Pith Number

pith:OG2GFP5U

pith:2017:OG2GFP5UKXGLOHHE23EBDKZM6U

not attested not anchored not stored refs pending

On the maximum degree of path-pairable planar graphs

Ant\'onio Gir\~ao, G\'abor M\'esz\'aros, Kamil Popielarz, Richard Snyder

arxiv:1705.06068 v1 · 2017-05-17 · 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{OG2GFP5UKXGLOHHE23EBDKZM6U}

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	2026-05-18T00:44:19.075649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b462bfb455ccb71ce4d6c811ab2cf512ee6bb9ad6610044e2d2c7e3bc38c10

Aliases

arxiv: 1705.06068 · arxiv_version: 1705.06068v1 · doi: 10.48550/arxiv.1705.06068 · pith_short_12: OG2GFP5UKXGL · pith_short_16: OG2GFP5UKXGLOHHE · pith_short_8: OG2GFP5U

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/OG2GFP5UKXGLOHHE23EBDKZM6U \
  | 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: 71b462bfb455ccb71ce4d6c811ab2cf512ee6bb9ad6610044e2d2c7e3bc38c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8dea07c9a3b1372e6a126471cfb75a8d8c02c79dd0340da6a292ff8971a6a7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-17T09:42:40Z",
    "title_canon_sha256": "13c6f4de426c70870fa75cf086ba918dbb7694f1bb3ab0971affba366d25a41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06068",
    "kind": "arxiv",
    "version": 1
  }
}