2805197219c0df811b5c2d4f7bb07c6390b8dbc4cd9aeffa599abd5dcb613abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439129db45ff829bfea1eab6c175e21118dd8b4087771fe5cdb7c96aba43ea5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-10-28T16:15:41Z",
    "title_canon_sha256": "f6ac0755203ca5821f03178f833b06fee1a021fc446c1f259d24fec6ee775562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5415",
    "kind": "arxiv",
    "version": 1
  }
}