Pith Number

pith:QDNGDABT

pith:2012:QDNGDABTBVNT3XPN7BQQUS7AOX

not attested not anchored not stored refs pending

Bounds on the distance between a unital quantum channel and the convex hull of unitary channels, with applications to the asymptotic quantum Birkhoff conjecture

Nengkun Yu, Quanhua Xu, Runyao Duan

arxiv:1201.1172 v1 · 2012-01-05 · quant-ph · math.FA · 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{QDNGDABTBVNT3XPN7BQQUS7AOX}

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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	2026-05-18T04:05:05.861607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80da6180330d5b3dddedf8610a4be075fce18695210aef2d27ec5c80bafceda4

Aliases

arxiv: 1201.1172 · arxiv_version: 1201.1172v1 · doi: 10.48550/arxiv.1201.1172 · pith_short_12: QDNGDABTBVNT · pith_short_16: QDNGDABTBVNT3XPN · pith_short_8: QDNGDABT

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/QDNGDABTBVNT3XPN7BQQUS7AOX \
  | 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: 80da6180330d5b3dddedf8610a4be075fce18695210aef2d27ec5c80bafceda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1281e34845f64d1556ed24bfe9851b7abfc8e014c0af413b1d01e60d4fc064a2",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-01-05T13:54:32Z",
    "title_canon_sha256": "e23accf57b126e7dc5f091cfe19d694114d19ec84338e091d03adc808c5006cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1172",
    "kind": "arxiv",
    "version": 1
  }
}