Pith Number

pith:HGQ7CBVI

pith:2012:HGQ7CBVI7CG7YDC3NKMWYR4MBN

not attested not anchored not stored refs pending

Embeddable Quantum Homogeneous Spaces

Pawe{\l} Kasprzak, Piotr M. So{\l}tan

arxiv:1210.2221 v2 · 2012-10-08 · math.OA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGQ7CBVI7CG7YDC3NKMWYR4MBN}

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	2026-05-18T02:38:26.787281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a1f106a8f88dfc0c5b6a996c478c0b670f8393c835a4f8c4d2d2f9e3202d19

Aliases

arxiv: 1210.2221 · arxiv_version: 1210.2221v2 · doi: 10.48550/arxiv.1210.2221 · pith_short_12: HGQ7CBVI7CG7 · pith_short_16: HGQ7CBVI7CG7YDC3 · pith_short_8: HGQ7CBVI

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/HGQ7CBVI7CG7YDC3NKMWYR4MBN \
  | 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: 39a1f106a8f88dfc0c5b6a996c478c0b670f8393c835a4f8c4d2d2f9e3202d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044abf3cd07573d31cb4e1274117afc7bd78d791da9ac040ecef1334553d0533",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-08T10:39:32Z",
    "title_canon_sha256": "459564e27f5d1fab637f8775b6764e727552250a05d6e5840156e097c9a3afb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2221",
    "kind": "arxiv",
    "version": 2
  }
}