Pith Number

pith:D2K4DSYA

pith:2005:D2K4DSYA3ILRVFRQX3FJGCYPX4

not attested not anchored not stored refs pending

Fourier-Laplace transform of a variation of polarized complex Hodge structure

Claude Sabbah

arxiv:math/0508551 v2 · 2005-08-28 · 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{D2K4DSYA3ILRVFRQX3FJGCYPX4}

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	2026-05-18T04:32:09.901062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e95c1cb00da171a9630beca930b0fbf2bc5376482eaeb10b2e7f722ee991ea0

Aliases

arxiv: math/0508551 · arxiv_version: math/0508551v2 · doi: 10.48550/arxiv.math/0508551 · pith_short_12: D2K4DSYA3ILR · pith_short_16: D2K4DSYA3ILRVFRQ · pith_short_8: D2K4DSYA

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/D2K4DSYA3ILRVFRQX3FJGCYPX4 \
  | 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: 1e95c1cb00da171a9630beca930b0fbf2bc5376482eaeb10b2e7f722ee991ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf445e92f6cb75d26c07b9b21b8e175e4f8b3679488b7b709528c73f93809b8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-08-28T19:56:48Z",
    "title_canon_sha256": "0c207d93587d4a77b0d80230638b86a3b9ab2877a16176331da72af82b61c0ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508551",
    "kind": "arxiv",
    "version": 2
  }
}