Pith Number

pith:7UVNPDPM

pith:2000:7UVNPDPMS2GPT4OO6SMS3S3DGL

not attested not anchored not stored refs pending

Quantum error-correcting codes associated with graphs

D. Schlingemann, R.F. Werner

arxiv:quant-ph/0012111 v1 · 2000-12-20 · quant-ph · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UVNPDPMS2GPT4OO6SMS3S3DGL}

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 Structure of Circle Graph States

Receipt and verification

First computed	2026-05-18T03:24:20.611346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2ad78dec968cf9f1cef4992dcb6332e2348d0dc2c187fc4e9b7f4daa744300

Aliases

arxiv: quant-ph/0012111 · arxiv_version: quant-ph/0012111v1 · doi: 10.48550/arxiv.quant-ph/0012111 · pith_short_12: 7UVNPDPMS2GP · pith_short_16: 7UVNPDPMS2GPT4OO · pith_short_8: 7UVNPDPM

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/7UVNPDPMS2GPT4OO6SMS3S3DGL \
  | 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: fd2ad78dec968cf9f1cef4992dcb6332e2348d0dc2c187fc4e9b7f4daa744300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c80ce4fde9d0dd1371c76efcd262baf9c566c0f4c9f0bc3d614b335a7e9bb1cd",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-12-20T16:20:53Z",
    "title_canon_sha256": "1ff163f0b0b596ab2513053f0e869b6e66bb2f540b756ebc5c7cf5d5fc534d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0012111",
    "kind": "arxiv",
    "version": 1
  }
}