Pith Number

pith:6DJVNJWC

pith:2018:6DJVNJWC4SUUIH2GKHOWRVUPMH

not attested not anchored not stored refs pending

Permutations with orders coprime to a given integer

Cheryl E. Praeger, John Bamberg, Scott Harper, S. P. Glasby

arxiv:1807.10450 v2 · 2018-07-27 · 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{6DJVNJWC4SUUIH2GKHOWRVUPMH}

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	2026-05-17T23:48:17.231252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d356a6c2e4a9441f4651dd68d68f61df2053926ca57f9481c826ae45619635

Aliases

arxiv: 1807.10450 · arxiv_version: 1807.10450v2 · doi: 10.48550/arxiv.1807.10450 · pith_short_12: 6DJVNJWC4SUU · pith_short_16: 6DJVNJWC4SUUIH2G · pith_short_8: 6DJVNJWC

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/6DJVNJWC4SUUIH2GKHOWRVUPMH \
  | 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: f0d356a6c2e4a9441f4651dd68d68f61df2053926ca57f9481c826ae45619635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05164db87275bd082c66c356a08fd0f2115d83166062f9986101297f7554093f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-27T06:14:47Z",
    "title_canon_sha256": "1da7b2057c7273f4e626fc3d466f2ca66636cb921d8c144405e83adf6856ebd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10450",
    "kind": "arxiv",
    "version": 2
  }
}