Pith Number

pith:S7ODI2VE

pith:2003:S7ODI2VEOEBDNRTZQ6EMCU7XVU

not attested not anchored not stored refs pending

The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)

Bart De Moor, Jeroen Dehaene

arxiv:quant-ph/0304125 v1 · 2003-04-18 · 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{S7ODI2VEOEBDNRTZQ6EMCU7XVU}

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	2026-07-04T16:42:29.264399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97dc346aa4710236c6798788c153f7ad31adf2e98b6c5820d66b2f9545def99c

Aliases

arxiv: quant-ph/0304125 · arxiv_version: quant-ph/0304125v1 · doi: 10.48550/arxiv.quant-ph/0304125 · pith_short_12: S7ODI2VEOEBD · pith_short_16: S7ODI2VEOEBDNRTZ · pith_short_8: S7ODI2VE

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/S7ODI2VEOEBDNRTZQ6EMCU7XVU \
  | 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: 97dc346aa4710236c6798788c153f7ad31adf2e98b6c5820d66b2f9545def99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451ba405ea7d2e77c021dcd8daaad5fdbdb162ff282e1a48f01c1e2982e945ed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-04-18T09:21:19Z",
    "title_canon_sha256": "d288cbd007a9ddadb9845c3bf7ce28a734f965112f9f3ad810224f78b3c67dbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0304125",
    "kind": "arxiv",
    "version": 1
  }
}