Pith Number

pith:F6ATTXLH

pith:2007:F6ATTXLHZE74E6TAPMU3ECUFB2

not attested not anchored not stored refs pending

Spectrum of the Laplacian on Quaternionic Kahler Manifolds

Detang Zhou, Peter Li, Shengli Kong

arxiv:0704.1851 v1 · 2007-04-14 · 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{F6ATTXLHZE74E6TAPMU3ECUFB2}

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	2026-05-18T04:27:02.868464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f8139dd67c93fc27a607b29b20a850eb504da534266f69b8aad5022cd40c7a0

Aliases

arxiv: 0704.1851 · arxiv_version: 0704.1851v1 · doi: 10.48550/arxiv.0704.1851 · pith_short_12: F6ATTXLHZE74 · pith_short_16: F6ATTXLHZE74E6TA · pith_short_8: F6ATTXLH

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/F6ATTXLHZE74E6TAPMU3ECUFB2 \
  | 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: 2f8139dd67c93fc27a607b29b20a850eb504da534266f69b8aad5022cd40c7a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ad1abc7d698440997ebe9a7326eec5cbfa9884aa0790ba383b77d5644b9b6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-04-14T03:40:22Z",
    "title_canon_sha256": "59e3a50869a5e3fb0da72ac177fcba9a5a8002873bd78e7481e3fd9bb5e8a8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1851",
    "kind": "arxiv",
    "version": 1
  }
}