Pith Number

pith:RPZWHMTS

pith:2015:RPZWHMTSUK4KBEDDWIEHVVGCMA

not attested not anchored not stored refs pending

Rotational Virtual Knots and Quantum Link Invariants

Louis H. Kauffman

arxiv:1509.00578 v5 · 2015-09-02 · 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{RPZWHMTSUK4KBEDDWIEHVVGCMA}

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

A Fast, Strong, Topologically Meaningful and Fun Knot Invariant

Receipt and verification

First computed	2026-05-18T01:25:11.387027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bf363b272a2b8a09063b2087ad4c2600375d5c1d6bb9057814a17ba03c2da27

Aliases

arxiv: 1509.00578 · arxiv_version: 1509.00578v5 · doi: 10.48550/arxiv.1509.00578 · pith_short_12: RPZWHMTSUK4K · pith_short_16: RPZWHMTSUK4KBEDD · pith_short_8: RPZWHMTS

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/RPZWHMTSUK4KBEDDWIEHVVGCMA \
  | 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: 8bf363b272a2b8a09063b2087ad4c2600375d5c1d6bb9057814a17ba03c2da27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04ac1e19f25767d2f9acd9ccb281aa98d4cf4dede4793ae03049687b095d22e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-02T06:56:27Z",
    "title_canon_sha256": "20c42dfb2ac888fe0dafda95d0a466a5719cb62e74a8b7c85a54fff7b1059d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00578",
    "kind": "arxiv",
    "version": 5
  }
}