Pith Number

pith:HUPKT6VS

pith:2025:HUPKT6VSJVFPB5UG2OQ3JYMNXA

not attested not anchored not stored refs pending

Associated groups of symmetric quandles

Kakeru Shikata, Toshiyuki Akita

arxiv:2505.23507 v4 · 2025-05-29 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUPKT6VSJVFPB5UG2OQ3JYMNXA}

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	2026-07-05T11:51:27.819041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1ea9fab24d4af0f686d3a1b4e18db80a70a3ac94f8dde4c96adb166e59ae48

Aliases

arxiv: 2505.23507 · arxiv_version: 2505.23507v4 · doi: 10.48550/arxiv.2505.23507 · pith_short_12: HUPKT6VSJVFP · pith_short_16: HUPKT6VSJVFPB5UG · pith_short_8: HUPKT6VS

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/HUPKT6VSJVFPB5UG2OQ3JYMNXA \
  | 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: 3d1ea9fab24d4af0f686d3a1b4e18db80a70a3ac94f8dde4c96adb166e59ae48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9a94f5a238604ee033291b0402d93e91d06d1ccee66466988150a7307f9463",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-29T14:51:42Z",
    "title_canon_sha256": "bf172aa6e975030907aab43b42297cdb177c84e42d7b3a33b67c8d4538cc643c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23507",
    "kind": "arxiv",
    "version": 4
  }
}