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Pith Number

pith:ASDMHL7P

pith:2012:ASDMHL7PPXBKGM2O37WZ3BVJLW
not attested not anchored not stored refs pending

The twisted Spin$^c$ Dirac operator on K\"ahler submanifolds of the complex projective space

Georges Habib, Roger Nakad

arxiv:1207.2642 v1 · 2012-07-11 · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{ASDMHL7PPXBKGM2O37WZ3BVJLW}

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 2026-05-18T03:51:14.907829Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0486c3afef7dc2a3334edfed9d86a95da236291402fafd0abe10688bfce2f54d

Aliases

arxiv: 1207.2642 · arxiv_version: 1207.2642v1 · doi: 10.48550/arxiv.1207.2642 · pith_short_12: ASDMHL7PPXBK · pith_short_16: ASDMHL7PPXBKGM2O · pith_short_8: ASDMHL7P
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/ASDMHL7PPXBKGM2O37WZ3BVJLW \
  | 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: 0486c3afef7dc2a3334edfed9d86a95da236291402fafd0abe10688bfce2f54d
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "3e00ddd91da0d9f8087e1dcca7e95df8469ad161de5691e87cdcce2fb2f77bf6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-11T14:00:46Z",
    "title_canon_sha256": "10f804c09b779c29ab40c5ba2aa028951aa26a49465b03d6181ac92da47cc9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2642",
    "kind": "arxiv",
    "version": 1
  }
}