Pith Number

pith:L6WHMQPN

pith:2012:L6WHMQPN5H5W6ZNBM6KJRNUNLW

not attested not anchored not stored refs pending

Keeler's theorem and products of distinct transpositions

Lihua Huang, Ron Evans, Tuan Nguyen

arxiv:1204.6086 v2 · 2012-04-26 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6WHMQPN5H5W6ZNBM6KJRNUNLW}

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	2026-05-18T02:58:46.728789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fac7641ede9fb6f65a1679498b68d5d88ca8bb09619ad7c2abdcffe4b45556c

Aliases

arxiv: 1204.6086 · arxiv_version: 1204.6086v2 · doi: 10.48550/arxiv.1204.6086 · pith_short_12: L6WHMQPN5H5W · pith_short_16: L6WHMQPN5H5W6ZNB · pith_short_8: L6WHMQPN

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/L6WHMQPN5H5W6ZNBM6KJRNUNLW \
  | 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: 5fac7641ede9fb6f65a1679498b68d5d88ca8bb09619ad7c2abdcffe4b45556c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0fada18a93cf7c067d18869d7f565f97c7e394c54b8f282294e170276adbdf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-26T23:51:47Z",
    "title_canon_sha256": "adad17c7f973be03d98bf24dbc3cc086b0901edfa468efbd5d85f8c666db853a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6086",
    "kind": "arxiv",
    "version": 2
  }
}