Pith Number

pith:LCMUWF7X

pith:2010:LCMUWF7XAWGWE77DX5BIGZLKH6

not attested not anchored not stored refs pending

Automorphism groups of rational circulant graphs through the use of Schur rings

Istv\'an Kov\'acs, Mikhail Klin

arxiv:1008.0751 v1 · 2010-08-04 · 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{LCMUWF7XAWGWE77DX5BIGZLKH6}

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	2026-05-18T04:42:35.706052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58994b17f7058d627fe3bf4283656a3fa6d26da306520669b3fef2dde98feebe

Aliases

arxiv: 1008.0751 · arxiv_version: 1008.0751v1 · doi: 10.48550/arxiv.1008.0751 · pith_short_12: LCMUWF7XAWGW · pith_short_16: LCMUWF7XAWGWE77D · pith_short_8: LCMUWF7X

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/LCMUWF7XAWGWE77DX5BIGZLKH6 \
  | 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: 58994b17f7058d627fe3bf4283656a3fa6d26da306520669b3fef2dde98feebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef95f25cb8268eb7f5ba60b159fb24f72b826d813a3c56bb1de97c21cc1dae94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-04T11:36:29Z",
    "title_canon_sha256": "07fc52c3bac4621afe508f56c44b346fc466ac24ed92b7322c3e2efa84e30d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0751",
    "kind": "arxiv",
    "version": 1
  }
}