Pith. sign in
Pith Number

pith:EMZOHTG4

pith:2025:EMZOHTG4MHZ34HGZ3W62UBB7CG
not attested not anchored not stored refs pending

Graph classes through the lens of logic

Micha{\l} Pilipczuk

arxiv:2501.04166 v1 · 2025-01-07 · math.CO · cs.DM · cs.DS · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EMZOHTG4MHZ34HGZ3W62UBB7CG}

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

Receipt and verification
First computed 2026-07-05T09:58:31.137378Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2332e3ccdc61f3be1cd9ddbdaa043f11abea0647e3005ca94f2aa288fd82ada7

Aliases

arxiv: 2501.04166 · arxiv_version: 2501.04166v1 · doi: 10.48550/arxiv.2501.04166 · pith_short_12: EMZOHTG4MHZ3 · pith_short_16: EMZOHTG4MHZ34HGZ · pith_short_8: EMZOHTG4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EMZOHTG4MHZ34HGZ3W62UBB7CG \
  | 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: 2332e3ccdc61f3be1cd9ddbdaa043f11abea0647e3005ca94f2aa288fd82ada7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c9b747c853acd28b2016df1db480e886d08fb1ab74f080277cc74d4e032786c7",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-07T22:27:31Z",
    "title_canon_sha256": "ccd541cc95c3661ab2a044477c1d1e21fb08a89a2b5fe394865e96d69576699d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04166",
    "kind": "arxiv",
    "version": 1
  }
}