pith. sign in
Pith Number

pith:5WF4J6NN

pith:2011:5WF4J6NNCGXLZQAXEC5A7ERKIX
not attested not anchored not stored refs pending

How Not to Characterize Planar-emulable Graphs

Markus Chimani, Martin Derka, Mat\v{e}j Klus\'a\v{c}ek, Petr Hlin\v{e}n\'y

arxiv:1107.0176 v1 · 2011-07-01 · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5WF4J6NNCGXLZQAXEC5A7ERKIX}

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 2026-05-18T04:19:02.540153Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed8bc4f9ad11aebcc01720ba0f922a45d7ed7f3659e56488cdfe3175d84a5af1

Aliases

arxiv: 1107.0176 · arxiv_version: 1107.0176v1 · doi: 10.48550/arxiv.1107.0176 · pith_short_12: 5WF4J6NNCGXL · pith_short_16: 5WF4J6NNCGXLZQAX · pith_short_8: 5WF4J6NN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WF4J6NNCGXLZQAXEC5A7ERKIX \
  | 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: ed8bc4f9ad11aebcc01720ba0f922a45d7ed7f3659e56488cdfe3175d84a5af1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f658963461e30adf6bb0013ce8dffde44cfea273d5e18c1f76dc4b6fb971449b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-07-01T10:02:30Z",
    "title_canon_sha256": "c5a7ba3de58c32564463dbb3f31d0a75d7830a887ee9e27bb17d358e4af375d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0176",
    "kind": "arxiv",
    "version": 1
  }
}