Pith Number

pith:U4UKA2JH

pith:2013:U4UKA2JHN3IDYIYPQ4YYPPZB6W

not attested not anchored not stored refs pending

Automorphisms of Cayley graphs generated by transposition sets

Ashwin Ganesan

arxiv:1303.5974 v2 · 2013-03-24 · 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{U4UKA2JHN3IDYIYPQ4YYPPZB6W}

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	2026-05-18T03:20:47.902727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a728a069276ed03c230f873187bf21f591442114600f4b6da2becc3c75b71447

Aliases

arxiv: 1303.5974 · arxiv_version: 1303.5974v2 · doi: 10.48550/arxiv.1303.5974 · pith_short_12: U4UKA2JHN3ID · pith_short_16: U4UKA2JHN3IDYIYP · pith_short_8: U4UKA2JH

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/U4UKA2JHN3IDYIYPQ4YYPPZB6W \
  | 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: a728a069276ed03c230f873187bf21f591442114600f4b6da2becc3c75b71447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ef409d9ac1b4e8f4b70c87b96a8c56127a65b2d8c24cd7092612b70b992bed",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-03-24T18:25:38Z",
    "title_canon_sha256": "35cb13f0ed76bd189da4928e33cf2b5a09fd753e1fc3a50578787427a49ba7d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5974",
    "kind": "arxiv",
    "version": 2
  }
}