Pith Number

pith:4EP6LSVF

pith:2023:4EP6LSVF3FMRW6KSYAWY6KH4ZT

not attested not anchored not stored refs pending

L-spaces, taut foliations and fibered hyperbolic two-bridge links

Diego Santoro

For rational homology spheres from Dehn surgery on fibered hyperbolic two-bridge links, not being an L-space is equivalent to supporting a coorientable taut foliation.

arxiv:2304.14914 v2 · 2023-04-28 · math.GT

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\usepackage{pith}
\pithnumber{4EP6LSVF3FMRW6KSYAWY6KH4ZT}

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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

If M is a rational homology sphere that is Dehn surgery on a fibered hyperbolic two-bridge link, then M is not an L-space if and only if M supports a coorientable taut foliation.

C2weakest assumption

The input manifolds arise specifically from Dehn surgery on fibered hyperbolic two-bridge links; the proof uses geometric and Floer-theoretic properties that hold only for this restricted class of links and the resulting surgeries.

C3one line summary

Proves equivalence between not being an L-space and supporting a coorientable taut foliation for Dehn surgeries on fibered hyperbolic two-bridge links, with corollaries for certain knot surgeries.

Receipt and verification

First computed	2026-06-23T01:12:43.522586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e11fe5caa5d9591b7952c02d8f28fcccd3a1d1e769cb2b89f9a7529b382fc09c

Aliases

arxiv: 2304.14914 · arxiv_version: 2304.14914v2 · doi: 10.48550/arxiv.2304.14914 · pith_short_12: 4EP6LSVF3FMR · pith_short_16: 4EP6LSVF3FMRW6KS · pith_short_8: 4EP6LSVF

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/4EP6LSVF3FMRW6KSYAWY6KH4ZT \
  | 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: e11fe5caa5d9591b7952c02d8f28fcccd3a1d1e769cb2b89f9a7529b382fc09c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559405cc1624add0b32d6d0766956e55570bd2aa73fbd333f0db74cd6b9f0798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-28T15:32:54Z",
    "title_canon_sha256": "a2d661c3769c40da4968877d0b6a86a8b3116285c06ce6d1275095bfa7fd7516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.14914",
    "kind": "arxiv",
    "version": 2
  }
}