Pith Number

pith:AXMN3YLD

pith:2011:AXMN3YLDVWOFMX6P6A6E4JXQKT

not attested not anchored not stored refs pending

Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets

David Kubiznak, Marco Cariglia, Pavel Krtous

arxiv:1102.4501 v1 · 2011-02-22 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXMN3YLDVWOFMX6P6A6E4JXQKT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:16:01.977941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d8dde163ad9c565fcff03c4e26f054f27765d8cc4f39fecc439eb0c97e07c2

Aliases

arxiv: 1102.4501 · arxiv_version: 1102.4501v1 · doi: 10.48550/arxiv.1102.4501 · pith_short_12: AXMN3YLDVWOF · pith_short_16: AXMN3YLDVWOFMX6P · pith_short_8: AXMN3YLD

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/AXMN3YLDVWOFMX6P6A6E4JXQKT \
  | 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: 05d8dde163ad9c565fcff03c4e26f054f27765d8cc4f39fecc439eb0c97e07c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ba5a9acb83deb20fe6ca5cad06c2b29b54566273e1a1b9a41076af79cfde83",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-02-22T13:40:29Z",
    "title_canon_sha256": "8d46e802e252c062fe0db1c29c890a5746d01841e84dee3ee411908e674969e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4501",
    "kind": "arxiv",
    "version": 1
  }
}