Pith Number

pith:I4A7IB76

pith:2012:I4A7IB762KRUZHOA74HTXQ2M2T

not attested not anchored not stored refs pending

Automorphism groups of Cayley graphs generated by connected transposition sets

Ashwin Ganesan

arxiv:1205.5199 v4 · 2012-05-23 · cs.DM · 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{I4A7IB762KRUZHOA74HTXQ2M2T}

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	2026-05-18T01:24:38.877112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4701f407fed2a34c9dc0ff0f3bc34cd4ceaa476dd89ef8a344b405b699cb7ccd

Aliases

arxiv: 1205.5199 · arxiv_version: 1205.5199v4 · doi: 10.48550/arxiv.1205.5199 · pith_short_12: I4A7IB762KRU · pith_short_16: I4A7IB762KRUZHOA · pith_short_8: I4A7IB76

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/I4A7IB762KRUZHOA74HTXQ2M2T \
  | 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: 4701f407fed2a34c9dc0ff0f3bc34cd4ceaa476dd89ef8a344b405b699cb7ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0ef23d028acb39f940148de93b6af315fa9282c6c214ff94dc88938c5da3b9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-05-23T15:20:17Z",
    "title_canon_sha256": "58caee5a28636d69480afda3d5cac5ec360c4c964605b00134e3a5e6e46f5c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5199",
    "kind": "arxiv",
    "version": 4
  }
}