Pith Number

pith:Q5S5K3YE

pith:2018:Q5S5K3YET4BXMZO2BLYSALIO3C

not attested not anchored not stored refs pending

Decomposing Heegaard splittings along separating incompressible surfaces in 3-manifolds

J. Hyam Rubinstein, Kazuhiro Ichihara, Makoto Ozawa

arxiv:1803.09023 v1 · 2018-03-24 · 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{Q5S5K3YET4BXMZO2BLYSALIO3C}

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	2026-05-18T00:20:12.896733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8765d56f049f037665da0af1202d0ed8b272b0ceb4d4f8ef22b0d83e64f56766

Aliases

arxiv: 1803.09023 · arxiv_version: 1803.09023v1 · doi: 10.48550/arxiv.1803.09023 · pith_short_12: Q5S5K3YET4BX · pith_short_16: Q5S5K3YET4BXMZO2 · pith_short_8: Q5S5K3YE

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/Q5S5K3YET4BXMZO2BLYSALIO3C \
  | 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: 8765d56f049f037665da0af1202d0ed8b272b0ceb4d4f8ef22b0d83e64f56766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071302bb0a1e3935700a93549c42b9dc71925dbf34dd77762009810e5d1c35e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-24T00:53:42Z",
    "title_canon_sha256": "4c4bc640b7b7050dbe79d15469a9ef4459dbb68bf505716f58fcc8dd760599d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09023",
    "kind": "arxiv",
    "version": 1
  }
}