Pith Number

pith:S7BM7JMH

pith:2022:S7BM7JMHAIWCS4KCY7TVPKOZ56

not attested not anchored not stored refs pending

Topology of Vortex Reconnection

Louis H. Kauffman

arxiv:2206.03056 v2 · 2022-06-07 · 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{S7BM7JMHAIWCS4KCY7TVPKOZ56}

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

Fusion and Fission of Particle-like Chiral Nematic Vortex Knots

Receipt and verification

First computed	2026-07-05T04:38:52.835166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c2cfa587022c297142c7e757a9d9efb9f241976674d89e12f6b6b8669c9ddc

Aliases

arxiv: 2206.03056 · arxiv_version: 2206.03056v2 · doi: 10.48550/arxiv.2206.03056 · pith_short_12: S7BM7JMHAIWC · pith_short_16: S7BM7JMHAIWCS4KC · pith_short_8: S7BM7JMH

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/S7BM7JMHAIWCS4KCY7TVPKOZ56 \
  | 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: 97c2cfa587022c297142c7e757a9d9efb9f241976674d89e12f6b6b8669c9ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5528f7b1e3c5a4d701a14e8df38aa72c6ff761fcf015f8b57c5d3e214eb320",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-06-07T07:15:38Z",
    "title_canon_sha256": "42c861c9841915c0ed01aff3634f460bbdd677253904e6742be03a9dc2705679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.03056",
    "kind": "arxiv",
    "version": 2
  }
}