Pith Number

pith:AY4NFCSD

pith:2011:AY4NFCSDR2DZY2YHMKDYHRPOQ6

not attested not anchored not stored refs pending

On a ring of modular forms related to the Theta gradients map in genus 2

Alessio Fiorentino

arxiv:1109.2362 v1 · 2011-09-11 · 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{AY4NFCSDR2DZY2YHMKDYHRPOQ6}

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	2026-05-18T00:55:39.729566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0638d28a438e879c6b07628783c5ee879774630070f80055761467848123d603

Aliases

arxiv: 1109.2362 · arxiv_version: 1109.2362v1 · doi: 10.48550/arxiv.1109.2362 · pith_short_12: AY4NFCSDR2DZ · pith_short_16: AY4NFCSDR2DZY2YH · pith_short_8: AY4NFCSD

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/AY4NFCSDR2DZY2YHMKDYHRPOQ6 \
  | 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: 0638d28a438e879c6b07628783c5ee879774630070f80055761467848123d603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46949604292be30956d4f5664f64a2cbcc00270ee81c578fa187fde310750c16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-11T23:25:16Z",
    "title_canon_sha256": "e0393bc7aa9cfd9ce4ad0ea439b1c137f6f6a67b2069d76182c87eaf39bad4fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2362",
    "kind": "arxiv",
    "version": 1
  }
}