Pith Number

pith:726ELECX

pith:2010:726ELECX2FM4JROTOWDVOJAU6A

not attested not anchored not stored refs pending

Bordered Floer homology and the spectral sequence of a branched double cover I

Dylan P. Thurston, Peter S. Ozsv\'ath, Robert Lipshitz

arxiv:1011.0499 v2 · 2010-11-02 · math.GT · 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{726ELECX2FM4JROTOWDVOJAU6A}

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.

Cited by

1 paper in Pith

Real bordered Floer homology

Receipt and verification

First computed	2026-05-18T01:23:10.793073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febc459057d159c4c5d37587572414f02711b55803b3b60f1036b808b1e2f41c

Aliases

arxiv: 1011.0499 · arxiv_version: 1011.0499v2 · doi: 10.48550/arxiv.1011.0499 · pith_short_12: 726ELECX2FM4 · pith_short_16: 726ELECX2FM4JROT · pith_short_8: 726ELECX

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/726ELECX2FM4JROTOWDVOJAU6A \
  | 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: febc459057d159c4c5d37587572414f02711b55803b3b60f1036b808b1e2f41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac00a8297e7f93d8b60661a5081404205454e2040a4a9be55c79e8fd90c0fc7",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-02T01:46:02Z",
    "title_canon_sha256": "8ef236573f95889396e8ea4306caa6183337cda15b51f2780a631919eec44ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0499",
    "kind": "arxiv",
    "version": 2
  }
}