Pith Number

pith:ABDVSHQE

pith:2024:ABDVSHQEFIEQ5MINZX6V6Z6K6K

not attested not anchored not stored refs pending

On the size of outerplanar graphs with positive Lin-Lu-Yau Ricci curvature

Linyuan Lu, Xiaonan Liu, Zhiyu Wang

arxiv:2409.13666 v1 · 2024-09-20 · 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{ABDVSHQEFIEQ5MINZX6V6Z6K6K}

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	2026-07-05T09:09:47.002008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0047591e042a090eb10dcdfd5f67caf28b380178bbe01f1e25bdfd64d2ec2fc3

Aliases

arxiv: 2409.13666 · arxiv_version: 2409.13666v1 · doi: 10.48550/arxiv.2409.13666 · pith_short_12: ABDVSHQEFIEQ · pith_short_16: ABDVSHQEFIEQ5MIN · pith_short_8: ABDVSHQE

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/ABDVSHQEFIEQ5MINZX6V6Z6K6K \
  | 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: 0047591e042a090eb10dcdfd5f67caf28b380178bbe01f1e25bdfd64d2ec2fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f06fd413761cfe4cff19dd60c0a5e086afaac6158390ca85d3921ceaee865fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-20T17:21:02Z",
    "title_canon_sha256": "cb962c1098c3b81a4a20efac88d8d4e6a5ee0b0b8b94dceea64614ff43241df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.13666",
    "kind": "arxiv",
    "version": 1
  }
}