Pith Number

pith:HEQHN2T5

pith:2017:HEQHN2T5KXVSERGXIKR6PS7RSG

not attested not anchored not stored refs pending

Subcritical graph classes containing all planar graphs

Agelos Georgakopoulos, Stephan Wagner

arxiv:1701.00973 v2 · 2017-01-04 · 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{HEQHN2T5KXVSERGXIKR6PS7RSG}

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	2026-05-18T00:26:46.554827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392076ea7d55eb2244d742a3e7cbf1919fc94007ae3118a2ec538cff724208ef

Aliases

arxiv: 1701.00973 · arxiv_version: 1701.00973v2 · doi: 10.48550/arxiv.1701.00973 · pith_short_12: HEQHN2T5KXVS · pith_short_16: HEQHN2T5KXVSERGX · pith_short_8: HEQHN2T5

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/HEQHN2T5KXVSERGXIKR6PS7RSG \
  | 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: 392076ea7d55eb2244d742a3e7cbf1919fc94007ae3118a2ec538cff724208ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9b32658bfb8c7dc48b0eae3d93abfd887cf2c5423e4d045049a6a0f539a68b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-04T11:54:05Z",
    "title_canon_sha256": "031636f035d5e6371d2ac61381e6d1ede383d7f609b808466480b2b9bfb3f52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00973",
    "kind": "arxiv",
    "version": 2
  }
}