Pith Number

pith:X2VGIRAR

pith:2010:X2VGIRARMSYYOPK3XI4X5NNT7V

not attested not anchored not stored refs pending

Symmetries of the Dirac operator with skew-symmetric torsion

Claude Warnick, David Kubiznak, Tsuyoshi Houri, Yukinori Yasui

arxiv:1002.3616 v1 · 2010-02-18 · hep-th · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2VGIRARMSYYOPK3XI4X5NNT7V}

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	2026-05-18T04:42:35.260929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beaa64441164b1873d5bba397eb5b3fd59df2849de8e94b2db5483329ed83ceb

Aliases

arxiv: 1002.3616 · arxiv_version: 1002.3616v1 · doi: 10.48550/arxiv.1002.3616 · pith_short_12: X2VGIRARMSYY · pith_short_16: X2VGIRARMSYYOPK3 · pith_short_8: X2VGIRAR

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/X2VGIRARMSYYOPK3XI4X5NNT7V \
  | 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: beaa64441164b1873d5bba397eb5b3fd59df2849de8e94b2db5483329ed83ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05f75552e1bfd769c0965727ab177a0323d483e39db41b8519f29698f423f2f",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-02-18T21:06:05Z",
    "title_canon_sha256": "525d8821ecdbd95d7dcfec3d791384be5f3dd62561c1219316fe96882e6eb4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3616",
    "kind": "arxiv",
    "version": 1
  }
}