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Pith Number

pith:N3KSV5EF

pith:2012:N3KSV5EFAJ6OX4ZETYYJ5MLNQ4
not attested not anchored not stored refs pending

Log canonical models and variation of GIT for genus four canonical curves

David Jensen, Radu Laza, Sebastian Casalaina-Martin

arxiv:1203.5014 v3 · 2012-03-22 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N3KSV5EFAJ6OX4ZETYYJ5MLNQ4}

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 2026-05-18T02:24:58.750683Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6ed52af485027cebf3249e309eb16d870a5deccad26762a1c92d8de76486bbcf

Aliases

arxiv: 1203.5014 · arxiv_version: 1203.5014v3 · doi: 10.48550/arxiv.1203.5014 · pith_short_12: N3KSV5EFAJ6O · pith_short_16: N3KSV5EFAJ6OX4ZE · pith_short_8: N3KSV5EF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N3KSV5EFAJ6OX4ZETYYJ5MLNQ4 \
  | 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: 6ed52af485027cebf3249e309eb16d870a5deccad26762a1c92d8de76486bbcf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dcb96a31b8a61a27f32c6c3944aa5c1bb507840f1b2f33b8e4610c50fa331f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-22T15:24:02Z",
    "title_canon_sha256": "f19edb78539e9803f8fbb146cfe4cb441380a1643ebfd93ab90479059cc8ed2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5014",
    "kind": "arxiv",
    "version": 3
  }
}