Pith Number

pith:2FEQWODA

pith:2026:2FEQWODABX7UQEWIU2KIZ7DE4L

not attested not anchored not stored refs pending

Derived jet and arc spaces

C. Eric Overton-Walker, Lance Edward Miller, Roi Docampo

Derived jet and arc spaces coincide with classical ones when the base is smooth or has local complete intersection log canonical singularities.

arxiv:2604.08429 v2 · 2026-04-09 · math.AG

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\usepackage{pith}
\pithnumber{2FEQWODABX7UQEWIU2KIZ7DE4L}

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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.

Claims

C1strongest claim

We show that the derived constructions agree with the classical versions when the base scheme is smooth, or more generally for local complete intersection log canonical singularities, giving a derived interpretation to a theorem of Mustaţă.

C2weakest assumption

That the animation of the jet and arc functors to derived schemes preserves the classical objects precisely when the base is smooth or lci log canonical, without additional hidden obstructions in the derived setting.

C3one line summary

Derived jet and arc spaces match classical versions for smooth or lci log canonical singularities, supply higher homotopy groups as new singularity invariants for rougher spaces, generalize cotangent complex formulas, and extend arc space results to non-perfect fields.

Receipt and verification

First computed	2026-05-22T01:03:19.251865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1490b38600dff4812c8a6948cfc64e2db26c0f7ee527a954320fffcc05a24e7

Aliases

arxiv: 2604.08429 · arxiv_version: 2604.08429v2 · doi: 10.48550/arxiv.2604.08429 · pith_short_12: 2FEQWODABX7U · pith_short_16: 2FEQWODABX7UQEWI · pith_short_8: 2FEQWODA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2FEQWODABX7UQEWIU2KIZ7DE4L \
  | 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: d1490b38600dff4812c8a6948cfc64e2db26c0f7ee527a954320fffcc05a24e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2601501fa6bc45f477fc8b99f4efd142f49f47e269ab5ccaadb87b5b10e85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-04-09T16:33:32Z",
    "title_canon_sha256": "ab1764bf9ee94006fd1935b4e4036e65bbc5f858201fa9ee69a3759846691b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.08429",
    "kind": "arxiv",
    "version": 2
  }
}