Pith Number

pith:BSP63LTS

pith:2013:BSP63LTSVOKXSVUBJJKVBEIXUI

not attested not anchored not stored refs pending

Energy, Laplacian energy of double graphs and new families of equienergetic graphs

Hilal A Ganie, S. Pirzada

arxiv:1310.3204 v1 · 2013-10-11 · 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{BSP63LTSVOKXSVUBJJKVBEIXUI}

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	2026-05-18T03:10:44.656407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c9fedae72ab957956814a55509117a236c366ef015b730d9df98ff35e927064

Aliases

arxiv: 1310.3204 · arxiv_version: 1310.3204v1 · doi: 10.48550/arxiv.1310.3204 · pith_short_12: BSP63LTSVOKX · pith_short_16: BSP63LTSVOKXSVUB · pith_short_8: BSP63LTS

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/BSP63LTSVOKXSVUBJJKVBEIXUI \
  | 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: 0c9fedae72ab957956814a55509117a236c366ef015b730d9df98ff35e927064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f91e3f056c0ac38952c8c7078e0d0de8385b2238b954d1b8d9008ccb89fc21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-11T17:21:51Z",
    "title_canon_sha256": "66a29b8b47f8979fae4eba66ca191b45b298fb6062227645f5fda772431c627f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3204",
    "kind": "arxiv",
    "version": 1
  }
}