Pith Number

pith:O27IAZH4

pith:2012:O27IAZH4YVLBST43MPJXL2W6VR

not attested not anchored not stored refs pending

Non-Compact Hopf Maps and Fuzzy Ultra-Hyperboloids

Kazuki Hasebe

arxiv:1207.1968 v4 · 2012-07-09 · hep-th · math-ph · math.MP · 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{O27IAZH4YVLBST43MPJXL2W6VR}

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

Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond

Receipt and verification

First computed	2026-05-18T01:56:26.768169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76be8064fcc556194f9b63d375eadeac66d0154ea1b562ff8fde524192ae5c3b

Aliases

arxiv: 1207.1968 · arxiv_version: 1207.1968v4 · doi: 10.48550/arxiv.1207.1968 · pith_short_12: O27IAZH4YVLB · pith_short_16: O27IAZH4YVLBST43 · pith_short_8: O27IAZH4

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/O27IAZH4YVLBST43MPJXL2W6VR \
  | 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: 76be8064fcc556194f9b63d375eadeac66d0154ea1b562ff8fde524192ae5c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658d98be654ad619eaa34a6872dd6045cf52cdfdfe461e0f48bfe167fd1009ea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-09T07:20:06Z",
    "title_canon_sha256": "9c16a01765e946a20f39b45164e4ec45005c98edafbf3ff9e95f2b476d0bd7c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1968",
    "kind": "arxiv",
    "version": 4
  }
}