Pith Number

pith:SZWGY5KX

pith:2025:SZWGY5KXITOWR67WZSNHRNK5HP

not attested not anchored not stored refs pending

On $2$-connected graphs avoiding cycles of length $0$ modulo $4$

Boram Park, Hojin Chu, Homoon Ryu

arxiv:2507.12798 v1 · 2025-07-17 · 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{SZWGY5KXITOWR67WZSNHRNK5HP}

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 2-connected graphs without cycles of length 1 modulo 3

Existence of cycles of length divisible by 3 or 4

Receipt and verification

First computed	2026-07-05T11:38:39.403382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

966c6c755744dd68fbf6cc9a78b55d3bde315c22c87d7d5f10f74ad041f2c746

Aliases

arxiv: 2507.12798 · arxiv_version: 2507.12798v1 · doi: 10.48550/arxiv.2507.12798 · pith_short_12: SZWGY5KXITOW · pith_short_16: SZWGY5KXITOWR67W · pith_short_8: SZWGY5KX

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/SZWGY5KXITOWR67WZSNHRNK5HP \
  | 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: 966c6c755744dd68fbf6cc9a78b55d3bde315c22c87d7d5f10f74ad041f2c746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf1fe5a074d9513ccfafffd77ed3a6a55b2a5e98190f7e5a86951ecdfb009b8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-17T05:32:45Z",
    "title_canon_sha256": "2ad96fdef11f30cb55668c25a4aed248ad35daec4176a4e0a3c7a6787e1a8ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12798",
    "kind": "arxiv",
    "version": 1
  }
}