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Pith Number

pith:YSI5FJLG

pith:2013:YSI5FJLGB23PHSH5HBMTYA3HDF
not attested not anchored not stored refs pending

Intrinsicness of the Newton polygon for smooth curves on $\mathbb{P}^1\times \mathbb{P}^1$

Filip Cools, Wouter Castryck

arxiv:1304.4997 v2 · 2013-04-18 · math.AG · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YSI5FJLGB23PHSH5HBMTYA3HDF}

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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 2026-05-18T01:17:47.380211Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c491d2a5660eb6f3c8fd38593c0367195d1f798ed6b38c48b407b51712419dad

Aliases

arxiv: 1304.4997 · arxiv_version: 1304.4997v2 · doi: 10.48550/arxiv.1304.4997 · pith_short_12: YSI5FJLGB23P · pith_short_16: YSI5FJLGB23PHSH5 · pith_short_8: YSI5FJLG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YSI5FJLGB23PHSH5HBMTYA3HDF \
  | 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: c491d2a5660eb6f3c8fd38593c0367195d1f798ed6b38c48b407b51712419dad
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9623a3caf33b35fee6b65e9bfbedba7a37d2104ae201b5055416662411e99918",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-18T00:47:14Z",
    "title_canon_sha256": "cecc62baacaee599c7747e0b6de25b722a133eefb224964dd3785b920a353135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4997",
    "kind": "arxiv",
    "version": 2
  }
}