Pith Number

pith:57L4BXTL

pith:2008:57L4BXTLZVHYXRFNUX55YX6QJB

not attested not anchored not stored refs pending

Extension of twisted Hodge metrics for K\"ahler morphisms

Christophe Mourougane (IRMAR), Shigeharu Takayama

arxiv:0809.3221 v1 · 2008-09-18 · 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{57L4BXTLZVHYXRFNUX55YX6QJB}

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	2026-05-18T00:15:11.026941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd7c0de6bcd4f8bc4ada5fbdc5fd0485a9c7599b60c24b218da81578b7438a3

Aliases

arxiv: 0809.3221 · arxiv_version: 0809.3221v1 · doi: 10.48550/arxiv.0809.3221 · pith_short_12: 57L4BXTLZVHY · pith_short_16: 57L4BXTLZVHYXRFN · pith_short_8: 57L4BXTL

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/57L4BXTLZVHYXRFNUX55YX6QJB \
  | 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: efd7c0de6bcd4f8bc4ada5fbdc5fd0485a9c7599b60c24b218da81578b7438a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1342e1859600d13f133b4f866babfcedf4bedabe22b41c128f6a9dd766e917b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-09-18T18:24:47Z",
    "title_canon_sha256": "09de85ed6e9d8055a8c40bdee9b6d9891af647eef4a920fa0320b97392e0a452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3221",
    "kind": "arxiv",
    "version": 1
  }
}