Pith Number

pith:BX2PDCFC

pith:2011:BX2PDCFCRH7QG3EQ5F27YXT45O

not attested not anchored not stored refs pending

Examples of Hodge Laplacians on quantum spheres

Alessandro Zampini

arxiv:1109.1529 v1 · 2011-09-07 · math.QA · hep-th · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BX2PDCFCRH7QG3EQ5F27YXT45O}

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	2026-05-18T04:13:55.522859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df4f188a289ff036c90e975fc5e7cebad80932f5d32be519451eb14588f0d5f

Aliases

arxiv: 1109.1529 · arxiv_version: 1109.1529v1 · doi: 10.48550/arxiv.1109.1529 · pith_short_12: BX2PDCFCRH7Q · pith_short_16: BX2PDCFCRH7QG3EQ · pith_short_8: BX2PDCFC

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/BX2PDCFCRH7QG3EQ5F27YXT45O \
  | 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: 0df4f188a289ff036c90e975fc5e7cebad80932f5d32be519451eb14588f0d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9f03087895c1ba91aaa8874fb3bf218719b2513c339a647f8e5a33b8957912",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-07T18:25:06Z",
    "title_canon_sha256": "ef1892992f8cd01f9600be8ec7ff09227cf4abe4f5e1ee7f2251d6dd3d5bfc80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1529",
    "kind": "arxiv",
    "version": 1
  }
}