Pith Number

pith:A5RHH5SE

pith:2022:A5RHH5SEXQZLWYEJAVB7ADJRAG

not attested not anchored not stored refs pending

Handlebody decompositions of 3-manifolds and polycontinuous patterns

Kai Ishihara, Koya Shimokawa, Makoto Ozawa, Masaki Ogawa, Naoki Sakata, Ryosuke Mishina, Yuya Koda

arxiv:2201.11420 v1 · 2022-01-27 · 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{A5RHH5SEXQZLWYEJAVB7ADJRAG}

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	2026-07-05T06:55:20.490446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

076273f644bc32bb60890543f00d3101a602d5b3322aa4dcffd985e399074259

Aliases

arxiv: 2201.11420 · arxiv_version: 2201.11420v1 · doi: 10.48550/arxiv.2201.11420 · pith_short_12: A5RHH5SEXQZL · pith_short_16: A5RHH5SEXQZLWYEJ · pith_short_8: A5RHH5SE

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/A5RHH5SEXQZLWYEJAVB7ADJRAG \
  | 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: 076273f644bc32bb60890543f00d3101a602d5b3322aa4dcffd985e399074259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407f7463e36a19a12e254df8c39c38ab85992ddd9aef1b8fa1f163bc2b4f48a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-01-27T10:15:43Z",
    "title_canon_sha256": "4b4fa9cabca26224487164e38aa41880b7b4d2ad89e68f78e2c03cd927ede594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11420",
    "kind": "arxiv",
    "version": 1
  }
}