Pith Number

pith:65T4VY6O

pith:2012:65T4VY6OJLSR55E46M3QILXV5N

not attested not anchored not stored refs pending

Optimal state discrimination with a fixed rate of inconclusive results: Analytical solutions and relation to state discrimination with a fixed error rate

Ulrike Herzog

arxiv:1206.4412 v3 · 2012-06-20 · 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{65T4VY6OJLSR55E46M3QILXV5N}

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	2026-05-18T03:44:48.951215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f767cae3ce4ae51ef49cf337042ef5eb614041d29c864d7c9b1c08b9b0f59b5b

Aliases

arxiv: 1206.4412 · arxiv_version: 1206.4412v3 · doi: 10.48550/arxiv.1206.4412 · pith_short_12: 65T4VY6OJLSR · pith_short_16: 65T4VY6OJLSR55E4 · pith_short_8: 65T4VY6O

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/65T4VY6OJLSR55E46M3QILXV5N \
  | 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: f767cae3ce4ae51ef49cf337042ef5eb614041d29c864d7c9b1c08b9b0f59b5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4021137bbe6f647756a4bc8dfd1d07f725f155e31a563fbe6619c414aa545747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-20T08:39:04Z",
    "title_canon_sha256": "1371938106d44af21ae392d7c9cd95fe0b3ad0d09ec51812ea409bc23ba48fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4412",
    "kind": "arxiv",
    "version": 3
  }
}