Pith Number

pith:3ODMCDPL

pith:2017:3ODMCDPLVBV3BX22UQUPWYDRFO

not attested not anchored not stored refs pending

On the maximum number of edges in plane graph with fixed exterior face degree

Adem Kilicman, Gek L. Chiab, Hazim Michman Trao, Niran Abbas Ali

arxiv:1708.02024 v1 · 2017-08-07 · 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{3ODMCDPLVBV3BX22UQUPWYDRFO}

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	2026-05-18T00:38:32.517156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db86c10deba86bb0df5aa428fb60712bb1283209ff0aae9ce234599d6c57588e

Aliases

arxiv: 1708.02024 · arxiv_version: 1708.02024v1 · doi: 10.48550/arxiv.1708.02024 · pith_short_12: 3ODMCDPLVBV3 · pith_short_16: 3ODMCDPLVBV3BX22 · pith_short_8: 3ODMCDPL

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/3ODMCDPLVBV3BX22UQUPWYDRFO \
  | 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: db86c10deba86bb0df5aa428fb60712bb1283209ff0aae9ce234599d6c57588e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3c67334c2e9f02adf18317681da765232cef9435b4be80ce0bf2de332936fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-07T07:53:44Z",
    "title_canon_sha256": "2b971ff453337c5235da3da23f18e908c0e654220673b58ccbbab7b47aa2c93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02024",
    "kind": "arxiv",
    "version": 1
  }
}