Pith Number

pith:XKLBYUAG

pith:2018:XKLBYUAGDLAFMLF2IJCMQUZ5WH

not attested not anchored not stored refs pending

Heegaard Floer homology for manifolds with torus boundary: properties and examples

Jacob Rasmussen, Jonathan Hanselman, Liam Watson

arxiv:1810.10355 v1 · 2018-10-22 · 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{XKLBYUAGDLAFMLF2IJCMQUZ5WH}

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	2026-05-18T00:02:23.412298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba961c50061ac0562cba4244c8533db1c5a9db2b1bbfe61a787f0a4371cc9f2a

Aliases

arxiv: 1810.10355 · arxiv_version: 1810.10355v1 · doi: 10.48550/arxiv.1810.10355 · pith_short_12: XKLBYUAGDLAF · pith_short_16: XKLBYUAGDLAFMLF2 · pith_short_8: XKLBYUAG

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/XKLBYUAGDLAFMLF2IJCMQUZ5WH \
  | 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: ba961c50061ac0562cba4244c8533db1c5a9db2b1bbfe61a787f0a4371cc9f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61fd484ec89a7bc955fe4259af202211f2a719acffc1497dd61af32f65afe80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-22T21:15:39Z",
    "title_canon_sha256": "2fef8a219244de1048d002bd7112355d560392a08dbdf9c047f7553ff42371be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10355",
    "kind": "arxiv",
    "version": 1
  }
}