Pith Number

pith:YAYL5A5E

pith:2001:YAYL5A5ERCZLSR5UXNIBHN6KTP

not attested not anchored not stored refs pending

Optimal cloning for two pairs of orthogonal states

Chiara Macchiavello, Dagmar Bruss

arxiv:quant-ph/0110099 v1 · 2001-10-16 · 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{YAYL5A5ERCZLSR5UXNIBHN6KTP}

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	2026-07-04T16:29:42.031870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c030be83a488b2b947b4bb5013b7ca9bf1f079f968efd008dc8af5976f51af95

Aliases

arxiv: quant-ph/0110099 · arxiv_version: quant-ph/0110099v1 · doi: 10.48550/arxiv.quant-ph/0110099 · pith_short_12: YAYL5A5ERCZL · pith_short_16: YAYL5A5ERCZLSR5U · pith_short_8: YAYL5A5E

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/YAYL5A5ERCZLSR5UXNIBHN6KTP \
  | 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: c030be83a488b2b947b4bb5013b7ca9bf1f079f968efd008dc8af5976f51af95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8616284147c6023f02af9e0e083494ba368809db3f4bb04696b4e10563afad43",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-10-16T15:31:09Z",
    "title_canon_sha256": "a74fc38d20396d7cfcd3620cdc7ed5c90ac7ce1872ad4fea9f0c3430e36d181c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0110099",
    "kind": "arxiv",
    "version": 1
  }
}