Pith Number

pith:UXN567BV

pith:2011:UXN567BVWSF7UIKIRBT3U4FB5Z

not attested not anchored not stored refs pending

New results on the energy of integral circulant graphs

Aleksandar Ilic, Milan Basic

arxiv:1104.4261 v3 · 2011-04-21 · 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{UXN567BVWSF7UIKIRBT3U4FB5Z}

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	2026-05-18T04:13:39.132554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5dbdf7c35b48bfa21488867ba70a1ee51bd657b625278a1222829073e6be4d8

Aliases

arxiv: 1104.4261 · arxiv_version: 1104.4261v3 · doi: 10.48550/arxiv.1104.4261 · pith_short_12: UXN567BVWSF7 · pith_short_16: UXN567BVWSF7UIKI · pith_short_8: UXN567BV

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/UXN567BVWSF7UIKIRBT3U4FB5Z \
  | 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: a5dbdf7c35b48bfa21488867ba70a1ee51bd657b625278a1222829073e6be4d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ec04d4bb4d8696b6fbdda79f9b2532dec2075d508b798de5fee1e5c3af01bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-21T13:34:25Z",
    "title_canon_sha256": "276d99a35a84bbbe9f69427263abb92a70476ce4bf52df9f16b614473f1ae087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4261",
    "kind": "arxiv",
    "version": 3
  }
}