Pith Number

pith:YY7XC5UH

pith:2017:YY7XC5UHBTU4KF3RM5LF5IRJG7

not attested not anchored not stored refs pending

The Replacement Property of PSL$(2,p)$ and PSL$(2,p^2)$

Hy P.G Lam

arxiv:1709.08745 v1 · 2017-09-25 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YY7XC5UHBTU4KF3RM5LF5IRJG7}

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.

Cited by

1 paper in Pith

On the Replacement Property for PSL(2, p)

Receipt and verification

First computed	2026-05-18T00:34:21.977227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c63f7176870ce9c5177167565ea22937ded4fda9d5eb2cdaedda2b85432ce0c9

Aliases

arxiv: 1709.08745 · arxiv_version: 1709.08745v1 · doi: 10.48550/arxiv.1709.08745 · pith_short_12: YY7XC5UHBTU4 · pith_short_16: YY7XC5UHBTU4KF3R · pith_short_8: YY7XC5UH

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/YY7XC5UHBTU4KF3RM5LF5IRJG7 \
  | 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: c63f7176870ce9c5177167565ea22937ded4fda9d5eb2cdaedda2b85432ce0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9042fa98609e84fef56a762910f6c91e293b190d11eb277b99cad7110b62d797",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-25T23:01:15Z",
    "title_canon_sha256": "3a05d5cc0e881327d915f80901153d8507a68caac31452b76e6b60c82ad2af20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08745",
    "kind": "arxiv",
    "version": 1
  }
}