Pith Number

pith:XIPNHITX

pith:2024:XIPNHITXFV6QAWZ3LEE2J5HKW7

not attested not anchored not stored refs pending

Nonregular graphs with a given maximum degree attaining maximum spectral radius

Chenxi Yang, Jiahui Liu, Zejun Huang

arxiv:2411.17371 v1 · 2024-11-26 · 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{XIPNHITXFV6QAWZ3LEE2J5HKW7}

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	2026-07-05T09:40:46.393132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1ed3a2772d7d005b3b5909a4f4eab7cd53c0c1aab8cc490db1c16c96ca6403

Aliases

arxiv: 2411.17371 · arxiv_version: 2411.17371v1 · doi: 10.48550/arxiv.2411.17371 · pith_short_12: XIPNHITXFV6Q · pith_short_16: XIPNHITXFV6QAWZ3 · pith_short_8: XIPNHITX

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/XIPNHITXFV6QAWZ3LEE2J5HKW7 \
  | 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: ba1ed3a2772d7d005b3b5909a4f4eab7cd53c0c1aab8cc490db1c16c96ca6403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7799088e4dce11c4574faa051529719003726f151e22cfb5f1c8a11c77eb217e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-26T12:28:51Z",
    "title_canon_sha256": "cb4c25ea7e6d8fbd54348c852df960ce3e8f4c381ff4b5ff3136e3be03cf8cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17371",
    "kind": "arxiv",
    "version": 1
  }
}