Pith Number

pith:PXJWYSDZ

pith:2024:PXJWYSDZ5QFA4YJJNLD2NP7YNN

not attested not anchored not stored refs pending

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups

Kritsada Sangkhanan, Utsithon Chaichompoo

arxiv:2411.15081 v1 · 2024-11-22 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXJWYSDZ5QFA4YJJNLD2NP7YNN}

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	2026-07-05T09:39:16.072335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd36c4879ec0a0e61296ac7a6bff86b6e8b836546f6ad5b4909c95b03e08022

Aliases

arxiv: 2411.15081 · arxiv_version: 2411.15081v1 · doi: 10.48550/arxiv.2411.15081 · pith_short_12: PXJWYSDZ5QFA · pith_short_16: PXJWYSDZ5QFA4YJJ · pith_short_8: PXJWYSDZ

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/PXJWYSDZ5QFA4YJJNLD2NP7YNN \
  | 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: 7dd36c4879ec0a0e61296ac7a6bff86b6e8b836546f6ad5b4909c95b03e08022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d2de3883643ad519c202d3cd0d3982ab2f3ebe670cccb6dbc5368c2c953c67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-11-22T17:17:54Z",
    "title_canon_sha256": "60aa90f6c3ce3be545286b7ca61f6145b8020170c5b95580663eeac33089fbc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15081",
    "kind": "arxiv",
    "version": 1
  }
}