Pith Number

pith:VBBXNR6W

pith:2013:VBBXNR6W2PQNY25NHACOHW2Y63

not attested not anchored not stored refs pending

Transverse Killing and twistor spinors associated to the basic Dirac operators

Adrian Mihai Ionescu, Gabriel-Eduard Vilcu, Mihai Visinescu, Vladimir Slesar

arxiv:1302.2739 v2 · 2013-02-12 · 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{VBBXNR6W2PQNY25NHACOHW2Y63}

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	2026-05-18T03:14:30.396958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84376c7d6d3e0dc6bad3804e3db58f6c74546ab15ae38b292dcd7f732550cf3

Aliases

arxiv: 1302.2739 · arxiv_version: 1302.2739v2 · doi: 10.48550/arxiv.1302.2739 · pith_short_12: VBBXNR6W2PQN · pith_short_16: VBBXNR6W2PQNY25N · pith_short_8: VBBXNR6W

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/VBBXNR6W2PQNY25NHACOHW2Y63 \
  | 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: a84376c7d6d3e0dc6bad3804e3db58f6c74546ab15ae38b292dcd7f732550cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a3c8bc532648c1aa9eb9961dfbbd35fcbd86b0ad7ce0db82da6e28c62d7f06",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-12T09:44:25Z",
    "title_canon_sha256": "0b4eede69b166af156f1d7399e0204ec12696df70c5b81b98531e57eacc04c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2739",
    "kind": "arxiv",
    "version": 2
  }
}