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Pith Number

pith:TDJLC564

pith:1999:TDJLC564ZP3A2DSSR3T3UE7JYZ
not attested not anchored not stored refs pending

On Vorontsov's theorem on K3 surfaces

D. -Q. Zhang, K. Oguiso

arxiv:math/9906006 v1 · 1999-06-01 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TDJLC564ZP3A2DSSR3T3UE7JYZ}

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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 2026-05-18T00:12:57.471028Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

98d2b177dccbf60d0e528ee7ba13e9c67bf2c9db96d883c24c2901717384a204

Aliases

arxiv: math/9906006 · arxiv_version: math/9906006v1 · doi: 10.48550/arxiv.math/9906006 · pith_short_12: TDJLC564ZP3A · pith_short_16: TDJLC564ZP3A2DSS · pith_short_8: TDJLC564
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TDJLC564ZP3A2DSSR3T3UE7JYZ \
  | 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: 98d2b177dccbf60d0e528ee7ba13e9c67bf2c9db96d883c24c2901717384a204
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1ca98c1aa76f231dc0b9a6fe761d7e502dca1c1623a852b1ceebab38c1d126b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-06-01T22:11:08Z",
    "title_canon_sha256": "c1c5acb9a9054c91fbfc7110303ae7a8ebea346e0a5547bb516bd3d23ec63421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906006",
    "kind": "arxiv",
    "version": 1
  }
}