Pith Number

pith:XKUZW6CW

pith:2024:XKUZW6CWMWD3UNP23J43XRUHDQ

not attested not anchored not stored refs pending

Characterizations of knot groups and knot symmetric quandles of surface-links

Jumpei Yasuda

arxiv:2412.20081 v2 · 2024-12-28 · 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{XKUZW6CWMWD3UNP23J43XRUHDQ}

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

Associated groups of symmetric quandles

Receipt and verification

First computed	2026-07-05T10:18:12.020011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa99b78566587ba35fada79bbc6871c1cbe3ca4979b3f58877ca43ca172140f

Aliases

arxiv: 2412.20081 · arxiv_version: 2412.20081v2 · doi: 10.48550/arxiv.2412.20081 · pith_short_12: XKUZW6CWMWD3 · pith_short_16: XKUZW6CWMWD3UNP2 · pith_short_8: XKUZW6CW

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/XKUZW6CWMWD3UNP23J43XRUHDQ \
  | 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: baa99b78566587ba35fada79bbc6871c1cbe3ca4979b3f58877ca43ca172140f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3721f04ea1eeb25aaff2a1c041348410a0b9b1e0be2b5e1ac602172824d92aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-12-28T08:42:45Z",
    "title_canon_sha256": "44a385c23aa83f7b63fbbb8fce63526cac35100e8459251f732bc11b38be8282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20081",
    "kind": "arxiv",
    "version": 2
  }
}