Pith Number

pith:72RLT5SQ

pith:2012:72RLT5SQJKNBQEDY4YD7YXHJKH

not attested not anchored not stored refs pending

Spectral action for a one-parameter family of Dirac-type operators on SU(2) and its inflation model

Alan Lai, Kevin Teh

arxiv:1207.5038 v1 · 2012-07-20 · math-ph · math.MP · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72RLT5SQJKNBQEDY4YD7YXHJKH}

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	2026-05-18T01:56:15.547886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea2b9f6504a9a181078e607fc5ce951d230cb783d72c8bd32dd3e6fb6cac222

Aliases

arxiv: 1207.5038 · arxiv_version: 1207.5038v1 · doi: 10.48550/arxiv.1207.5038 · pith_short_12: 72RLT5SQJKNB · pith_short_16: 72RLT5SQJKNBQEDY · pith_short_8: 72RLT5SQ

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/72RLT5SQJKNBQEDY4YD7YXHJKH \
  | 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: fea2b9f6504a9a181078e607fc5ce951d230cb783d72c8bd32dd3e6fb6cac222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e1d236d8adfbdb596a3027107e6738bea58e0aa43d77d8252de20c614a4556",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-20T19:48:10Z",
    "title_canon_sha256": "e4142e8cbe96b50b6e379b97103731e9380cd314b63dcb4eb1461548010de0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5038",
    "kind": "arxiv",
    "version": 1
  }
}