Pith Number

pith:JQCNSUSF

pith:2016:JQCNSUSFV4CSNMHMSYWJYQ2MAP

not attested not anchored not stored refs pending

Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs

Biao Mo, Bo Zhou, Hongying Lin, Weiming Weng

arxiv:1602.03230 v2 · 2016-02-10 · 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{JQCNSUSFV4CSNMHMSYWJYQ2MAP}

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	2026-05-18T01:14:28.930526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c04d95245af0526b0ec962c9c434c03e908595bca19b0b21a6d3e28ff50ff7f

Aliases

arxiv: 1602.03230 · arxiv_version: 1602.03230v2 · doi: 10.48550/arxiv.1602.03230 · pith_short_12: JQCNSUSFV4CS · pith_short_16: JQCNSUSFV4CSNMHM · pith_short_8: JQCNSUSF

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/JQCNSUSFV4CSNMHMSYWJYQ2MAP \
  | 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: 4c04d95245af0526b0ec962c9c434c03e908595bca19b0b21a6d3e28ff50ff7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e38b0bf8fd97208fbb545501186f56345679014f1af274beb94228ea49825e6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-10T00:39:54Z",
    "title_canon_sha256": "9b4bb4c86b10ac3d5fc62d4c3cc5dc7f04081f650809fdd6f14ac7530bff5ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03230",
    "kind": "arxiv",
    "version": 2
  }
}