Pith Number

pith:VE3GSPRS

pith:2024:VE3GSPRSPZOARNV4MYZI6UNHRT

not attested not anchored not stored refs pending

Curvature, Dolbeault-Dirac operators, and an $\mathrm{L}^p$ index theorem on compact K\"ahler manifolds

C\'edric Arhancet

arxiv:2401.04203 v5 · 2024-01-08 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE3GSPRSPZOARNV4MYZI6UNHRT}

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

The $\mathrm{L}^p$-index of the Hodge-Dirac operator on compact Riemannian manifolds

Receipt and verification

First computed	2026-05-21T02:04:45.104696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a936693e327e5c08b6bc66328f51a78cd4fcb7719987d3fc00e511976245b917

Aliases

arxiv: 2401.04203 · arxiv_version: 2401.04203v5 · doi: 10.48550/arxiv.2401.04203 · pith_short_12: VE3GSPRSPZOA · pith_short_16: VE3GSPRSPZOARNV4 · pith_short_8: VE3GSPRS

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/VE3GSPRSPZOARNV4MYZI6UNHRT \
  | 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: a936693e327e5c08b6bc66328f51a78cd4fcb7719987d3fc00e511976245b917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35a9ae9e9b14edb0f73fcc694f37e5ca5bf943e23c95b67c55c1e84bef91787",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-01-08T19:30:32Z",
    "title_canon_sha256": "a285435271a8d7952171cd89d1e4ecfc2494e9c398cc23dcd1ff017eb8f1eb72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04203",
    "kind": "arxiv",
    "version": 5
  }
}