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Pith Number

pith:PTSGL3DF

pith:2016:PTSGL3DF5LH3LO2XVAHZTHZSCI
not attested not anchored not stored refs pending

Stable rationality of quadric surface bundles over surfaces

Alena Pirutka, Brendan Hassett, Yuri Tschinkel

arxiv:1603.09262 v1 · 2016-03-30 · math.AG · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PTSGL3DF5LH3LO2XVAHZTHZSCI}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T01:18:00.976797Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ce465ec65eacfb5bb57a80f999f32122b8a569afee7693ea4b4a9b98149a2a9

Aliases

arxiv: 1603.09262 · arxiv_version: 1603.09262v1 · doi: 10.48550/arxiv.1603.09262 · pith_short_12: PTSGL3DF5LH3 · pith_short_16: PTSGL3DF5LH3LO2X · pith_short_8: PTSGL3DF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PTSGL3DF5LH3LO2XVAHZTHZSCI \
  | 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: 7ce465ec65eacfb5bb57a80f999f32122b8a569afee7693ea4b4a9b98149a2a9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e64820d00f2c97aeb3ede30efe234916dae8090fae68723d63ca170c429e62c9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T16:19:11Z",
    "title_canon_sha256": "66607146f1c9c68aa5496f0f5e81f02cf8535210e570a312570d8ece940315ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09262",
    "kind": "arxiv",
    "version": 1
  }
}