Pith Number

pith:6N3JI7BC

pith:2019:6N3JI7BCMO3PXQHH7JXTA6WYJZ

not attested not anchored not stored refs pending

Computing the Laplacian spectrum of linear octagonal-quadrilateral networks and its applications

Jia-Bao Liu, Jinde Cao, M. Abdel-Aty, Udai Al-Juboori, Ying-Hao Pan, Zhi-Yu Shi

arxiv:1905.10503 v1 · 2019-05-25 · 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{6N3JI7BCMO3PXQHH7JXTA6WYJZ}

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	2026-05-17T23:45:08.296107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f376947c2263b6fbc0e7fa6f307ad84e6d37be9a563589766079bee03225afd7

Aliases

arxiv: 1905.10503 · arxiv_version: 1905.10503v1 · doi: 10.48550/arxiv.1905.10503 · pith_short_12: 6N3JI7BCMO3P · pith_short_16: 6N3JI7BCMO3PXQHH · pith_short_8: 6N3JI7BC

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/6N3JI7BCMO3PXQHH7JXTA6WYJZ \
  | 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: f376947c2263b6fbc0e7fa6f307ad84e6d37be9a563589766079bee03225afd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b0fef2cd8e0fbe5beb51d0997c0d9c5542dc220e63311e948ab12730778a41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-25T02:53:05Z",
    "title_canon_sha256": "96f7789500783e2e5aefe4472f0ceba915dbee60afa9f1b1aba8af764e9b283f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10503",
    "kind": "arxiv",
    "version": 1
  }
}