Pith Number

pith:MCSVIWY2

pith:2021:MCSVIWY2BV7GOAGC5L6Y3VP7KE

not attested not anchored not stored refs pending

Continuity of the Spectrum of Dirac Operators of Spectral Triples for the Spectral Propinquity

Frederic Latremoliere

arxiv:2112.11000 v3 · 2021-12-21 · math.OA · math-ph · math.FA · 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{MCSVIWY2BV7GOAGC5L6Y3VP7KE}

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

How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale

Receipt and verification

First computed	2026-07-05T08:42:52.459108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60a5545b1a0d7e6700c2eafd8dd5ff5124253ce19c7d6ba6859969275dd4c5f3

Aliases

arxiv: 2112.11000 · arxiv_version: 2112.11000v3 · doi: 10.48550/arxiv.2112.11000 · pith_short_12: MCSVIWY2BV7G · pith_short_16: MCSVIWY2BV7GOAGC · pith_short_8: MCSVIWY2

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/MCSVIWY2BV7GOAGC5L6Y3VP7KE \
  | 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: 60a5545b1a0d7e6700c2eafd8dd5ff5124253ce19c7d6ba6859969275dd4c5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d995405364c86da0bbc366d36faa7f11bcb4ef8563f0a8ef760d124a98ebc4",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-12-21T05:55:28Z",
    "title_canon_sha256": "47a8ea1242e1860920c3b7505a747bbff3fc138705f52cc7f542c42d5f9691cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11000",
    "kind": "arxiv",
    "version": 3
  }
}