Pith Number

pith:IGWYHK54

pith:2018:IGWYHK54JKUPZ5K2LZAIGRNTQX

not attested not anchored not stored refs pending

The largest signless Laplacian spectral radius of uniform supertrees with diameter and pendent edges (vertices)

Cunxiang Duan, Ligong Wang, Peng Xiao

arxiv:1807.05955 v2 · 2018-07-16 · 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{IGWYHK54JKUPZ5K2LZAIGRNTQX}

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	2026-05-18T00:00:13.035743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ad83abbc4aa8fcf55a5e408345b385d0505ad5cc802e69f34f7525d053d701

Aliases

arxiv: 1807.05955 · arxiv_version: 1807.05955v2 · doi: 10.48550/arxiv.1807.05955 · pith_short_12: IGWYHK54JKUP · pith_short_16: IGWYHK54JKUPZ5K2 · pith_short_8: IGWYHK54

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/IGWYHK54JKUPZ5K2LZAIGRNTQX \
  | 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: 41ad83abbc4aa8fcf55a5e408345b385d0505ad5cc802e69f34f7525d053d701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939fb58a4c79a7e564e2650f72672e14ffd9c860e90e680f82a25d02ade75568",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-16T16:25:52Z",
    "title_canon_sha256": "d1d31fcbf76ccf5bc607b5c57cbf72877a4f5e99a64951d0f9ab3e870dc36f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05955",
    "kind": "arxiv",
    "version": 2
  }
}