Pith Number

pith:DRUL5RQW

pith:2018:DRUL5RQW36H7LJPXHODFJ4HERK

not attested not anchored not stored refs pending

The $A_\alpha$-spectral radius of graphs with given degree sequence

Dan Li, Jixiang Meng, Yuanyuan Chen

arxiv:1806.02603 v1 · 2018-06-07 · 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{DRUL5RQW36H7LJPXHODFJ4HERK}

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	2026-05-18T00:13:56.294928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c68bec616df8ff5a5f73b8654f0e48a9f0d958704443b4e48f7bc9b7e7208af

Aliases

arxiv: 1806.02603 · arxiv_version: 1806.02603v1 · doi: 10.48550/arxiv.1806.02603 · pith_short_12: DRUL5RQW36H7 · pith_short_16: DRUL5RQW36H7LJPX · pith_short_8: DRUL5RQW

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/DRUL5RQW36H7LJPXHODFJ4HERK \
  | 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: 1c68bec616df8ff5a5f73b8654f0e48a9f0d958704443b4e48f7bc9b7e7208af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8848d64e1db166f3b56fb66625b02b6ac1976aefe7d26301e82ce215b7deb3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-07T10:32:07Z",
    "title_canon_sha256": "006e07fd6eac87df444b022d2899c0d6672841dfeb818874fc92e7e0572779cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02603",
    "kind": "arxiv",
    "version": 1
  }
}