Pith Number

pith:J3A3OEQM

pith:2007:J3A3OEQM6ASTGGMXUTS6UBHWTD

not attested not anchored not stored refs pending

On the spectrum of the twisted Dolbeault Laplacian over K\"ahler manifolds

Marcos Jardim, Rafael F. Leao

arxiv:0706.0878 v2 · 2007-06-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3A3OEQM6ASTGGMXUTS6UBHWTD}

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	2026-05-18T02:16:30.354368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec1b7120cf025331997a4e5ea04f698ebbd00e7e2bf3c23c6e8c154852ef07f

Aliases

arxiv: 0706.0878 · arxiv_version: 0706.0878v2 · doi: 10.48550/arxiv.0706.0878 · pith_short_12: J3A3OEQM6AST · pith_short_16: J3A3OEQM6ASTGGMX · pith_short_8: J3A3OEQM

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/J3A3OEQM6ASTGGMXUTS6UBHWTD \
  | 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: 4ec1b7120cf025331997a4e5ea04f698ebbd00e7e2bf3c23c6e8c154852ef07f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f4b362792759c0cab3ad2d7847f0df9e012e540a471665f79a2e7fe5cac48b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-06-06T17:59:47Z",
    "title_canon_sha256": "2f1af7a85fbd277350641a372f8147ed403f8421c639890da4f61048d1ff78d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0878",
    "kind": "arxiv",
    "version": 2
  }
}