Pith Number

pith:L5KH3LL4

pith:2011:L5KH3LL4DMZHLPHGNFZPYRINOD

not attested not anchored not stored refs pending

Distance spectra and Distance energy of Integral Circulant Graphs

Aleksandar Ili\' c

arxiv:1104.1097 v1 · 2011-04-06 · 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{L5KH3LL4DMZHLPHGNFZPYRINOD}

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	2026-05-18T04:24:53.624774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f547dad7c1b3275bce66972fc450d70fb7322fec2cfef5d324bdbe1f79d95d8

Aliases

arxiv: 1104.1097 · arxiv_version: 1104.1097v1 · doi: 10.48550/arxiv.1104.1097 · pith_short_12: L5KH3LL4DMZH · pith_short_16: L5KH3LL4DMZHLPHG · pith_short_8: L5KH3LL4

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/L5KH3LL4DMZHLPHGNFZPYRINOD \
  | 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: 5f547dad7c1b3275bce66972fc450d70fb7322fec2cfef5d324bdbe1f79d95d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f3c2a668de78e620f2e99649b17d01b9a13e6c91bf6d3a6481d0c76f277a35b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-06T13:39:26Z",
    "title_canon_sha256": "9785c10d930b67392c990fc4ecf1c1e9364d8abc00bbabb80ae691818fc86ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1097",
    "kind": "arxiv",
    "version": 1
  }
}