Pith Number

pith:GHQMZI7X

pith:2018:GHQMZI7XDY5MJNW4KCBRCAUHZO

not attested not anchored not stored refs pending

Two more proofs that the Kinoshita graph is knotted

Makoto Ozawa, Scott A. Taylor

arxiv:1803.05474 v2 · 2018-03-14 · 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{GHQMZI7XDY5MJNW4KCBRCAUHZO}

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	2026-05-18T00:02:53.288248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e0cca3f71e3ac4b6dc5083110287cb980171745e2f954c1cd14158468ae599

Aliases

arxiv: 1803.05474 · arxiv_version: 1803.05474v2 · doi: 10.48550/arxiv.1803.05474 · pith_short_12: GHQMZI7XDY5M · pith_short_16: GHQMZI7XDY5MJNW4 · pith_short_8: GHQMZI7X

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/GHQMZI7XDY5MJNW4KCBRCAUHZO \
  | 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: 31e0cca3f71e3ac4b6dc5083110287cb980171745e2f954c1cd14158468ae599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b3f45cc3f40487f01f0b8aa18f37c20379e33d71ff7a27f62943cc3046c0bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-14T18:57:30Z",
    "title_canon_sha256": "21ada5971a36a9890612414d1b57c94b7c81a481dd073856ef72082c5f95ec4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05474",
    "kind": "arxiv",
    "version": 2
  }
}