Pith Number

pith:33QYJ6US

pith:2017:33QYJ6USZXJNL2UPKSZ6BZCZPF

not attested not anchored not stored refs pending

A note on the automorphism groups of Johnson graphs

S. Morteza Mirafzal

arxiv:1702.02568 v4 · 2017-02-08 · math.CO · 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{33QYJ6USZXJNL2UPKSZ6BZCZPF}

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	2026-05-18T00:32:55.354982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee184fa92cdd2d5ea8f54b3e0e4597955a0156c46d3594aed5c6e3610104648

Aliases

arxiv: 1702.02568 · arxiv_version: 1702.02568v4 · doi: 10.48550/arxiv.1702.02568 · pith_short_12: 33QYJ6USZXJN · pith_short_16: 33QYJ6USZXJNL2UP · pith_short_8: 33QYJ6US

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/33QYJ6USZXJNL2UPKSZ6BZCZPF \
  | 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: dee184fa92cdd2d5ea8f54b3e0e4597955a0156c46d3594aed5c6e3610104648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0160829792c0216de4bdc3aac1907d809d3af35e2d7473b5659c8cfde3be4927",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-08T15:34:12Z",
    "title_canon_sha256": "fd30659c026111a2219967e5013cf9a183fd5b29272016d75b7675049239f8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02568",
    "kind": "arxiv",
    "version": 4
  }
}