Pith Number

pith:F62AHYO3

pith:2006:F62AHYO3RIPU4Q2GG7CZ4KCJUR

not attested not anchored not stored refs pending

How many copies are needed for state discrimination?

Andreas Winter, Aram W. Harrow

arxiv:quant-ph/0606131 v1 · 2006-06-15 · 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{F62AHYO3RIPU4Q2GG7CZ4KCJUR}

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.

Cited by

1 paper in Pith

Pretty simple bounds on quantum state discrimination

Receipt and verification

First computed	2026-05-18T04:03:32.885880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb403e1db8a1f4e434637c59e2849a474bdff32dec7d7cdc056981af533efc2

Aliases

arxiv: quant-ph/0606131 · arxiv_version: quant-ph/0606131v1 · doi: 10.48550/arxiv.quant-ph/0606131 · pith_short_12: F62AHYO3RIPU · pith_short_16: F62AHYO3RIPU4Q2G · pith_short_8: F62AHYO3

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/F62AHYO3RIPU4Q2GG7CZ4KCJUR \
  | 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: 2fb403e1db8a1f4e434637c59e2849a474bdff32dec7d7cdc056981af533efc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4edf9b0220dceb614be6863767baabb0a1dd01b2e5fee3591db87bfb94bec6f1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-06-15T11:33:53Z",
    "title_canon_sha256": "ba8eda5e12a7d4c9e6af37faa5f8635954d111df6f49c9c70dc9f28d3111fe53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0606131",
    "kind": "arxiv",
    "version": 1
  }
}