Pith Number

pith:WTHBXWIN

pith:2025:WTHBXWIN22YXVJXERU3RHK353X

not attested not anchored not stored refs pending

On symmetry and exterior problems of knotted handlebodies

Makoto Ozawa, Yi-Sheng Wang, Yuya Koda

arxiv:2506.06713 v1 · 2025-06-07 · 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{WTHBXWIN22YXVJXERU3RHK353X}

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	2026-07-05T11:17:54.530037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ce1bd90dd6b17aa6e48d3713ab7dddfca741e93b009104439a3099b3ae53d1

Aliases

arxiv: 2506.06713 · arxiv_version: 2506.06713v1 · doi: 10.48550/arxiv.2506.06713 · pith_short_12: WTHBXWIN22YX · pith_short_16: WTHBXWIN22YXVJXE · pith_short_8: WTHBXWIN

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/WTHBXWIN22YXVJXERU3RHK353X \
  | 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: b4ce1bd90dd6b17aa6e48d3713ab7dddfca741e93b009104439a3099b3ae53d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dde8cb85b7ef728e0d977d5eb33bbe920daae72aec9514fdbf225dbad4858c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-07T08:38:46Z",
    "title_canon_sha256": "fa8a99b41ee78181c6f40ccb9cf48baeca4e5cda8e9793985f0fe95a0e222e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06713",
    "kind": "arxiv",
    "version": 1
  }
}