Pith Number

pith:N656AL7N

pith:2018:N656AL7NYE3FTAUAPCXORGF2VR

not attested not anchored not stored refs pending

Edge Partitions of Optimal $2$-plane and $3$-plane Graphs

Chrysanthi Raftopoulou, Emilio Di Giacomo, Fabrizio Montecchiani, Giuseppe Liotta, Michael Bekos, Walter Didimo

arxiv:1802.10300 v2 · 2018-02-28 · 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{N656AL7NYE3FTAUAPCXORGF2VR}

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	2026-05-18T00:12:43.390275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fbbe02fedc13659828078aee898baac4bf9304812448c8b42a5d09ef35bbf4c

Aliases

arxiv: 1802.10300 · arxiv_version: 1802.10300v2 · doi: 10.48550/arxiv.1802.10300 · pith_short_12: N656AL7NYE3F · pith_short_16: N656AL7NYE3FTAUA · pith_short_8: N656AL7N

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/N656AL7NYE3FTAUAPCXORGF2VR \
  | 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: 6fbbe02fedc13659828078aee898baac4bf9304812448c8b42a5d09ef35bbf4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce32724728a16076844ea9fe608552fb65888e9b4dcdb7e24f2f82bb85d6bc17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-28T08:06:22Z",
    "title_canon_sha256": "8d32250a0109de80074b544a96f202629e20b9fa654b5a132843e0ff2324e5f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10300",
    "kind": "arxiv",
    "version": 2
  }
}