Pith Number

pith:OLY4MG2P

pith:2008:OLY4MG2PZYMAPJFKHNMLKL4V6K

not attested not anchored not stored refs pending

Spectral action and neutrino mass

Andrzej Sitarz

arxiv:0808.4127 v2 · 2008-08-29 · math-ph · 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{OLY4MG2PZYMAPJFKHNMLKL4V6K}

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

Spectral Noncommutative Geometry, Standard Model and all that

Receipt and verification

First computed	2026-05-18T00:14:29.533753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f1c61b4fce1807a4aa3b58b52f95f28cb112dc417a1adf6402216f8d8c3af4

Aliases

arxiv: 0808.4127 · arxiv_version: 0808.4127v2 · doi: 10.48550/arxiv.0808.4127 · pith_short_12: OLY4MG2PZYMA · pith_short_16: OLY4MG2PZYMAPJFK · pith_short_8: OLY4MG2P

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/OLY4MG2PZYMAPJFKHNMLKL4V6K \
  | 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: 72f1c61b4fce1807a4aa3b58b52f95f28cb112dc417a1adf6402216f8d8c3af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1085629e4f95b807dd79c8104ec83bf201a1982005abed17cd9423b7b8c99c97",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-08-29T16:27:01Z",
    "title_canon_sha256": "3f8acd07aa03c2d718e6d8881900c107912ae4b550a92dd41def3110426b0448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.4127",
    "kind": "arxiv",
    "version": 2
  }
}