Pith Number

pith:HVPUJITG

pith:2013:HVPUJITGYGT4TQ6HC36LFI72GL

not attested not anchored not stored refs pending

Laplacian and signless Laplacian spectral radii of graphs with fixed domination number

Bo Zhou, Rundan Xing

arxiv:1310.7308 v1 · 2013-10-28 · 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{HVPUJITGYGT4TQ6HC36LFI72GL}

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	2026-05-18T03:08:45.712270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d5f44a266c1a7c9c3c716fcb2a3fa32db0b46064c4bacf95548f59829e3d54d

Aliases

arxiv: 1310.7308 · arxiv_version: 1310.7308v1 · doi: 10.48550/arxiv.1310.7308 · pith_short_12: HVPUJITGYGT4 · pith_short_16: HVPUJITGYGT4TQ6H · pith_short_8: HVPUJITG

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/HVPUJITGYGT4TQ6HC36LFI72GL \
  | 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: 3d5f44a266c1a7c9c3c716fcb2a3fa32db0b46064c4bacf95548f59829e3d54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a2fb193eae8f2b083c1f0b7d84d0b87a9b481de2a9ba913761ad1341f6b1de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-28T04:02:35Z",
    "title_canon_sha256": "a71fca596a1b1aed656cc01c8c46512fd079ca656e0b0988047ed90aa1425926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7308",
    "kind": "arxiv",
    "version": 1
  }
}