Pith Number

pith:MPE3MLPY

pith:2025:MPE3MLPYD7YJSREHOE3OIRZEIJ

not attested not anchored not stored refs pending

First-order transducibility among classes of sparse graphs

Jakub Gajarsk\'y, Jan Jedelsk\'y, Jeremi G{\l}adkowski, Micha{\l} Pilipczuk, Szymon Toru\'nczyk

arxiv:2505.15655 v1 · 2025-05-21 · cs.LO · cs.DM · 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{MPE3MLPYD7YJSREHOE3OIRZEIJ}

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

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs

Receipt and verification

First computed	2026-07-05T11:06:49.144094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c9b62df81ff09944877136e44724427b0a1386e995de1b1dd4e25b99cb1bbf

Aliases

arxiv: 2505.15655 · arxiv_version: 2505.15655v1 · doi: 10.48550/arxiv.2505.15655 · pith_short_12: MPE3MLPYD7YJ · pith_short_16: MPE3MLPYD7YJSREH · pith_short_8: MPE3MLPY

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/MPE3MLPYD7YJSREHOE3OIRZEIJ \
  | 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: 63c9b62df81ff09944877136e44724427b0a1386e995de1b1dd4e25b99cb1bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277af4d571513c6861bd399f8a0684e7bd18ee26b333d3f4c521eb88e04c3c6c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-05-21T15:31:33Z",
    "title_canon_sha256": "2f80a2717981b2bba677d8f9982e7d032bb6508d23920022096152976fbbab97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15655",
    "kind": "arxiv",
    "version": 1
  }
}