Pith Number

pith:TXWSXKCM

pith:2008:TXWSXKCMDDMQ476GVPNQ2NF4GL

not attested not anchored not stored refs pending

Perturbed Floer Homology of some fibered three manifolds

Zhongtao Wu

arxiv:0809.4697 v1 · 2008-09-26 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXWSXKCMDDMQ476GVPNQ2NF4GL}

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	2026-05-18T02:41:51.482405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ded2ba84c18d90e7fc6abdb0d34bc32c7f5ddaf9d756c454c97a31de572b317

Aliases

arxiv: 0809.4697 · arxiv_version: 0809.4697v1 · doi: 10.48550/arxiv.0809.4697 · pith_short_12: TXWSXKCMDDMQ · pith_short_16: TXWSXKCMDDMQ476G · pith_short_8: TXWSXKCM

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/TXWSXKCMDDMQ476GVPNQ2NF4GL \
  | 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: 9ded2ba84c18d90e7fc6abdb0d34bc32c7f5ddaf9d756c454c97a31de572b317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4233da6b68c4f280bec4927062566e52c2fc0d8ddec7120694707c9abb039d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-09-26T19:25:18Z",
    "title_canon_sha256": "fb94ef4f04b4bef62754bd5a999fa7e02a675b7c08a18ed2fcbe333c6ad8087b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4697",
    "kind": "arxiv",
    "version": 1
  }
}