Pith Number

pith:FSGDFFGP

pith:2012:FSGDFFGPST3W7UB3REPKSUNRAZ

not attested not anchored not stored refs pending

Identifying long cycles in finite alternating and symmetric groups acting on subsets

Alice C. Niemeyer, Cheryl E. Praeger, Steve Linton

arxiv:1205.6586 v3 · 2012-05-30 · math.GR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSGDFFGPST3W7UB3REPKSUNRAZ}

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	2026-05-18T02:17:01.706831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c8c3294cf94f76fd03b891ea951b1067a0be3a797a436e8f559e4bb420fd5f0

Aliases

arxiv: 1205.6586 · arxiv_version: 1205.6586v3 · doi: 10.48550/arxiv.1205.6586 · pith_short_12: FSGDFFGPST3W · pith_short_16: FSGDFFGPST3W7UB3 · pith_short_8: FSGDFFGP

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/FSGDFFGPST3W7UB3REPKSUNRAZ \
  | 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: 2c8c3294cf94f76fd03b891ea951b1067a0be3a797a436e8f559e4bb420fd5f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd676d2cad7b236d723da77642910d946b202acb5d4f95b9b10812be98c17767",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-30T08:48:56Z",
    "title_canon_sha256": "efb572090d62e9ee3a21ceb143f86f67f0bd368733ea1c5b7a534b0cdb855997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6586",
    "kind": "arxiv",
    "version": 3
  }
}