Pith Number

pith:PPZZD24W

pith:2006:PPZZD24WES4X6266PKBTGVKXFG

not attested not anchored not stored refs pending

Deformations of Scalar-Flat Anti-Self-Dual metrics and Quotients of Enriques Surfaces

Mustafa Kalafat

arxiv:math/0611772 v3 · 2006-11-25 · 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{PPZZD24WES4X6266PKBTGVKXFG}

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	2026-05-18T03:53:18.029006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf391eb9624b97f6bde7a8333555729863335ed6fd1517b2392ea4031f08ed6

Aliases

arxiv: math/0611772 · arxiv_version: math/0611772v3 · doi: 10.48550/arxiv.math/0611772 · pith_short_12: PPZZD24WES4X · pith_short_16: PPZZD24WES4X6266 · pith_short_8: PPZZD24W

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/PPZZD24WES4X6266PKBTGVKXFG \
  | 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: 7bf391eb9624b97f6bde7a8333555729863335ed6fd1517b2392ea4031f08ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c1d6870eee2c0ab62a2c39513634e49b737bd6cd13f97078cc18edcb4b6a6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-11-25T00:18:20Z",
    "title_canon_sha256": "f0c1299637b3f7f13ec16ca147bbd44e6e00d04b4faf1d3e2fcaa4013d205cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611772",
    "kind": "arxiv",
    "version": 3
  }
}