Pith Number

pith:ZYJWANUZ

pith:2017:ZYJWANUZI5LIOJHL257JIA7TEH

not attested not anchored not stored refs pending

Obstacle Numbers of Planar Graphs

John Gimbel, Patrice Ossona de Mendez, Pavel Valtr

arxiv:1706.06992 v3 · 2017-06-21 · 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{ZYJWANUZI5LIOJHL257JIA7TEH}

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	2026-05-18T00:35:51.149718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1360369947568724ebd77e9403f321cc643d71e0293fa5fddf3a8021526c1d

Aliases

arxiv: 1706.06992 · arxiv_version: 1706.06992v3 · doi: 10.48550/arxiv.1706.06992 · pith_short_12: ZYJWANUZI5LI · pith_short_16: ZYJWANUZI5LIOJHL · pith_short_8: ZYJWANUZ

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/ZYJWANUZI5LIOJHL257JIA7TEH \
  | 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: ce1360369947568724ebd77e9403f321cc643d71e0293fa5fddf3a8021526c1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab97f2ddac7099ea70ba6d64d72782f1a623d41908c5ecea358323db9f15b5eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-21T16:28:56Z",
    "title_canon_sha256": "515cfe543a1c6d47a089ac15d2367df1a648519a560c73e9f481fdaf4b96182f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06992",
    "kind": "arxiv",
    "version": 3
  }
}