Pith Number

pith:R6BE2PKB

pith:2015:R6BE2PKBSSRNRKJPH22JMYW3R4

not attested not anchored not stored refs pending

Asymptotic incidence energy and Laplacian-energy-like invariant of the Union Jack lattice

Jia-Bao Liua, Xiang-Feng Pan

arxiv:1503.07841 v1 · 2015-03-18 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6BE2PKBSSRNRKJPH22JMYW3R4}

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	2026-05-18T02:20:18.592188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f824d3d4194a2d8a92f3eb49662db8f38bfe9ad5b7a56915ab0e2de46c5df01

Aliases

arxiv: 1503.07841 · arxiv_version: 1503.07841v1 · doi: 10.48550/arxiv.1503.07841 · pith_short_12: R6BE2PKBSSRN · pith_short_16: R6BE2PKBSSRNRKJP · pith_short_8: R6BE2PKB

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/R6BE2PKBSSRNRKJPH22JMYW3R4 \
  | 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: 8f824d3d4194a2d8a92f3eb49662db8f38bfe9ad5b7a56915ab0e2de46c5df01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ed180541f5c9ed212881d10b9830b227933fea03bf5f9bea9f676a4c65152f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-18T01:10:02Z",
    "title_canon_sha256": "677005d16f6a82de28fc27fe2e72bf07618fe1960ee5da274eb9477cbadd03a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07841",
    "kind": "arxiv",
    "version": 1
  }
}