Pith Number

pith:2QUXFWBI

pith:2026:2QUXFWBIGTD2UK6B2KCM5S5YAE

not attested not anchored not stored refs pending

Relativization of symmetries on quandles

Tomoki Yoshida, Yuki Imamura

arxiv:2607.02204 v1 · 2026-07-02 · 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{2QUXFWBIGTD2UK6B2KCM5S5YAE}

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	2026-07-03T01:17:45.050070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42972d82834c7aa2bc1d284cecbb8010d83bdaad3bd179edc08bd49a27771d5

Aliases

arxiv: 2607.02204 · arxiv_version: 2607.02204v1 · doi: 10.48550/arxiv.2607.02204 · pith_short_12: 2QUXFWBIGTD2 · pith_short_16: 2QUXFWBIGTD2UK6B · pith_short_8: 2QUXFWBI

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/2QUXFWBIGTD2UK6B2KCM5S5YAE \
  | 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: d42972d82834c7aa2bc1d284cecbb8010d83bdaad3bd179edc08bd49a27771d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d71dda8b133988d9e54dc403a5f0ad2eb99cb2e0d7dc7395d7db2b5e9d19f9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-02T14:12:03Z",
    "title_canon_sha256": "95aa7e304feb04bafbb5505c53323a822df671a11dff97249b49ab60ca5c22c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02204",
    "kind": "arxiv",
    "version": 1
  }
}