Pith Number

pith:VLLLACGS

pith:2025:VLLLACGS56W2LL67AP6KDS2CFY

not attested not anchored not stored refs pending

Beyond graph products and cactus groups: quandle products of groups

Anthony Genevois

arxiv:2505.09194 v1 · 2025-05-14 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLLLACGS56W2LL67AP6KDS2CFY}

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

Weak order on groups generated by involutions

Receipt and verification

First computed	2026-07-05T11:02:52.039066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad6b008d2efada5afdf03fca1cb422e3dc69ca1ba5d267f8549dd7c427631ce

Aliases

arxiv: 2505.09194 · arxiv_version: 2505.09194v1 · doi: 10.48550/arxiv.2505.09194 · pith_short_12: VLLLACGS56W2 · pith_short_16: VLLLACGS56W2LL67 · pith_short_8: VLLLACGS

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/VLLLACGS56W2LL67AP6KDS2CFY \
  | 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: aad6b008d2efada5afdf03fca1cb422e3dc69ca1ba5d267f8549dd7c427631ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb057683bba0930faeffd7bebf89e753a609fd83166d02ce1bd1316487a3bb0b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-14T06:55:57Z",
    "title_canon_sha256": "2bdfe35d74285c14d2588fadd2a790ca15f989970a40d5a4d9d342ffd12b27fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09194",
    "kind": "arxiv",
    "version": 1
  }
}