Pith Number

pith:5KYFJLK6

pith:2017:5KYFJLK6HJPS6OUO2J4E6KEPMP

not attested not anchored not stored refs pending

List-edge-colouring planar graphs with precoloured edges

Gregory J. Puleo, Jessica McDonald, Joshua Harrelson

arxiv:1709.04027 v3 · 2017-09-12 · 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{5KYFJLK6HJPS6OUO2J4E6KEPMP}

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	2026-05-18T00:11:11.533918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab054ad5e3a5f2f3a8ed2784f288f63cfee79efd15f7d2f1ec68d9b13f15ea3

Aliases

arxiv: 1709.04027 · arxiv_version: 1709.04027v3 · doi: 10.48550/arxiv.1709.04027 · pith_short_12: 5KYFJLK6HJPS · pith_short_16: 5KYFJLK6HJPS6OUO · pith_short_8: 5KYFJLK6

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/5KYFJLK6HJPS6OUO2J4E6KEPMP \
  | 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: eab054ad5e3a5f2f3a8ed2784f288f63cfee79efd15f7d2f1ec68d9b13f15ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a77d081b1896eaa71920125cf25c23634e789bd3610406946e3d9f1113e54ac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-12T19:10:13Z",
    "title_canon_sha256": "45bafddef4c95973ba772d568473ae14fa0aad65240a54c0d53db3044cf6a49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04027",
    "kind": "arxiv",
    "version": 3
  }
}