Pith Number

pith:UKHGIMZB

pith:2016:UKHGIMZBVDKYYN4TKNA3WCETR2

not attested not anchored not stored refs pending

New Invariants of Knotoids

Louis H. Kauffman, Neslihan G\"ug\"umc\"u

arxiv:1602.03579 v3 · 2016-02-10 · 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{UKHGIMZBVDKYYN4TKNA3WCETR2}

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	2026-05-18T00:25:02.356144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28e643321a8d58c37935341bb08938e95bea626306289830775108a3da6bec5

Aliases

arxiv: 1602.03579 · arxiv_version: 1602.03579v3 · doi: 10.48550/arxiv.1602.03579 · pith_short_12: UKHGIMZBVDKY · pith_short_16: UKHGIMZBVDKYYN4T · pith_short_8: UKHGIMZB

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/UKHGIMZBVDKYYN4TKNA3WCETR2 \
  | 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: a28e643321a8d58c37935341bb08938e95bea626306289830775108a3da6bec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "956b327ad0dd91319dc84f4ae4216669730fccec81516c55982c4f9cbdf61239",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-10T23:51:06Z",
    "title_canon_sha256": "7f79d2231b39b80f7315d9181420221b8dbda47846334a3ff4b69222ac1926a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03579",
    "kind": "arxiv",
    "version": 3
  }
}