Pith Number

pith:ITXDNDBF

pith:2017:ITXDNDBFNOYVEDDKIVQ37WROJ3

not attested not anchored not stored refs pending

On uniquely k-list colorable planar graphs, graphs on surfaces, and regular graphs

E. S. Mahmoodian, J. P. Hutchinson, M. Abdolmaleki, M. A. Shabani, S. Gh. Ilchi

arxiv:1705.07434 v1 · 2017-05-21 · 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{ITXDNDBFNOYVEDDKIVQ37WROJ3}

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	2026-05-18T00:44:05.622280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ee368c256bb1520c6a4561bfda2e4ee68fe9a9e324ba2a8a2ce815fe78fb0b

Aliases

arxiv: 1705.07434 · arxiv_version: 1705.07434v1 · doi: 10.48550/arxiv.1705.07434 · pith_short_12: ITXDNDBFNOYV · pith_short_16: ITXDNDBFNOYVEDDK · pith_short_8: ITXDNDBF

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/ITXDNDBFNOYVEDDKIVQ37WROJ3 \
  | 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: 44ee368c256bb1520c6a4561bfda2e4ee68fe9a9e324ba2a8a2ce815fe78fb0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78b5a4b301869025adc67ba87273c81286613bdadd06a7dd5933d7b8775c8d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-21T11:22:09Z",
    "title_canon_sha256": "dc52fa25aa1c4eccdeea455a134bb7b45bea2e34d51ce567d8740997a1ce2998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07434",
    "kind": "arxiv",
    "version": 1
  }
}