Pith Number

pith:X4VDGTBD

pith:2025:X4VDGTBDB6GJOOUVCLEEYS7Q7T

not attested not anchored not stored refs pending

Separating complexity classes of LCL problems on grids

Anton Bernshteyn, Clark Lyons, Felix Weilacher, Katalin Berlow

arxiv:2501.17445 v4 · 2025-01-29 · math.LO · cs.CC · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4VDGTBDB6GJOOUVCLEEYS7Q7T}

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	2026-07-05T10:59:26.969211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2a334c230f8c973a9512c84c4bf0fcd472b6dce78ee97653a9c5641d4f3a53

Aliases

arxiv: 2501.17445 · arxiv_version: 2501.17445v4 · doi: 10.48550/arxiv.2501.17445 · pith_short_12: X4VDGTBDB6GJ · pith_short_16: X4VDGTBDB6GJOOUV · pith_short_8: X4VDGTBD

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/X4VDGTBDB6GJOOUVCLEEYS7Q7T \
  | 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: bf2a334c230f8c973a9512c84c4bf0fcd472b6dce78ee97653a9c5641d4f3a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee13aa5ba8d54bf51ebd51e2de3ae312ae1f95905ad56db1b5cb8249e89f67a",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-01-29T07:05:21Z",
    "title_canon_sha256": "2ff3bc0d10faa0137cc2989b9f9d39372c6c704c0c7b765b0da9da915abfc702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17445",
    "kind": "arxiv",
    "version": 4
  }
}