Pith Number

pith:2KOMUQQP

pith:2016:2KOMUQQPZHM55LDYR3VLKEHCTY

not attested not anchored not stored refs pending

Competition numbers of planar graphs

Jihoon Choi, Soogang Eoh, Suh-Ryung Kim

arxiv:1602.04623 v3 · 2016-02-15 · 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{2KOMUQQPZHM55LDYR3VLKEHCTY}

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	2026-05-18T00:03:37.538042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29cca420fc9d9deac788eeab510e29e0c0476f3e2d4d26b1466814ddf59c31f

Aliases

arxiv: 1602.04623 · arxiv_version: 1602.04623v3 · doi: 10.48550/arxiv.1602.04623 · pith_short_12: 2KOMUQQPZHM5 · pith_short_16: 2KOMUQQPZHM55LDY · pith_short_8: 2KOMUQQP

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/2KOMUQQPZHM55LDYR3VLKEHCTY \
  | 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: d29cca420fc9d9deac788eeab510e29e0c0476f3e2d4d26b1466814ddf59c31f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3385b8e7d974793280f6b9745b59d031e12d9f2157c150fc71673047e9309e72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-15T10:54:57Z",
    "title_canon_sha256": "bbf4d9e771f7410dd774b9983bafdca819bdb27698e25af6564570b9ef7d91cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04623",
    "kind": "arxiv",
    "version": 3
  }
}