Pith Number

pith:XPIA4Q36

pith:2010:XPIA4Q36MAQDDVAPGBOJAQ6VPN

not attested not anchored not stored refs pending

SIC~POVMs and Clifford groups in prime dimensions

Huangjun Zhu

arxiv:1003.3591 v2 · 2010-03-18 · 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{XPIA4Q36MAQDDVAPGBOJAQ6VPN}

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	2026-05-18T02:08:25.972607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd00e437e602031d40f305c9043d57b5b0ae0c45f475145a0ea6f60c066c72e

Aliases

arxiv: 1003.3591 · arxiv_version: 1003.3591v2 · doi: 10.48550/arxiv.1003.3591 · pith_short_12: XPIA4Q36MAQD · pith_short_16: XPIA4Q36MAQDDVAP · pith_short_8: XPIA4Q36

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/XPIA4Q36MAQDDVAPGBOJAQ6VPN \
  | 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: bbd00e437e602031d40f305c9043d57b5b0ae0c45f475145a0ea6f60c066c72e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "118cec3cb7b82fe8b3f9a4296b14efcb2905719b7c6807f76982d85f4a80cd6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-18T14:35:14Z",
    "title_canon_sha256": "94fd5ccd8c84ad96dac9c89f524d54605af4c518768c775a1386b22c160b2733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3591",
    "kind": "arxiv",
    "version": 2
  }
}