Pith Number

pith:MVB2RPWW

pith:2026:MVB2RPWWA7QD3TM5GI3RX4H2SA

not attested not anchored not stored refs resolved

Brieskorn spheres with two fillable contact structures

Alberto Cavallo

All Brieskorn spheres with at most two symplectically fillable contact structures are listed up to isotopy for a fixed orientation.

arxiv:2605.17567 v1 · 2026-05-17 · math.GT

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\usepackage{pith}
\pithnumber{MVB2RPWWA7QD3TM5GI3RX4H2SA}

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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 provide the complete list of all the Brieskorn spheres carrying at most two symplectically fillable structures, up to isotopy, compatible with a given orientation.

C2weakest assumption

The recent classification of negative-twisting tight contact structures on Seifert fibered spaces whose base orbifold is a sphere is complete and correctly identifies all structures that can appear on Brieskorn spheres.

C3one line summary

Provides the complete list of Brieskorn spheres carrying at most two symplectically fillable contact structures up to isotopy.

References

14 extracted · 14 resolved · 3 Pith anchors

[1] Brieskorn spheres and rational homology ball symplectic fillings · arXiv:2605.13812

[2] Fillable structures on negative-definite Seifert fibred spaces · arXiv:2604.28174

[3] Heegaard Floer homology and maximal twisting numbers · arXiv:2604.28162

[4] Corks, involutions, and Heegaard Floer homology 2023

[5] J. Etnyre and K. Honda,On the nonexistence of tight contact structures, Ann. Math. (2),153(2001), no. 3, pp. 749–766 2001

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:46.336447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6543a8bed607e03dcd9d32371bf0fa902648942db1e4234d5e07b6261ed1d423

Aliases

arxiv: 2605.17567 · arxiv_version: 2605.17567v1 · doi: 10.48550/arxiv.2605.17567 · pith_short_12: MVB2RPWWA7QD · pith_short_16: MVB2RPWWA7QD3TM5 · pith_short_8: MVB2RPWW

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/MVB2RPWWA7QD3TM5GI3RX4H2SA \
  | 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: 6543a8bed607e03dcd9d32371bf0fa902648942db1e4234d5e07b6261ed1d423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ae763e311ce1ff1a60af5b0103c52bcf6fae07d5985cfeb9c18d98c45ef509",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-17T17:55:47Z",
    "title_canon_sha256": "2de8b1e675f628c81aa3d5e0cb9a8fd7942b799056e20a301e7eab654f0e7834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17567",
    "kind": "arxiv",
    "version": 1
  }
}