Pith Number

pith:TL6ZQCJC

pith:2008:TL6ZQCJC7CM7QMUUCSVI6Q2QNT

not attested not anchored not stored refs pending

On paraquaternionic submersions between paraquaternionic K\"ahler manifolds

Angelo V. Caldarella

arxiv:0807.1824 v1 · 2008-07-11 · 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{TL6ZQCJC7CM7QMUUCSVI6Q2QNT}

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	2026-05-18T04:07:06.943736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afd980922f899f8329414aa8f43506ccd4f9edf5283ee0255b187987dbf6e6a

Aliases

arxiv: 0807.1824 · arxiv_version: 0807.1824v1 · doi: 10.48550/arxiv.0807.1824 · pith_short_12: TL6ZQCJC7CM7 · pith_short_16: TL6ZQCJC7CM7QMUU · pith_short_8: TL6ZQCJC

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/TL6ZQCJC7CM7QMUUCSVI6Q2QNT \
  | 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: 9afd980922f899f8329414aa8f43506ccd4f9edf5283ee0255b187987dbf6e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7bcd162414811e3d93c43485e2733a212723fd1f93c6831b8d7390a35a1acef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-07-11T11:23:51Z",
    "title_canon_sha256": "9550837810855e0ff27b5eca3dbafffc57881338087b7f9358874d4120220a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1824",
    "kind": "arxiv",
    "version": 1
  }
}