Pith Number

pith:5SIZX3G7

pith:2012:5SIZX3G7N3YISRP7FDBQTPWF4G

not attested not anchored not stored refs pending

Systems of Imprimitivity for the Clifford Group

{\AA}sa Ericsson, D. M. Appleby, Ingemar Bengtsson, Jan-{\AA}ke Larsson, Markus Grassl, Stephen Brierley

arxiv:1210.1055 v1 · 2012-10-03 · 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{5SIZX3G7N3YISRP7FDBQTPWF4G}

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	2026-07-05T04:03:24.062775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec919becdf6ef08945ff28c309bec5e183f4f460335f99a8719cb726fa82231b

Aliases

arxiv: 1210.1055 · arxiv_version: 1210.1055v1 · doi: 10.48550/arxiv.1210.1055 · pith_short_12: 5SIZX3G7N3YI · pith_short_16: 5SIZX3G7N3YISRP7 · pith_short_8: 5SIZX3G7

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/5SIZX3G7N3YISRP7FDBQTPWF4G \
  | 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: ec919becdf6ef08945ff28c309bec5e183f4f460335f99a8719cb726fa82231b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9e363450a6022c1fed5f7226c02ea99034b279c0ba070a9225552fa76cf518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-03T10:16:30Z",
    "title_canon_sha256": "dc583979d71bf0b1b17e46fd075cb2d2a73f04cd45d5769befb7c49575950a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1055",
    "kind": "arxiv",
    "version": 1
  }
}