Pith Number

pith:RLCUGRDA

pith:2007:RLCUGRDAJJ7DUCLIL6VWZT6HRS

not attested not anchored not stored refs pending

On the Complexity of Computing Zero-Error and Holevo Capacity of Quantum Channels

Peter W. Shor, Salman Beigi

arxiv:0709.2090 v3 · 2007-09-13 · 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{RLCUGRDAJJ7DUCLIL6VWZT6HRS}

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

The Shape of Information: Global Information Geometric Limits in Multi-task Quantum Systems

Receipt and verification

First computed	2026-07-04T15:15:01.433591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac54344604a7e3a09685fab6ccfc78ca29a0c363d5fec31f279a115dd67ddfb

Aliases

arxiv: 0709.2090 · arxiv_version: 0709.2090v3 · doi: 10.48550/arxiv.0709.2090 · pith_short_12: RLCUGRDAJJ7D · pith_short_16: RLCUGRDAJJ7DUCLI · pith_short_8: RLCUGRDA

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/RLCUGRDAJJ7DUCLIL6VWZT6HRS \
  | 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: 8ac54344604a7e3a09685fab6ccfc78ca29a0c363d5fec31f279a115dd67ddfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1788801921f67501ec117d474072ac500488be15cd3929ccfed27728550afe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-09-13T14:46:45Z",
    "title_canon_sha256": "2ebc38b26f3e47c496b18f26de7bc0d8902c34e8d82f866ef144373a1e7f5e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2090",
    "kind": "arxiv",
    "version": 3
  }
}