Pith Number

pith:ISEPBWIK

pith:2024:ISEPBWIKA5DOAWVDGSX62PZWSN

not attested not anchored not stored refs pending

A strong structural stability of $C_{2k+1}$-free graphs

Yuejian Peng, Zilong Yan

arxiv:2408.15487 v2 · 2024-08-28 · 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{ISEPBWIKA5DOAWVDGSX62PZWSN}

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

2 papers in Pith

On the chromatic profile for tripartite graphs and beyond

Receipt and verification

First computed	2026-07-05T09:23:57.492366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4488f0d90a0746e05aa334afed3f3693481344389ba999abadb67e96f614f95c

Aliases

arxiv: 2408.15487 · arxiv_version: 2408.15487v2 · doi: 10.48550/arxiv.2408.15487 · pith_short_12: ISEPBWIKA5DO · pith_short_16: ISEPBWIKA5DOAWVD · pith_short_8: ISEPBWIK

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/ISEPBWIKA5DOAWVDGSX62PZWSN \
  | 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: 4488f0d90a0746e05aa334afed3f3693481344389ba999abadb67e96f614f95c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274927062c5c5051a5eed3bd76b03f7016c98165875ba416425d3484840e0156",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-28T02:21:37Z",
    "title_canon_sha256": "3c148a67a34f1c8e32cdff8005d845d7d9c9b6da5e5d73e70a58eef8224b5cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15487",
    "kind": "arxiv",
    "version": 2
  }
}