Pith Number

pith:XXT5A6FK

pith:2009:XXT5A6FKCMPD3DUGNO725TAZSU

not attested not anchored not stored refs pending

The stabilizer dimension of graph states

D.H. Zhang, D.L. Zhou, H. Fan

arxiv:0901.1435 v1 · 2009-01-11 · 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{XXT5A6FKCMPD3DUGNO725TAZSU}

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	2026-05-18T02:15:02.643321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde7d078aa131e3d8e866bbfaecc1995200a87e13cd14643c8a3569a9f08f827

Aliases

arxiv: 0901.1435 · arxiv_version: 0901.1435v1 · doi: 10.48550/arxiv.0901.1435 · pith_short_12: XXT5A6FKCMPD · pith_short_16: XXT5A6FKCMPD3DUG · pith_short_8: XXT5A6FK

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/XXT5A6FKCMPD3DUGNO725TAZSU \
  | 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: bde7d078aa131e3d8e866bbfaecc1995200a87e13cd14643c8a3569a9f08f827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8aa38b18fdede1fc8b4beb825357c89488a6e1b80b443a17da4a948bdea740b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-01-11T12:30:44Z",
    "title_canon_sha256": "ad7622243cd1754b5bab4fc17d67d7c74d6c029bee70ba78da9f101eb675047a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1435",
    "kind": "arxiv",
    "version": 1
  }
}