Pith Number

pith:ZWNB7KK4

pith:2026:ZWNB7KK4MYO7DKRW7X6DKAAMTG

not attested not anchored not stored refs pending

Distributed Colouring with 4/3 chi Colours for Hyperbolic Random Graphs

Adeline Pittet, Johannes Lengler, Kostas Lakis

arxiv:2607.20360 v1 · 2026-07-22 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWNB7KK4MYO7DKRW7X6DKAAMTG}

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	2026-07-23T01:25:16.587701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9a1fa95c661df1aa36fdfc35000c99b4dfcea99a6844c5f46921b8092d4722

Aliases

arxiv: 2607.20360 · arxiv_version: 2607.20360v1 · doi: 10.48550/arxiv.2607.20360 · pith_short_12: ZWNB7KK4MYO7 · pith_short_16: ZWNB7KK4MYO7DKRW · pith_short_8: ZWNB7KK4

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/ZWNB7KK4MYO7DKRW7X6DKAAMTG \
  | 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: cd9a1fa95c661df1aa36fdfc35000c99b4dfcea99a6844c5f46921b8092d4722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17396cf2ee404fe3498fff5423a78b4b4841d6d4f23978b1d72337490173245",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-22T16:50:51Z",
    "title_canon_sha256": "302163838afe0fdf6a8dd3a27d6c6d4b8a8af298232ce157ca4581e818c44e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20360",
    "kind": "arxiv",
    "version": 1
  }
}