Pith Number

pith:O2Q4VDVZ

pith:2007:O2Q4VDVZ3WXO4OTKXP3KT5P5EY

not attested not anchored not stored refs pending

Generalised Clifford groups and simulation of associated quantum circuits

Noah Linden, Richard Jozsa, Sean Clark

arxiv:quant-ph/0701103 v1 · 2007-01-15 · 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{O2Q4VDVZ3WXO4OTKXP3KT5P5EY}

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

A unified approach to quantum resource theories and a new class of free operations

Receipt and verification

First computed	2026-07-04T14:58:46.443351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a1ca8eb9ddaeee3a6abbf6a9f5fd260944bf7deb3a695d144eefd1173ea039

Aliases

arxiv: quant-ph/0701103 · arxiv_version: quant-ph/0701103v1 · doi: 10.48550/arxiv.quant-ph/0701103 · pith_short_12: O2Q4VDVZ3WXO · pith_short_16: O2Q4VDVZ3WXO4OTK · pith_short_8: O2Q4VDVZ

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/O2Q4VDVZ3WXO4OTKXP3KT5P5EY \
  | 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: 76a1ca8eb9ddaeee3a6abbf6a9f5fd260944bf7deb3a695d144eefd1173ea039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9302f4b81e3b891059652360cd8a65018cf2f3f85f851df668f0a6c472252f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-15T21:44:44Z",
    "title_canon_sha256": "fecfea4e9d646a1e3cbe840416fd8f07e5b7e7fd169f2bb3711b897152d1b285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0701103",
    "kind": "arxiv",
    "version": 1
  }
}