Pith Number

pith:FEKNWIHG

pith:2025:FEKNWIHGQG5BBKRGEQVMFXK2FL

not attested not anchored not stored refs pending

Bisection width, max-cut and internal partitions of 5-regular graphs

Endre Cs\'oka, Levente Szemer\'edi, Panna T\'imea Fekete, Zolt\'an L\'or\'ant Nagy

arxiv:2509.08531 v1 · 2025-09-10 · 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{FEKNWIHGQG5BBKRGEQVMFXK2FL}

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	2026-07-05T12:08:31.912103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2914db20e681ba10aa26242ac2dd5a2ad2d589dc4c26cfe9afb452cec5cb9442

Aliases

arxiv: 2509.08531 · arxiv_version: 2509.08531v1 · doi: 10.48550/arxiv.2509.08531 · pith_short_12: FEKNWIHGQG5B · pith_short_16: FEKNWIHGQG5BBKRG · pith_short_8: FEKNWIHG

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/FEKNWIHGQG5BBKRGEQVMFXK2FL \
  | 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: 2914db20e681ba10aa26242ac2dd5a2ad2d589dc4c26cfe9afb452cec5cb9442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad67015aabc9307fdf0971023aaebd2c1807d7cf9ed74778196c1e1d3673e60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-10T12:19:32Z",
    "title_canon_sha256": "f4969326e364d851fd5985c780e856f11680009bf79a05fec80eef89f1cdada3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08531",
    "kind": "arxiv",
    "version": 1
  }
}