Pith Number

pith:EDZBAIOT

pith:2016:EDZBAIOTLKTVD44VHRRCCBN3D2

not attested not anchored not stored refs pending

Tight lower bounds for the complexity of multicoloring

Arkadiusz Soca{\l}a, {\L}ukasz Kowalik, Marcin Wrochna, Marthe Bonamy, Micha{\l} Pilipczuk

arxiv:1607.03432 v3 · 2016-07-12 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDZBAIOTLKTVD44VHRRCCBN3D2}

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	2026-05-18T00:50:35.548832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20f21021d35aa751f3953c622105bb1eafb04a29aec7bc3cf3992d943184d84f

Aliases

arxiv: 1607.03432 · arxiv_version: 1607.03432v3 · doi: 10.48550/arxiv.1607.03432 · pith_short_12: EDZBAIOTLKTV · pith_short_16: EDZBAIOTLKTVD44V · pith_short_8: EDZBAIOT

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/EDZBAIOTLKTVD44VHRRCCBN3D2 \
  | 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: 20f21021d35aa751f3953c622105bb1eafb04a29aec7bc3cf3992d943184d84f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a400e6552bc626ce67962620eb685e3f2334ea73fb1314763b1c98f02721c70a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-12T16:38:13Z",
    "title_canon_sha256": "252ee49036c14314eeb87c2cd2f07fbf48e3c620439fb73eceacce7f8b10266b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03432",
    "kind": "arxiv",
    "version": 3
  }
}