Pith Number

pith:A5XHRTEY

pith:2016:A5XHRTEYSJQPWPFFBLVTVSYPLU

not attested not anchored not stored refs pending

Spectral properties of the Cayley Graphs of split metacyclic groups

Kashyap Rajeevsarathy, Pawan Kumar Aurora, Siddhartha Sarkar, S. Lakshmivarahan

arxiv:1609.06022 v3 · 2016-09-20 · 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{A5XHRTEYSJQPWPFFBLVTVSYPLU}

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	2026-05-18T00:16:39.112117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

076e78cc989260fb3ca50aeb3acb0f5d36fa29ec5c0777cdb063335816d656d7

Aliases

arxiv: 1609.06022 · arxiv_version: 1609.06022v3 · doi: 10.48550/arxiv.1609.06022 · pith_short_12: A5XHRTEYSJQP · pith_short_16: A5XHRTEYSJQPWPFF · pith_short_8: A5XHRTEY

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/A5XHRTEYSJQPWPFFBLVTVSYPLU \
  | 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: 076e78cc989260fb3ca50aeb3acb0f5d36fa29ec5c0777cdb063335816d656d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8031ebb355879d706ce2f153f803aacd6fda92512bdea5c0b4edf95823e3a48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-20T05:28:52Z",
    "title_canon_sha256": "1462fe702a023a763a2a20c4ec63d9728ab8fffced5e09a2cd2c80ce98ff2d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06022",
    "kind": "arxiv",
    "version": 3
  }
}