Pith Number

pith:H62QUNC5

pith:2012:H62QUNC5H3BYKWRBKKAJL5YWDK

not attested not anchored not stored refs pending

Pseudo-Riemannian spectral triples and the harmonic oscillator

Adam Rennie, Koen van den Dungen, Mario Paschke

arxiv:1207.2112 v2 · 2012-07-06 · math.OA · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H62QUNC5H3BYKWRBKKAJL5YWDK}

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	2026-05-18T02:20:29.174161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb50a345d3ec3855a21528095f7161a9b8eb0abca20733ba77fca4e80c4592b

Aliases

arxiv: 1207.2112 · arxiv_version: 1207.2112v2 · doi: 10.48550/arxiv.1207.2112 · pith_short_12: H62QUNC5H3BY · pith_short_16: H62QUNC5H3BYKWRB · pith_short_8: H62QUNC5

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/H62QUNC5H3BYKWRBKKAJL5YWDK \
  | 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: 3fb50a345d3ec3855a21528095f7161a9b8eb0abca20733ba77fca4e80c4592b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6adc8568d21f2f70f751ed7f18a45238ab0fe54ca6e9b0328e6886d32ac5eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-07-06T11:12:10Z",
    "title_canon_sha256": "31f11a59a36a7a62a41032d24861cbc7a87fbf9986252d1cb4da5d4a37749dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2112",
    "kind": "arxiv",
    "version": 2
  }
}