Pith Number

pith:X2AL7RGI

pith:2016:X2AL7RGINGZRM2ADFHDLW5YN7L

not attested not anchored not stored refs pending

On the Kauffman-Jones polynomial for virtual singular links

Carmen Caprau, Kelsey Friesen

arxiv:1610.02691 v2 · 2016-10-09 · 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{X2AL7RGINGZRM2ADFHDLW5YN7L}

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	2026-05-17T23:44:33.150576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be80bfc4c869b316680329c6bb770dfaf5fcb3e939fd5b8cc4cc49b41b5df1e9

Aliases

arxiv: 1610.02691 · arxiv_version: 1610.02691v2 · doi: 10.48550/arxiv.1610.02691 · pith_short_12: X2AL7RGINGZR · pith_short_16: X2AL7RGINGZRM2AD · pith_short_8: X2AL7RGI

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/X2AL7RGINGZRM2ADFHDLW5YN7L \
  | 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: be80bfc4c869b316680329c6bb770dfaf5fcb3e939fd5b8cc4cc49b41b5df1e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda592271886a2c2e7dcbe713b985814121b16809dd064db9eb845b34e48639b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-09T16:24:13Z",
    "title_canon_sha256": "211a1ec471114d5df066cc61370846a34ba4b4d59ae4dccc02c33580c6432d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02691",
    "kind": "arxiv",
    "version": 2
  }
}