Pith Number

pith:XUDTSNY5

pith:2014:XUDTSNY5XHYEFCG7PF3KGW2LML

not attested not anchored not stored refs pending

Automorphism group of the complete transposition graph

Ashwin Ganesan

arxiv:1404.7363 v1 · 2014-04-27 · 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{XUDTSNY5XHYEFCG7PF3KGW2LML}

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	2026-05-18T01:24:38.700788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd0739371db9f04288df7976a35b4b62ed7407df35ae3ddc9ba88f4bb2a43ff9

Aliases

arxiv: 1404.7363 · arxiv_version: 1404.7363v1 · doi: 10.48550/arxiv.1404.7363 · pith_short_12: XUDTSNY5XHYE · pith_short_16: XUDTSNY5XHYEFCG7 · pith_short_8: XUDTSNY5

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/XUDTSNY5XHYEFCG7PF3KGW2LML \
  | 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: bd0739371db9f04288df7976a35b4b62ed7407df35ae3ddc9ba88f4bb2a43ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d25abb4dfe2d4162cb56fcb221e2a4360ec6d4ef41923af2ea597f00c58b7ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-27T01:26:57Z",
    "title_canon_sha256": "4121d14992f6dec9cde1afd39f66525a662ebd5d8629ce3df898da22d7cfcdf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7363",
    "kind": "arxiv",
    "version": 1
  }
}