Pith Number

pith:ICYZZNAY

pith:2017:ICYZZNAY3CBOV3XRG2TP7KZMWO

not attested not anchored not stored refs pending

Alternating and symmetric groups with Eulerian generating graph

Andrea Lucchini, Claude Marion

arxiv:1705.08202 v1 · 2017-05-23 · 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{ICYZZNAY3CBOV3XRG2TP7KZMWO}

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	2026-05-18T00:43:49.105409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40b19cb418d882eaeef136a6ffab2cb3bebdd9ff92d0e2e1770377010d8e36a2

Aliases

arxiv: 1705.08202 · arxiv_version: 1705.08202v1 · doi: 10.48550/arxiv.1705.08202 · pith_short_12: ICYZZNAY3CBO · pith_short_16: ICYZZNAY3CBOV3XR · pith_short_8: ICYZZNAY

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/ICYZZNAY3CBOV3XRG2TP7KZMWO \
  | 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: 40b19cb418d882eaeef136a6ffab2cb3bebdd9ff92d0e2e1770377010d8e36a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ac7e846cfd75c3243926acd96b10fe70967859adb585f8e2aac1802a4f8881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-23T12:16:29Z",
    "title_canon_sha256": "1af640c894b1cbb04efdc4948a199cefa0745fbd7714cb8e5f1311d7ce355cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08202",
    "kind": "arxiv",
    "version": 1
  }
}