Pith Number

pith:GWS2CXJK

pith:2018:GWS2CXJKRNVE2OP2URMJBF7DLG

not attested not anchored not stored refs pending

A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots

Eiji Ogasa, Jonathan Schneider, Louis H. Kauffman

arxiv:1808.03023 v1 · 2018-08-09 · 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{GWS2CXJKRNVE2OP2URMJBF7DLG}

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	2026-05-18T00:08:30.408811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35a5a15d2a8b6a4d39faa4589097e359a1933a480f90c039ea66d4de2ab49a42

Aliases

arxiv: 1808.03023 · arxiv_version: 1808.03023v1 · doi: 10.48550/arxiv.1808.03023 · pith_short_12: GWS2CXJKRNVE · pith_short_16: GWS2CXJKRNVE2OP2 · pith_short_8: GWS2CXJK

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/GWS2CXJKRNVE2OP2URMJBF7DLG \
  | 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: 35a5a15d2a8b6a4d39faa4589097e359a1933a480f90c039ea66d4de2ab49a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0516d35f7398c4caa6ed95d92d66ecb0e9f0a6d32a1b7fd312ecc3f8d8075563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-09T05:28:43Z",
    "title_canon_sha256": "2da969b0a9d6c5989d5da71067e729e7b8838b8748dc4e150f582ebd1064c4af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03023",
    "kind": "arxiv",
    "version": 1
  }
}