Pith Number

pith:7FONBO4K

pith:2017:7FONBO4KW4QYLSR53ZZXNCERS6

not attested not anchored not stored refs pending

A Bound on the Spectral Radius of Hypergraphs with $e$ Edges

Linyuan Lu, Shuliang Bai

arxiv:1705.01593 v1 · 2017-05-03 · 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{7FONBO4KW4QYLSR53ZZXNCERS6}

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	2026-05-18T00:45:04.591327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f95cd0bb8ab72185ca3dde7376889197801c602e8805dcc4d3449e65d7e85d4c

Aliases

arxiv: 1705.01593 · arxiv_version: 1705.01593v1 · doi: 10.48550/arxiv.1705.01593 · pith_short_12: 7FONBO4KW4QY · pith_short_16: 7FONBO4KW4QYLSR5 · pith_short_8: 7FONBO4K

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/7FONBO4KW4QYLSR53ZZXNCERS6 \
  | 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: f95cd0bb8ab72185ca3dde7376889197801c602e8805dcc4d3449e65d7e85d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6549b1146b504509315153ea47ed10642805470c1868e9c5769f0d4415a2da6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-03T19:45:13Z",
    "title_canon_sha256": "57a93e26f5c29ae90d37227b93fd73335c8db707a11e26b5ead4c67bb001d504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01593",
    "kind": "arxiv",
    "version": 1
  }
}