Pith Number

pith:NEZTHTWY

pith:2016:NEZTHTWYHINWGYKLWUNQ5QO6AK

not attested not anchored not stored refs pending

Exponentially Many 4-List-Colorings of Triangle-Free Graphs on Surfaces

Luke Postle, Tom Kelly

arxiv:1602.04717 v1 · 2016-02-15 · 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{NEZTHTWYHINWGYKLWUNQ5QO6AK}

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	2026-05-18T01:20:49.346396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693333ced83a1b63614bb51b0ec1de0298eab7f8e87accddf74d6cdd840c3aac

Aliases

arxiv: 1602.04717 · arxiv_version: 1602.04717v1 · doi: 10.48550/arxiv.1602.04717 · pith_short_12: NEZTHTWYHINW · pith_short_16: NEZTHTWYHINWGYKL · pith_short_8: NEZTHTWY

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/NEZTHTWYHINWGYKLWUNQ5QO6AK \
  | 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: 693333ced83a1b63614bb51b0ec1de0298eab7f8e87accddf74d6cdd840c3aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b01cf9d5a80f527745561c45c67d8384ace0c93e433531eedc683dc17958c492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-15T16:03:37Z",
    "title_canon_sha256": "fd3327cb0176a36170d9b4459e05c388e0c52fed044899c2bb244333b8085b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04717",
    "kind": "arxiv",
    "version": 1
  }
}