Pith Number

pith:WEFX325V

pith:2023:WEFX325VR6ROI4NLG73RWPJKCM

not attested not anchored not stored refs pending

Realising every colour distribution sequence with a Gallai colouring

Jun Yan

arxiv:2303.10748 v2 · 2023-03-19 · 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{WEFX325VR6ROI4NLG73RWPJKCM}

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	2026-07-05T06:49:41.800265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b10b7debb58fa2e471ab37f71b3d2a13147b1701832ab20019a9994c457f1671

Aliases

arxiv: 2303.10748 · arxiv_version: 2303.10748v2 · doi: 10.48550/arxiv.2303.10748 · pith_short_12: WEFX325VR6RO · pith_short_16: WEFX325VR6ROI4NL · pith_short_8: WEFX325V

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/WEFX325VR6ROI4NLG73RWPJKCM \
  | 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: b10b7debb58fa2e471ab37f71b3d2a13147b1701832ab20019a9994c457f1671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9c4f9bf62fae498458e08414ebbec694541618ef59ec2a5b8d9b7ecb3b0d7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-19T19:40:48Z",
    "title_canon_sha256": "a30ab8d1fbf94878e29ddc18eeca3836208d1ec184e357804efce15727d1b0a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.10748",
    "kind": "arxiv",
    "version": 2
  }
}