Pith Number

pith:X5XMYGKN

pith:2005:X5XMYGKNF4ZQNN47AU4JOGQCTX

not attested not anchored not stored refs pending

Capacity Theorems for Quantum Multiple Access Channels: Classical-Quantum and Quantum-Quantum Capacity Regions

Igor Devetak, Jon Yard, Patrick Hayden

arxiv:quant-ph/0501045 v3 · 2005-01-11 · 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{X5XMYGKNF4ZQNN47AU4JOGQCTX}

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	2026-05-18T04:10:23.967672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6ecc194d2f3306b79f0538971a029de813e926607e2668ef84e6c558aed3a6

Aliases

arxiv: quant-ph/0501045 · arxiv_version: quant-ph/0501045v3 · doi: 10.48550/arxiv.quant-ph/0501045 · pith_short_12: X5XMYGKNF4ZQ · pith_short_16: X5XMYGKNF4ZQNN47 · pith_short_8: X5XMYGKN

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/X5XMYGKNF4ZQNN47AU4JOGQCTX \
  | 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: bf6ecc194d2f3306b79f0538971a029de813e926607e2668ef84e6c558aed3a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1352fc3b32ea0b11850b3c6b8a174fe6f69f884f9fe0a2e731845e4220d7d083",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-01-11T01:46:16Z",
    "title_canon_sha256": "4465d9143e49df1c781aea287b949c191ed37e63ffe15008b9f84f6cbbdfd063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0501045",
    "kind": "arxiv",
    "version": 3
  }
}