Pith Number

pith:LPHQINQM

pith:2014:LPHQINQM7MHKLUGX7G6NPUPAU6

not attested not anchored not stored refs pending

On an extremal problem in the class of 1-planar graphs

Erika \v{S}krabu\v{l}\'akov\'a, Jakub Przyby{\l}o, J\'ulius Czap

arxiv:1501.00176 v2 · 2014-12-31 · 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{LPHQINQM7MHKLUGX7G6NPUPAU6}

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	2026-05-18T02:25:40.016585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcf04360cfb0ea5d0d7f9bcd7d1e0a7851ddf2bf24e36de7716a273cbd6c077

Aliases

arxiv: 1501.00176 · arxiv_version: 1501.00176v2 · doi: 10.48550/arxiv.1501.00176 · pith_short_12: LPHQINQM7MHK · pith_short_16: LPHQINQM7MHKLUGX · pith_short_8: LPHQINQM

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/LPHQINQM7MHKLUGX7G6NPUPAU6 \
  | 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: 5bcf04360cfb0ea5d0d7f9bcd7d1e0a7851ddf2bf24e36de7716a273cbd6c077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a3fecb9b873fae72e46a2f6c74bdb28734eb633e1d56f40ab31b6138b042b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-31T17:30:38Z",
    "title_canon_sha256": "f0651becdaa5e0cd8560cf2e3a24be3db7fadae314f22e0d95e94019cdf64077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00176",
    "kind": "arxiv",
    "version": 2
  }
}