Pith Number

pith:JAEKTTGI

pith:2025:JAEKTTGI4NMDBAUUA7G33WNDHS

not attested not anchored not stored refs pending

Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces

Ziqi Liu

For generic K3 surfaces, birational and biregular involutions on the Hilbert scheme of points are induced exactly by autoequivalences of the derived category.

arxiv:2501.08854 v5 · 2025-01-15 · math.AG

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\usepackage{pith}
\pithnumber{JAEKTTGI4NMDBAUUA7G33WNDHS}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

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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.

Claims

C1strongest claim

Under the assumption that the K3 surface is generic, the birational and biregular involutions induced by autoequivalences on the derived category of the underlying K3 surface are characterized.

C2weakest assumption

The K3 surface is generic (as stated in the abstract).

C3one line summary

Characterizes involutions on Hilb^n(X) for generic K3 surface X induced by autoequivalences of D^b(X).

Receipt and verification

First computed	2026-05-26T02:03:48.191400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4808a9ccc8e35830829407cdbdd9a33ca4fb853bf36082dc2ea8c39c5ef5c05a

Aliases

arxiv: 2501.08854 · arxiv_version: 2501.08854v5 · doi: 10.48550/arxiv.2501.08854 · pith_short_12: JAEKTTGI4NMD · pith_short_16: JAEKTTGI4NMDBAUU · pith_short_8: JAEKTTGI

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JAEKTTGI4NMDBAUUA7G33WNDHS \
  | 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: 4808a9ccc8e35830829407cdbdd9a33ca4fb853bf36082dc2ea8c39c5ef5c05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a90190417450d2cd65377441cbddd3a53999d09ae86379614cd5cd958b40a86b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-15T15:08:04Z",
    "title_canon_sha256": "8b0d549e36facc9bbb15a512c3e3c4ad8f97b3533b9465b8c10e8f0d1f5b11d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08854",
    "kind": "arxiv",
    "version": 5
  }
}