Pith Number

pith:YT3JDO5P

pith:2005:YT3JDO5POQX2MQAPUV623K32AV

not attested not anchored not stored refs pending

Curvature of vector bundles associated to holomorphic fibrations

Bo Berndtsson

arxiv:math/0511225 v2 · 2005-11-09 · math.CV · 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{YT3JDO5POQX2MQAPUV623K32AV}

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	2026-05-18T03:41:59.208327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f691bbaf742fa6400fa57dadab7a055e51d0a2a7148cb6672c30005cd7a36b

Aliases

arxiv: math/0511225 · arxiv_version: math/0511225v2 · doi: 10.48550/arxiv.math/0511225 · pith_short_12: YT3JDO5POQX2 · pith_short_16: YT3JDO5POQX2MQAP · pith_short_8: YT3JDO5P

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/YT3JDO5POQX2MQAPUV623K32AV \
  | 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: c4f691bbaf742fa6400fa57dadab7a055e51d0a2a7148cb6672c30005cd7a36b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63957fb4929b4d6ab64463de250dc90b52c3a7c5b648ef52410e5fbe5c640177",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2005-11-09T12:00:30Z",
    "title_canon_sha256": "ae781404a01ce0291888a2d9051d3c44b66da580f7177525dff1a70b505c4a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511225",
    "kind": "arxiv",
    "version": 2
  }
}