Pith Number

pith:247VJFWM

pith:2007:247VJFWMB5WG5A3ZHP732GRZLI

not attested not anchored not stored refs pending

Hodge metrics and the curvature of higher direct images

Christophe Mourougane (IRMAR), Shigeharu Takayama

arxiv:0707.3551 v2 · 2007-07-24 · 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{247VJFWMB5WG5A3ZHP732GRZLI}

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	2026-05-18T00:15:11.036413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73f5496cc0f6c6e83793bffbd1a395a1bd7eb05f740e2f33865c25eb6fd784e

Aliases

arxiv: 0707.3551 · arxiv_version: 0707.3551v2 · doi: 10.48550/arxiv.0707.3551 · pith_short_12: 247VJFWMB5WG · pith_short_16: 247VJFWMB5WG5A3Z · pith_short_8: 247VJFWM

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/247VJFWMB5WG5A3ZHP732GRZLI \
  | 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: d73f5496cc0f6c6e83793bffbd1a395a1bd7eb05f740e2f33865c25eb6fd784e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb00001428781180683eb3068659db51059c3a21784fa96261840ea228f9fed2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-24T13:44:06Z",
    "title_canon_sha256": "5a9d5c674e554bd0eb26fc30e429d6178fe6c64e96924141429ac63232eb9006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3551",
    "kind": "arxiv",
    "version": 2
  }
}