Pith Number

pith:FHBLACHR

pith:2016:FHBLACHREDY6Y4A2G7EOSNZ3V4

not attested not anchored not stored refs pending

Decomposing planar cubic graphs

Arthur Hoffmann-Ostenhof, Kenta Ozeki, Tom\'a\v{s} Kaiser

arxiv:1609.05059 v2 · 2016-09-16 · 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{FHBLACHREDY6Y4A2G7EOSNZ3V4}

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	2026-05-18T00:31:51.897424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c2b008f120f1ec701a37c8e9373baf27bfb3e2c5433e38ac047252a3089145

Aliases

arxiv: 1609.05059 · arxiv_version: 1609.05059v2 · doi: 10.48550/arxiv.1609.05059 · pith_short_12: FHBLACHREDY6 · pith_short_16: FHBLACHREDY6Y4A2 · pith_short_8: FHBLACHR

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/FHBLACHREDY6Y4A2G7EOSNZ3V4 \
  | 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: 29c2b008f120f1ec701a37c8e9373baf27bfb3e2c5433e38ac047252a3089145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3cef709f882f821913d4951c52178ac3baa7bc18e50d0d2bae13468eee7b627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-16T14:02:50Z",
    "title_canon_sha256": "4c995d337c338517dcdb309d99748cf018acf095f7aa190ddfa3add5030d78b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05059",
    "kind": "arxiv",
    "version": 2
  }
}