Pith Number

pith:YBU3ORZF

pith:2008:YBU3ORZFGCSEZ36SFLNBSLK3SP

not attested not anchored not stored refs pending

Non-optimality of unitary operations for dense coding

Michael R. Beran, Scott M. Cohen

arxiv:0807.4552 v1 · 2008-07-28 · 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{YBU3ORZFGCSEZ36SFLNBSLK3SP}

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	2026-05-18T02:45:49.008825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c069b7472530a44cefd22ada192d5b93d63d9afe2ec25edd692b7f8d4da03207

Aliases

arxiv: 0807.4552 · arxiv_version: 0807.4552v1 · doi: 10.48550/arxiv.0807.4552 · pith_short_12: YBU3ORZFGCSE · pith_short_16: YBU3ORZFGCSEZ36S · pith_short_8: YBU3ORZF

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/YBU3ORZFGCSEZ36SFLNBSLK3SP \
  | 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: c069b7472530a44cefd22ada192d5b93d63d9afe2ec25edd692b7f8d4da03207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a0932517b75508dd214d9dfe5a6d43ac0e01474a5c99b6488ccfccf6296555",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-07-28T22:21:35Z",
    "title_canon_sha256": "425f33b7dd59ce32feb5e3f8361fd7a1018f16b083e5298828374934298f6e78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4552",
    "kind": "arxiv",
    "version": 1
  }
}