Pith Number

pith:AGVXXA56

pith:2012:AGVXXA56JNHTX6DP7AUDQDAG6X

not attested not anchored not stored refs pending

On dominant rational maps from products of curves to surfaces of general type

Francesco Bastianelli, Gian Pietro Pirola

arxiv:1206.4496 v2 · 2012-06-20 · 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{AGVXXA56JNHTX6DP7AUDQDAG6X}

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	2026-05-18T02:41:17.339376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01ab7b83be4b4f3bf86ff828380c06f5e22d44971505c0881fd61a474bb0c101

Aliases

arxiv: 1206.4496 · arxiv_version: 1206.4496v2 · doi: 10.48550/arxiv.1206.4496 · pith_short_12: AGVXXA56JNHT · pith_short_16: AGVXXA56JNHTX6DP · pith_short_8: AGVXXA56

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/AGVXXA56JNHTX6DP7AUDQDAG6X \
  | 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: 01ab7b83be4b4f3bf86ff828380c06f5e22d44971505c0881fd61a474bb0c101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13025cbd7fa86ff2eae1be57d28497e832cd692a5f485f67942f71d455caf2ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-20T13:53:32Z",
    "title_canon_sha256": "800accb3b16ec1d8f9ba0474b9c24318390ad620818041622c59cd168082088c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4496",
    "kind": "arxiv",
    "version": 2
  }
}