Pith Number

pith:QDNHA767

pith:2011:QDNHA767NH3KA3VOZBZ5FFMINJ

not attested not anchored not stored refs pending

Extremal K\"ahler metrics on blow-ups of parabolic ruled surfaces

Carl Tipler

arxiv:1104.4315 v3 · 2011-04-21 · 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{QDNHA767NH3KA3VOZBZ5FFMINJ}

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	2026-05-18T03:36:04.996107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80da707fdf69f6a06eaec873d295886a58aa724c9e31f5c621f3662b4d9fa20e

Aliases

arxiv: 1104.4315 · arxiv_version: 1104.4315v3 · doi: 10.48550/arxiv.1104.4315 · pith_short_12: QDNHA767NH3K · pith_short_16: QDNHA767NH3KA3VO · pith_short_8: QDNHA767

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/QDNHA767NH3KA3VOZBZ5FFMINJ \
  | 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: 80da707fdf69f6a06eaec873d295886a58aa724c9e31f5c621f3662b4d9fa20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5964492e0a2dd4d388edc5954c3def88d3e0a9e4c9ca7ba860b4c9cf943d6d91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-21T17:03:46Z",
    "title_canon_sha256": "20dadca5de31787fff5f423763510920aa88e4908bfd1e1a1dbb2f769b5cacb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4315",
    "kind": "arxiv",
    "version": 3
  }
}