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Pith Number

pith:MXNUNXRS

pith:2017:MXNUNXRSDWB56WU3G3Y3WVJ4NZ
not attested not anchored not stored refs pending

Finding a cycle base of a permutation group

Ilia Ponomarenko, Mikhail Muzychuk

arxiv:1702.05292 v1 · 2017-02-17 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MXNUNXRSDWB56WU3G3Y3WVJ4NZ}

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 2026-05-18T00:50:32.122181Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

65db46de321d83df5a9b36f1bb553c6e56038d14d68fa4b13d31b67c902ff7ce

Aliases

arxiv: 1702.05292 · arxiv_version: 1702.05292v1 · doi: 10.48550/arxiv.1702.05292 · pith_short_12: MXNUNXRSDWB5 · pith_short_16: MXNUNXRSDWB56WU3 · pith_short_8: MXNUNXRS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MXNUNXRSDWB56WU3G3Y3WVJ4NZ \
  | 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: 65db46de321d83df5a9b36f1bb553c6e56038d14d68fa4b13d31b67c902ff7ce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8c2d4200066a697452c8a2cccf327168755e72db472527d00bcbcf4448a69a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-17T10:31:20Z",
    "title_canon_sha256": "3e043e28c2147dfc1f440d235c1f208d8365cecfa43140c1e4331083b7d3bf39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05292",
    "kind": "arxiv",
    "version": 1
  }
}