Pith Number

pith:SEDU2F6A

pith:2010:SEDU2F6AFN5QOJPT6JH7LOC7EB

not attested not anchored not stored refs pending

Computing HF^ by factoring mapping classes

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

arxiv:1010.2550 v4 · 2010-10-13 · 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{SEDU2F6AFN5QOJPT6JH7LOC7EB}

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	2026-05-18T02:27:49.877792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91074d17c02b7b0725f3f24ff5b85f204d33e7e36ec28dd3c5ee60d3140b13d3

Aliases

arxiv: 1010.2550 · arxiv_version: 1010.2550v4 · doi: 10.48550/arxiv.1010.2550 · pith_short_12: SEDU2F6AFN5Q · pith_short_16: SEDU2F6AFN5QOJPT · pith_short_8: SEDU2F6A

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/SEDU2F6AFN5QOJPT6JH7LOC7EB \
  | 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: 91074d17c02b7b0725f3f24ff5b85f204d33e7e36ec28dd3c5ee60d3140b13d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afe367fdbade2365905bbb1b5af50efad880993d543ccb96cab044d0e8fca3c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-13T00:23:42Z",
    "title_canon_sha256": "8ea9eca95f8200e4821e688153afcba5e48bbfddf701beb67143b70190791dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2550",
    "kind": "arxiv",
    "version": 4
  }
}