Pith Number

pith:WGYHBXIR

pith:2009:WGYHBXIREUS6NZ3C5JAWYPT3MG

not attested not anchored not stored refs pending

Heegaard Floer homology of broken fibrations over the circle

Yanki Lekili

arxiv:0903.1773 v4 · 2009-03-10 · 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{WGYHBXIREUS6NZ3C5JAWYPT3MG}

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	2026-05-18T03:39:17.059869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b070dd112525e6e762ea416c3e7b619f85cd569429ecc6d2f2e157f3761381

Aliases

arxiv: 0903.1773 · arxiv_version: 0903.1773v4 · doi: 10.48550/arxiv.0903.1773 · pith_short_12: WGYHBXIREUS6 · pith_short_16: WGYHBXIREUS6NZ3C · pith_short_8: WGYHBXIR

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/WGYHBXIREUS6NZ3C5JAWYPT3MG \
  | 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: b1b070dd112525e6e762ea416c3e7b619f85cd569429ecc6d2f2e157f3761381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06cf1da21a596981be400a3f4142c91b767a2f5cbf08b40eb96d93e28a7a9b79",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-03-10T18:01:16Z",
    "title_canon_sha256": "2e2b94449478c6d6d2d196d045595fe5c7327fb89e2389ff0b18c7b58526f00b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1773",
    "kind": "arxiv",
    "version": 4
  }
}