Pith Number

pith:AYM6RPCL

pith:2010:AYM6RPCLAIDKO642Q5DYGBIPUO

not attested not anchored not stored refs pending

Zero-error communication via quantum channels, non-commutative graphs and a quantum Lovasz theta function

Andreas Winter, Runyao Duan, Simone Severini

arxiv:1002.2514 v2 · 2010-02-12 · quant-ph · cs.IT · math.IT · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYM6RPCLAIDKO642Q5DYGBIPUO}

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	2026-05-18T03:27:43.096359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0619e8bc4b0206a77b9a874783050fa3a577c662377710f59de62b6b8ab189ea

Aliases

arxiv: 1002.2514 · arxiv_version: 1002.2514v2 · doi: 10.48550/arxiv.1002.2514 · pith_short_12: AYM6RPCLAIDK · pith_short_16: AYM6RPCLAIDKO642 · pith_short_8: AYM6RPCL

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/AYM6RPCLAIDKO642Q5DYGBIPUO \
  | 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: 0619e8bc4b0206a77b9a874783050fa3a577c662377710f59de62b6b8ab189ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cdf987d14c8261c713dd97d7f077c877ff55763a11ac3de19e990709dac553",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-12T16:25:47Z",
    "title_canon_sha256": "eb1fd7940a20459da06cd500abd60af86d9dd952efb334844082fdbb209ed13a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2514",
    "kind": "arxiv",
    "version": 2
  }
}