Pith Number

pith:LEB7ELQ3

pith:2004:LEB7ELQ3ILEKWHZHZESWKW6BAG

not attested not anchored not stored refs pending

The periodic Floer homology of a Dehn twist

Michael Hutchings, Michael Sullivan

arxiv:math/0410059 v2 · 2004-10-04 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEB7ELQ3ILEKWHZHZESWKW6BAG}

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.

Receipt and verification

First computed	2026-05-18T02:41:32.284618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5903f22e1b42c8ab1f27c925655bc101b35645bbc7859f6f05146bde42e85429

Aliases

arxiv: math/0410059 · arxiv_version: math/0410059v2 · doi: 10.48550/arxiv.math/0410059 · pith_short_12: LEB7ELQ3ILEK · pith_short_16: LEB7ELQ3ILEKWHZH · pith_short_8: LEB7ELQ3

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/LEB7ELQ3ILEKWHZHZESWKW6BAG \
  | 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: 5903f22e1b42c8ab1f27c925655bc101b35645bbc7859f6f05146bde42e85429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d134d15672b7336a5094daefb8610ad9f78a80b15b648925be9563a4b7ee30",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2004-10-04T18:55:31Z",
    "title_canon_sha256": "281b5138fea53a18dc248e702bd33fcb7bc9f3d8ab2a3148ec8ac49c3b1fa443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410059",
    "kind": "arxiv",
    "version": 2
  }
}