Pith Number

pith:SIDPH32D

pith:2022:SIDPH32DN23VBCM7BH65GYWQNO

not attested not anchored not stored refs pending

Square coloring planar graphs with automatic discharging

Lucas de Meyer, Nicolas Bousquet, Quentin Deschamps, Th\'eo Pierron

arxiv:2204.05791 v1 · 2022-04-12 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIDPH32DN23VBCM7BH65GYWQNO}

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	2026-07-05T04:14:02.452292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9206f3ef436eb750899f09fdd362d06ba62cf12edd90da76335e23b0dcda6eeb

Aliases

arxiv: 2204.05791 · arxiv_version: 2204.05791v1 · doi: 10.48550/arxiv.2204.05791 · pith_short_12: SIDPH32DN23V · pith_short_16: SIDPH32DN23VBCM7 · pith_short_8: SIDPH32D

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/SIDPH32DN23VBCM7BH65GYWQNO \
  | 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: 9206f3ef436eb750899f09fdd362d06ba62cf12edd90da76335e23b0dcda6eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0abcd34994e936b11366a82856edfe6f3df922a08fc45303077a0ce22f7383",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-12T13:19:10Z",
    "title_canon_sha256": "a3e0c2eb429823f39f355413e66778b9927edcc713ac1ee3062e507565ec106a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.05791",
    "kind": "arxiv",
    "version": 1
  }
}