Pith Number

pith:DKDAATXC

pith:2026:DKDAATXCNPXWMT2RFUJDM7VEGV

not attested not anchored not stored refs pending

Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem

Efe \.Izbudak, Kadri \.Ilker Berktav

The quotient of a derived symplectic space by a weight-1 Gm-action carries a derived contact structure, with the action's fundamental vector field replacing the classical Liouville field.

arxiv:2605.08394 v2 · 2026-05-08 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKDAATXCNPXWMT2RFUJDM7VEGV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Taking the quotient of a derived symplectic space descends the symplectic data to a contact structure, avoiding a transverse hypersurface, where the fundamental vector field of a weight 1 Gm-action replaces the classical Liouville vector field.

C2weakest assumption

That the derived Gm-action and quotient construction faithfully reproduce the classical transversality and contact data without additional hidden assumptions on the derived stack or the action.

C3one line summary

Quotients of derived symplectic spaces by Gm-actions yield contact structures, enabling a derived Legendrian intersection theorem with applications to moduli stacks.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

A Derived Legendrian Category for Shifted Contact Stacks

Receipt and verification

First computed	2026-05-26T02:04:12.514444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a86004ee26bef664f512d12367ea4354bd31367d903c1ddc52a3a9cbca57e43

Aliases

arxiv: 2605.08394 · arxiv_version: 2605.08394v2 · doi: 10.48550/arxiv.2605.08394 · pith_short_12: DKDAATXCNPXW · pith_short_16: DKDAATXCNPXWMT2R · pith_short_8: DKDAATXC

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/DKDAATXCNPXWMT2RFUJDM7VEGV \
  | 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: 1a86004ee26bef664f512d12367ea4354bd31367d903c1ddc52a3a9cbca57e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec81001c6c3fb6b4522dfc99e05040806a7fb015d74cc3d1801e2f8e7bdaebfd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-08T19:03:31Z",
    "title_canon_sha256": "90d8c0f80f11ed4022ea0ad5cbe59f6ec2be6016754b53c5db8ee57560b74f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.08394",
    "kind": "arxiv",
    "version": 2
  }
}