Pith Number

pith:O2QXEE7E

pith:2011:O2QXEE7EN4IF6TBLJDIZ5RV2XS

not attested not anchored not stored refs pending

Non-singular circulant graphs and digraphs

A. K. Lal, A.Satyanarayana Reddy

arxiv:1106.0809 v2 · 2011-06-04 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2QXEE7EN4IF6TBLJDIZ5RV2XS}

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	2026-05-18T04:02:13.581237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a17213e46f105f4c2b48d19ec6babca9c53cfc996a88c49088c29d318567a2

Aliases

arxiv: 1106.0809 · arxiv_version: 1106.0809v2 · doi: 10.48550/arxiv.1106.0809 · pith_short_12: O2QXEE7EN4IF · pith_short_16: O2QXEE7EN4IF6TBL · pith_short_8: O2QXEE7E

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/O2QXEE7EN4IF6TBLJDIZ5RV2XS \
  | 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: 76a17213e46f105f4c2b48d19ec6babca9c53cfc996a88c49088c29d318567a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222fa5c02d36a880bd920506282f4258bbc76eaea4d2c1e1093c5deee2715925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-04T10:30:07Z",
    "title_canon_sha256": "0506cb40b87eb7f2e95cd8b7c897dfce395d3ac7c3b571966d82d0d4a5a5f4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0809",
    "kind": "arxiv",
    "version": 2
  }
}