Pith Number

pith:IF3AQTVB

pith:2012:IF3AQTVBPRVFNXFZ7V45BGNE66

not attested not anchored not stored refs pending

Quasihomogeneity of curves and the Jacobian endomorphism ring

Mathias Schulze, Michel Granger

arxiv:1211.5443 v2 · 2012-11-23 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IF3AQTVBPRVFNXFZ7V45BGNE66}

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	2026-05-18T01:03:53.754774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4176084ea17c6a56dcb9fd79d099a4f7b117471d81c0a5158c7607a487cc143d

Aliases

arxiv: 1211.5443 · arxiv_version: 1211.5443v2 · doi: 10.48550/arxiv.1211.5443 · pith_short_12: IF3AQTVBPRVF · pith_short_16: IF3AQTVBPRVFNXFZ · pith_short_8: IF3AQTVB

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/IF3AQTVBPRVFNXFZ7V45BGNE66 \
  | 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: 4176084ea17c6a56dcb9fd79d099a4f7b117471d81c0a5158c7607a487cc143d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab7aa72ad8ddcd16ad0460ffc756e032aa5cdfadc6e5f5a4bb336fa8ced7006",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-23T09:16:03Z",
    "title_canon_sha256": "ce7daa1f2668440bf8d26a0eeb5f29d63187739a469774a54738c0280e2ab7b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5443",
    "kind": "arxiv",
    "version": 2
  }
}