Pith Number

pith:EWHLHK2B

pith:2022:EWHLHK2BHCDM2COKCSDNML4JQX

not attested not anchored not stored refs pending

Square of Planar Graphs of Max Degree Four without Five Cycles

Eric Culver, Stephen G. Hartke

arxiv:2210.13618 v1 · 2022-10-24 · 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{EWHLHK2BHCDM2COKCSDNML4JQX}

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	2026-07-05T05:10:20.023369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258eb3ab413886cd09ca1486d62f8985c0c318d8c2a60c27461a1d31a8a62c6e

Aliases

arxiv: 2210.13618 · arxiv_version: 2210.13618v1 · doi: 10.48550/arxiv.2210.13618 · pith_short_12: EWHLHK2BHCDM · pith_short_16: EWHLHK2BHCDM2COK · pith_short_8: EWHLHK2B

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/EWHLHK2BHCDM2COKCSDNML4JQX \
  | 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: 258eb3ab413886cd09ca1486d62f8985c0c318d8c2a60c27461a1d31a8a62c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba54a599b6430be208b2a0cd9afdd4056200d59f2e2cbf17f9b3dcd2991ae5f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-24T21:34:48Z",
    "title_canon_sha256": "2f5df17ada01799ee10cbfa97b568cade24a937d30d8f17d6c03c593818afae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.13618",
    "kind": "arxiv",
    "version": 1
  }
}