Pith Number

pith:OZSPN5KM

pith:2012:OZSPN5KMYP27W2CUB457D4VX77

not attested not anchored not stored refs pending

Dirac operator on spinors and diffeomorphisms

Giacomo Dossena, Ludwik Dabrowski

arxiv:1209.2021 v1 · 2012-09-10 · 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{OZSPN5KMYP27W2CUB457D4VX77}

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

Manikin-Recorded Cardiopulmonary Sounds Dataset Using Digital Stethoscope

Receipt and verification

First computed	2026-05-18T03:39:06.168659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7664f6f54cc3f5fb68540f3bf1f2b7ffcf070a8da43dce1337bcc4c2ae37d224

Aliases

arxiv: 1209.2021 · arxiv_version: 1209.2021v1 · doi: 10.48550/arxiv.1209.2021 · pith_short_12: OZSPN5KMYP27 · pith_short_16: OZSPN5KMYP27W2CU · pith_short_8: OZSPN5KM

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/OZSPN5KMYP27W2CUB457D4VX77 \
  | 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: 7664f6f54cc3f5fb68540f3bf1f2b7ffcf070a8da43dce1337bcc4c2ae37d224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a318e9832dee31d8480239dc9e1839c8347c938ac9348e564d6c82eb720c9b4e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-10T15:06:59Z",
    "title_canon_sha256": "15e0232a58febb91ad61247c7b719c731d7deedfc1d881826c67fb5bb022bb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2021",
    "kind": "arxiv",
    "version": 1
  }
}