Pith Number

pith:DWVL2QDA

pith:2025:DWVL2QDASUZPUCVSRSTQILRQPC

not attested not anchored not stored refs pending

Burnside rings for racks and quandles

Markus Szymik, Nadia Mazza

arxiv:2507.01425 v1 · 2025-07-02 · math.RT · math.AT · math.GN · math.GR · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWVL2QDASUZPUCVSRSTQILRQPC}

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	2026-07-05T11:30:48.561335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1daabd40609532fa0ab28ca7042e3078a7fbcfb35d8b50986293e2d4886ca34a

Aliases

arxiv: 2507.01425 · arxiv_version: 2507.01425v1 · doi: 10.48550/arxiv.2507.01425 · pith_short_12: DWVL2QDASUZP · pith_short_16: DWVL2QDASUZPUCVS · pith_short_8: DWVL2QDA

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/DWVL2QDASUZPUCVSRSTQILRQPC \
  | 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: 1daabd40609532fa0ab28ca7042e3078a7fbcfb35d8b50986293e2d4886ca34a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9fba009fe230570bd4348aeb73c5656f92967c8135dce1fe22c11727a11571",
    "cross_cats_sorted": [
      "math.AT",
      "math.GN",
      "math.GR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-02T07:25:01Z",
    "title_canon_sha256": "a94d5634e4113fa03807a162fb191f4d58577f1862b207251c7cf028243d5955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01425",
    "kind": "arxiv",
    "version": 1
  }
}