Pith Number

pith:3UXYWGRV

pith:2023:3UXYWGRV2YGAZFDML5EXDGQDCB

not attested not anchored not stored refs pending

Balanced-chromatic number and Hadwiger-like conjectures

Andrea Jim\'enez, Daniel A. Quiroz, Jessica McDonald, Kathryn Nurse, Reza Naserasr

arxiv:2308.01242 v3 · 2023-08-02 · 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{3UXYWGRV2YGAZFDML5EXDGQDCB}

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	2026-07-02T01:18:00.456252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2f8b1a35d60c0c946c5f49719a03106e78cc23569decd2b0a96e85058cff67

Aliases

arxiv: 2308.01242 · arxiv_version: 2308.01242v3 · doi: 10.48550/arxiv.2308.01242 · pith_short_12: 3UXYWGRV2YGA · pith_short_16: 3UXYWGRV2YGAZFDM · pith_short_8: 3UXYWGRV

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/3UXYWGRV2YGAZFDML5EXDGQDCB \
  | 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: dd2f8b1a35d60c0c946c5f49719a03106e78cc23569decd2b0a96e85058cff67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfd4136f68a7c77b434a6eb1aa1fe48c78698d9b1efaae7771a9b625a59499e8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-02T15:57:18Z",
    "title_canon_sha256": "c08e1ba351486e4a56df2c86536f669cfc7965cba95f5fcce2b8e6d6d5c4d0cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01242",
    "kind": "arxiv",
    "version": 3
  }
}