Pith Number

pith:D2VC6R3M

pith:2025:D2VC6R3MKMA37GB667TT32SLQL

not attested not anchored not stored refs pending

Unavoidable butterfly minors in digraphs of large cycle rank

Meike Hatzel, Myounghwan Lee, O-joung Kwon, Sebastian Wiederrecht

arxiv:2507.11814 v1 · 2025-07-16 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2VC6R3MKMA37GB667TT32SLQL}

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

An FPT algorithm for cycle rank on semi-complete digraphs

Receipt and verification

First computed	2026-07-05T11:37:51.342926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eaa2f476c5301bf983ef7e73dea4b82d28ee1fc7dc76efaca314885ae86422f

Aliases

arxiv: 2507.11814 · arxiv_version: 2507.11814v1 · doi: 10.48550/arxiv.2507.11814 · pith_short_12: D2VC6R3MKMA3 · pith_short_16: D2VC6R3MKMA37GB6 · pith_short_8: D2VC6R3M

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/D2VC6R3MKMA37GB667TT32SLQL \
  | 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: 1eaa2f476c5301bf983ef7e73dea4b82d28ee1fc7dc76efaca314885ae86422f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf8d9c246c2d18cad7b21de5ff6fe3c30bbfaa71919a56f010e5bbfea59fb2e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-16T00:24:53Z",
    "title_canon_sha256": "f82da0633617fffda07d11a1b60d1810c0d4fda650a266eeea827ed7a39e1748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11814",
    "kind": "arxiv",
    "version": 1
  }
}