Pith Number

pith:S2ZLX7A3

pith:2010:S2ZLX7A3JGVKY2MB7QEXFCR5WB

not attested not anchored not stored refs pending

Cover-Decomposition and Polychromatic Numbers

Alex Scott, B\'ela Bollob\'as, David Pritchard, Thomas Rothvo{\ss}

arxiv:1009.6144 v3 · 2010-09-30 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2ZLX7A3JGVKY2MB7QEXFCR5WB}

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	2026-05-18T03:54:39.618153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b2bbfc1b49aaac6981fc09728a3db07d90026b7f98f3b3c59ddf8ea0cdf977

Aliases

arxiv: 1009.6144 · arxiv_version: 1009.6144v3 · doi: 10.48550/arxiv.1009.6144 · pith_short_12: S2ZLX7A3JGVK · pith_short_16: S2ZLX7A3JGVKY2MB · pith_short_8: S2ZLX7A3

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/S2ZLX7A3JGVKY2MB7QEXFCR5WB \
  | 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: 96b2bbfc1b49aaac6981fc09728a3db07d90026b7f98f3b3c59ddf8ea0cdf977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b473ef03afe77fb64181dad7985546e7aee38b244d5cfe723cf3174fabfc521",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-30T14:13:19Z",
    "title_canon_sha256": "cec341128182bb429150a55924b0a6d248de04b979c8f4a60063f1de179960ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6144",
    "kind": "arxiv",
    "version": 3
  }
}