Pith Number

pith:67PMIUOG

pith:2007:67PMIUOGGCJ4SXIEEQVCPRXEJX

not attested not anchored not stored refs pending

Bergman kernels and the pseudoeffectivity of relative canonical bundles

Bo Berndtsson, Mihai Paun

arxiv:math/0703344 v4 · 2007-03-12 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67PMIUOGGCJ4SXIEEQVCPRXEJX}

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	2026-05-18T03:41:59.197496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7dec451c63093c95d04242a27c6e44defa77f70d18930f07994c5667f621536

Aliases

arxiv: math/0703344 · arxiv_version: math/0703344v4 · doi: 10.48550/arxiv.math/0703344 · pith_short_12: 67PMIUOGGCJ4 · pith_short_16: 67PMIUOGGCJ4SXIE · pith_short_8: 67PMIUOG

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/67PMIUOGGCJ4SXIEEQVCPRXEJX \
  | 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: f7dec451c63093c95d04242a27c6e44defa77f70d18930f07994c5667f621536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea8d96adc47155a71dfbfee42ee94efb5c5ce9539b0da5d8bfa172487f03fd8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-03-12T14:56:09Z",
    "title_canon_sha256": "5ddd713f3244341b243d224d44899d7b611156f284fc36f2e7187ee4baafdf0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703344",
    "kind": "arxiv",
    "version": 4
  }
}