pith. sign in
Pith Number

pith:CDYVZTA3

pith:2012:CDYVZTA3MTWOKSJTW5FVIS6KB4
not attested not anchored not stored refs pending

Three variable exponential functions of the alternating group

Ji\v{r}\'i Hrivn\'ak, Ji\v{r}\'i Patera, Severin Po\v{s}ta

arxiv:1202.0490 v1 · 2012-02-02 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CDYVZTA3MTWOKSJTW5FVIS6KB4}

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 2026-05-18T04:03:18.047031Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

10f15ccc1b64ece54933b74b544bca0f293e1d9bd2195228da5cae80bbc6dd3b

Aliases

arxiv: 1202.0490 · arxiv_version: 1202.0490v1 · doi: 10.48550/arxiv.1202.0490 · pith_short_12: CDYVZTA3MTWO · pith_short_16: CDYVZTA3MTWOKSJT · pith_short_8: CDYVZTA3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CDYVZTA3MTWOKSJTW5FVIS6KB4 \
  | 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: 10f15ccc1b64ece54933b74b544bca0f293e1d9bd2195228da5cae80bbc6dd3b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "90e38919d9f1058496a6f60e242ec4af4361c23c52977605a53a719f0d969a2a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-02T17:09:45Z",
    "title_canon_sha256": "76464bd21a1ca3046090ddcc25952aab6f63baf65e23c0e7ae12a44dcc4ad73f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0490",
    "kind": "arxiv",
    "version": 1
  }
}