Pith Number

pith:4IWGGBD6

pith:2016:4IWGGBD63L3N2B2HCTHDK5QYGD

not attested not anchored not stored refs pending

An Involution on Involutions and a Generalization of Layered Permutations

Miklos Bona, Rebecca Smith

arxiv:1605.06158 v2 · 2016-05-19 · 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{4IWGGBD63L3N2B2HCTHDK5QYGD}

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	2026-05-17T23:49:28.249870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22c63047edaf6dd074714ce35761830d9735c696d561dcb1b3ae5d10ea0037d

Aliases

arxiv: 1605.06158 · arxiv_version: 1605.06158v2 · doi: 10.48550/arxiv.1605.06158 · pith_short_12: 4IWGGBD63L3N · pith_short_16: 4IWGGBD63L3N2B2H · pith_short_8: 4IWGGBD6

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/4IWGGBD63L3N2B2HCTHDK5QYGD \
  | 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: e22c63047edaf6dd074714ce35761830d9735c696d561dcb1b3ae5d10ea0037d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6f8d2cf32283f3e89ee40cc09d13867d00cda462513f4ccb66022fe88e80f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-19T21:55:29Z",
    "title_canon_sha256": "cb27a115090152e4b4501b5aa61f57a9916c22261f26a7f33b79bd32e9b364ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06158",
    "kind": "arxiv",
    "version": 2
  }
}