Pith Number

pith:WSZNG4B4

pith:2020:WSZNG4B4QYDJNTF5GZYPIQJ4NT

not attested not anchored not stored refs pending

Gluck twist and unknotting of satellite $2$-knots

Seungwon Kim

arxiv:2009.07353 v2 · 2020-09-15 · 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{WSZNG4B4QYDJNTF5GZYPIQJ4NT}

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.

Cited by

1 paper in Pith

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres

Receipt and verification

First computed	2026-07-05T01:45:45.067300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4b2d3703c860696ccbd3670f4413c6cdb6e10f72399ff0d48ee741e26d6ab76

Aliases

arxiv: 2009.07353 · arxiv_version: 2009.07353v2 · doi: 10.48550/arxiv.2009.07353 · pith_short_12: WSZNG4B4QYDJ · pith_short_16: WSZNG4B4QYDJNTF5 · pith_short_8: WSZNG4B4

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/WSZNG4B4QYDJNTF5GZYPIQJ4NT \
  | 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: b4b2d3703c860696ccbd3670f4413c6cdb6e10f72399ff0d48ee741e26d6ab76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60c3aeea7d672dc1c41c6dc50a621bb86bd48ad3d50e2f22416f358e6975699",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-09-15T21:13:24Z",
    "title_canon_sha256": "769135a568c823fcacf7b71f530d999810f71be4eb5555a503a3bd7739eb6318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07353",
    "kind": "arxiv",
    "version": 2
  }
}