Pith Number

pith:6TQBWDKI

pith:2026:6TQBWDKIC57A4SCU6WCDQ2DB3S

not attested not anchored not stored refs pending

Neighborhood Complexity and Radius-1 Merge-Width in Monadically Dependent Graph Classes

Jan Dreier, Micha{\l} Pilipczuk, Nikolas M\"ahlmann, Rose McCarty, Szymon Toru\'nczyk

arxiv:2607.10941 v1 · 2026-07-12 · cs.DM · cs.DS · cs.LO · 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{6TQBWDKIC57A4SCU6WCDQ2DB3S}

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	2026-07-14T01:21:48.709592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e01b0d48177e0e4854f584386861dca3ffab21b41231953c214f33bbdc1573

Aliases

arxiv: 2607.10941 · arxiv_version: 2607.10941v1 · doi: 10.48550/arxiv.2607.10941 · pith_short_12: 6TQBWDKIC57A · pith_short_16: 6TQBWDKIC57A4SCU · pith_short_8: 6TQBWDKI

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/6TQBWDKIC57A4SCU6WCDQ2DB3S \
  | 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: f4e01b0d48177e0e4854f584386861dca3ffab21b41231953c214f33bbdc1573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c10a101fbcb6f9291e709910776b647a3522d2c650d353315f5ec15c4fe84a",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LO",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2026-07-12T22:04:50Z",
    "title_canon_sha256": "cdfa4bda647d15d68fd9d6de13bc534071950eba8d2342019e75e6a387b0d283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10941",
    "kind": "arxiv",
    "version": 1
  }
}