Pith Number

pith:AQKJ5G3M

pith:2022:AQKJ5G3MMCYZOYMP3ERRP6CE6I

not attested not anchored not stored refs pending

The $(2,1)$-cable of the figure-eight knot is not smoothly slice

Abhishek Mallick, Irving Dai, Junghwan Park, Matthew Stoffregen, Sungkyung Kang

arxiv:2207.14187 v2 · 2022-07-28 · 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{AQKJ5G3MMCYZOYMP3ERRP6CE6I}

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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

Equivariant Q-sliceness of strongly invertible knots

Receipt and verification

First computed	2026-07-05T09:01:22.324096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04149e9b6c60b197618fd92317f844f23a5838c5cb8354fcbda68b0a8ef008d4

Aliases

arxiv: 2207.14187 · arxiv_version: 2207.14187v2 · doi: 10.48550/arxiv.2207.14187 · pith_short_12: AQKJ5G3MMCYZ · pith_short_16: AQKJ5G3MMCYZOYMP · pith_short_8: AQKJ5G3M

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/AQKJ5G3MMCYZOYMP3ERRP6CE6I \
  | 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: 04149e9b6c60b197618fd92317f844f23a5838c5cb8354fcbda68b0a8ef008d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a618cf831a92b399b548191f5e88b4860caad2759551a3c90d497a9d669d98ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-28T15:55:26Z",
    "title_canon_sha256": "5b34465aa8b4810c36c80b87cf4be4cb8a5a3c6fc7b975f2e540290d45a99086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.14187",
    "kind": "arxiv",
    "version": 2
  }
}