Pith Number

pith:57YWEJJK

pith:2024:57YWEJJKFZ4S6DK63F6LMJ2XCA

not attested not anchored not stored refs pending

Defective correspondence coloring of planar graphs

James Anderson

arxiv:2411.15336 v1 · 2024-11-22 · 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{57YWEJJKFZ4S6DK63F6LMJ2XCA}

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	2026-07-05T09:39:33.406093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff162252a2e792f0d5ed97cb627571036fd0679d156a0edf1267df72e7d2468

Aliases

arxiv: 2411.15336 · arxiv_version: 2411.15336v1 · doi: 10.48550/arxiv.2411.15336 · pith_short_12: 57YWEJJKFZ4S · pith_short_16: 57YWEJJKFZ4S6DK6 · pith_short_8: 57YWEJJK

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/57YWEJJKFZ4S6DK63F6LMJ2XCA \
  | 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: eff162252a2e792f0d5ed97cb627571036fd0679d156a0edf1267df72e7d2468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a086fd33c526334796be9b7b44baeee429e9b6f38ab7a686aadc4a95182fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-22T20:30:06Z",
    "title_canon_sha256": "ceedf7320f538fa1120e87e336bc9017e4ee9c02d8ce2e87135f76e09d624433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15336",
    "kind": "arxiv",
    "version": 1
  }
}