Pith Number

pith:3FK5HMR7

pith:2024:3FK5HMR7CXPCPVLIPL6WINWR56

not attested not anchored not stored refs pending

Spectral extrema of graphs with fixed size: forbidden a fan graph, friendship graph or theta graph

Lantao Zou, Shuchao Li, Sishu Zhao

arxiv:2409.15918 v2 · 2024-09-24 · 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{3FK5HMR7CXPCPVLIPL6WINWR56}

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.

Cited by

1 paper in Pith

Detecting Traces of Light-Quark Yukawa Couplings to the Higgs Boson in Fragmentation Products

Receipt and verification

First computed	2026-07-05T11:54:41.758690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d955d3b23f15de27d5687afd6436d1ef84d92bf21204b75dc2fc1139fc3aa6ed

Aliases

arxiv: 2409.15918 · arxiv_version: 2409.15918v2 · doi: 10.48550/arxiv.2409.15918 · pith_short_12: 3FK5HMR7CXPC · pith_short_16: 3FK5HMR7CXPCPVLI · pith_short_8: 3FK5HMR7

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/3FK5HMR7CXPCPVLIPL6WINWR56 \
  | 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: d955d3b23f15de27d5687afd6436d1ef84d92bf21204b75dc2fc1139fc3aa6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952adb2608882454f126f4e6a511d2ac6d9e723fa2e7aac9866f090342e32077",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-24T09:40:03Z",
    "title_canon_sha256": "8431f07323eaba1b2349475ccea87f3fe5bfff62a5d73fb3cbe1c3c95479943c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.15918",
    "kind": "arxiv",
    "version": 2
  }
}