pith. sign in
Pith Number

pith:OZUX3JXR

pith:2011:OZUX3JXRJH2GGLXKS3WGKHGLKC
not attested not anchored not stored refs pending

Packing Chromatic Number of Distance Graphs

Bernard Lidick\'y, Jan Ekstein, P\v{r}emysl Holub

arxiv:1105.5652 v1 · 2011-05-27 · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OZUX3JXRJH2GGLXKS3WGKHGLKC}

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 2026-05-18T04:21:10.259736Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

76697da6f149f4632eea96ec651ccb50b52dde8f50e3932e0608258c9660c3d9

Aliases

arxiv: 1105.5652 · arxiv_version: 1105.5652v1 · doi: 10.48550/arxiv.1105.5652 · pith_short_12: OZUX3JXRJH2G · pith_short_16: OZUX3JXRJH2GGLXK · pith_short_8: OZUX3JXR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OZUX3JXRJH2GGLXKS3WGKHGLKC \
  | 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: 76697da6f149f4632eea96ec651ccb50b52dde8f50e3932e0608258c9660c3d9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9092c35ec678c209767b8b4bb1c038b2231c8f6a2647efbc6af3059a6af1b94d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-05-27T20:08:03Z",
    "title_canon_sha256": "021d4ff8f22bba9081cd0b5cb140ae4da3984e6f86eda0bce78b217d9335daf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5652",
    "kind": "arxiv",
    "version": 1
  }
}