Pith Number

pith:3RBLJYHP

pith:2018:3RBLJYHPGHDMMEWPE6WYPF42W5

not attested not anchored not stored refs pending

The second eigenvalue of some normal Cayley graphs of high transitive groups

Qiongxiang Huang, Sebastian M. Cioab\u{a}, Xueyi Huang

arxiv:1808.01118 v2 · 2018-08-03 · 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{3RBLJYHPGHDMMEWPE6WYPF42W5}

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	2026-05-18T00:08:53.485536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc42b4e0ef31c6c612cf27ad87979ab75c15731fb4b30d34a808ad2d9795987e

Aliases

arxiv: 1808.01118 · arxiv_version: 1808.01118v2 · doi: 10.48550/arxiv.1808.01118 · pith_short_12: 3RBLJYHPGHDM · pith_short_16: 3RBLJYHPGHDMMEWP · pith_short_8: 3RBLJYHP

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/3RBLJYHPGHDMMEWPE6WYPF42W5 \
  | 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: dc42b4e0ef31c6c612cf27ad87979ab75c15731fb4b30d34a808ad2d9795987e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc4550939451a8223dfcabab4ccf4e90538b6ef12f05b481f28059aeee248700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-03T08:35:41Z",
    "title_canon_sha256": "1454f597890642616c134ac09a5b306d14f8dbc1968655acb5b3e909052ed0d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01118",
    "kind": "arxiv",
    "version": 2
  }
}