Pith Number

pith:WNPWOQK4

pith:2020:WNPWOQK4GEP7PLV47EWL4EUNE6

not attested not anchored not stored refs pending

The purely cosmetic surgery conjecture is true for the Kinoshita-Terasaka and Conway knot families

Bryan Boehnke, Conan Gillis, Hanwen Liu, Shuhang Xue

arxiv:2009.00522 v1 · 2020-09-01 · 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{WNPWOQK4GEP7PLV47EWL4EUNE6}

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	2026-07-05T01:32:19.526266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35f67415c311ff7aebcf92cbe128d27ad85646af19672ef82b2bc475f9f22a4

Aliases

arxiv: 2009.00522 · arxiv_version: 2009.00522v1 · doi: 10.48550/arxiv.2009.00522 · pith_short_12: WNPWOQK4GEP7 · pith_short_16: WNPWOQK4GEP7PLV4 · pith_short_8: WNPWOQK4

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/WNPWOQK4GEP7PLV47EWL4EUNE6 \
  | 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: b35f67415c311ff7aebcf92cbe128d27ad85646af19672ef82b2bc475f9f22a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db4d1ea68c5f67e232ee80ee00a1fa533f7eccc1e980053718843596f7b0f1cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-09-01T15:47:46Z",
    "title_canon_sha256": "6fde5f7047f768e44856092eb59eda99cb329317ea88b56da8cdc2dfe3a3066b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.00522",
    "kind": "arxiv",
    "version": 1
  }
}