Pith Number

pith:GVLBCQKL

pith:2005:GVLBCQKLGZRD2MGE4JQKWXCJ3L

not attested not anchored not stored refs pending

Fibrations with constant scalar curvature Kahler metrics and the CM-line bundle

Joel Fine

arxiv:math/0510075 v3 · 2005-10-04 · math.DG · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVLBCQKLGZRD2MGE4JQKWXCJ3L}

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	2026-05-18T00:48:03.609856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355611414b36623d30c4e260ab5c49dae1ddb9ba13bdd204d9b4928d25168ab1

Aliases

arxiv: math/0510075 · arxiv_version: math/0510075v3 · doi: 10.48550/arxiv.math/0510075 · pith_short_12: GVLBCQKLGZRD · pith_short_16: GVLBCQKLGZRD2MGE · pith_short_8: GVLBCQKL

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/GVLBCQKLGZRD2MGE4JQKWXCJ3L \
  | 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: 355611414b36623d30c4e260ab5c49dae1ddb9ba13bdd204d9b4928d25168ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036675f099f98a1406ef912e002c2e1b3d2f5210ac1149cda080e44b02bc4af8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-10-04T12:58:50Z",
    "title_canon_sha256": "7462df8453bfd7403fb2651abdba820c26e4f89c1d47ff36563b44e9c650e79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510075",
    "kind": "arxiv",
    "version": 3
  }
}