Pith Number

pith:XFUQEAIZ

pith:2010:XFUQEAIZCHFOPPUQLQVZIM7TKK

not attested not anchored not stored refs pending

Dualities and Identities for Entanglement-Assisted Quantum Codes

Ching-Yi Lai, Mark M. Wilde, Todd A. Brun

arxiv:1010.5506 v4 · 2010-10-26 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFUQEAIZCHFOPPUQLQVZIM7TKK}

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	2026-05-18T02:23:38.554043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96902011911cae7be905c2b9433f35285a940a36bd27389f3f9a11a36ffae76

Aliases

arxiv: 1010.5506 · arxiv_version: 1010.5506v4 · doi: 10.48550/arxiv.1010.5506 · pith_short_12: XFUQEAIZCHFO · pith_short_16: XFUQEAIZCHFOPPUQ · pith_short_8: XFUQEAIZ

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/XFUQEAIZCHFOPPUQLQVZIM7TKK \
  | 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: b96902011911cae7be905c2b9433f35285a940a36bd27389f3f9a11a36ffae76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c89761c6bf8c31e560e785c80c44024e1a1648000f4daa25449de253caae2c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-26T20:05:08Z",
    "title_canon_sha256": "24d0679ecd8b18887071471dc9c3f0893d3f53e629029e72a6ef0025f5d6a6e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5506",
    "kind": "arxiv",
    "version": 4
  }
}