Pith Number

pith:Y2YX6EO6

pith:2011:Y2YX6EO6H7UBRREKOS75HD24SZ

not attested not anchored not stored refs pending

Extremal K\"ahler metrics and energy functionals on projective bundles

Haozhao Li

arxiv:1107.5237 v1 · 2011-07-26 · 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{Y2YX6EO6H7UBRREKOS75HD24SZ}

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	2026-05-18T04:16:52.668481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b17f11de3fe818c48a74bfd38f5c9642d02147ed402616ba3772553651c99f

Aliases

arxiv: 1107.5237 · arxiv_version: 1107.5237v1 · doi: 10.48550/arxiv.1107.5237 · pith_short_12: Y2YX6EO6H7UB · pith_short_16: Y2YX6EO6H7UBRREK · pith_short_8: Y2YX6EO6

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/Y2YX6EO6H7UBRREKOS75HD24SZ \
  | 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: c6b17f11de3fe818c48a74bfd38f5c9642d02147ed402616ba3772553651c99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bf4bf1e8b6ad215c162f651399837748819fb7da443a5f15b0e7abf840cfc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-26T15:14:30Z",
    "title_canon_sha256": "29bde268bb7cd672e0802ba009d87f0d6ffb5af1438298a2d6190a716a6c0497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5237",
    "kind": "arxiv",
    "version": 1
  }
}