Pith Number

pith:D3427LZG

pith:2020:D3427LZG6SGOSCSRALVUAC6M4J

not attested not anchored not stored refs pending

On the maximum diameter of $k$-colorable graphs

\'Eva Czabarka, Inne Singgih, L\'aszl\'o A. Sz\'ekely

arxiv:2009.02611 v1 · 2020-09-05 · 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{D3427LZG6SGOSCSRALVUAC6M4J}

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	2026-07-05T01:33:24.134600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef9afaf26f48ce90a5102eb400bcce264c9b1eed9e2e6d8d0929c25fea46d5f

Aliases

arxiv: 2009.02611 · arxiv_version: 2009.02611v1 · doi: 10.48550/arxiv.2009.02611 · pith_short_12: D3427LZG6SGO · pith_short_16: D3427LZG6SGOSCSR · pith_short_8: D3427LZG

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/D3427LZG6SGOSCSRALVUAC6M4J \
  | 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: 1ef9afaf26f48ce90a5102eb400bcce264c9b1eed9e2e6d8d0929c25fea46d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d5cc3d87673411e7499810d3c8924aa746532dea58bb10b725c5c9d6d24c73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-05T22:48:01Z",
    "title_canon_sha256": "0340dea1bf78e466157e85abfff3294d636b0ddd81bff6adbb08252f76abb1a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.02611",
    "kind": "arxiv",
    "version": 1
  }
}