Pith Number

pith:BRZJ4AL2

pith:2018:BRZJ4AL2EBGNT4NQSFUZCMFQCH

not attested not anchored not stored refs pending

Improved Inapproximability of Rainbow Coloring

Aditya Potukuchi, Amey Bhangale, Per Austrin

arxiv:1810.02784 v3 · 2018-10-05 · cs.CC · cs.DM · 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{BRZJ4AL2EBGNT4NQSFUZCMFQCH}

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	2026-05-18T00:01:37.631713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c729e017a204cd9f1b091699130b011e2fd5ad2b921fd89097e0518cf6be065

Aliases

arxiv: 1810.02784 · arxiv_version: 1810.02784v3 · doi: 10.48550/arxiv.1810.02784 · pith_short_12: BRZJ4AL2EBGN · pith_short_16: BRZJ4AL2EBGNT4NQ · pith_short_8: BRZJ4AL2

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/BRZJ4AL2EBGNT4NQSFUZCMFQCH \
  | 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: 0c729e017a204cd9f1b091699130b011e2fd5ad2b921fd89097e0518cf6be065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a7744507286d10adf5c3928106cac961fd77d970799db81aca3b1ef176e4b6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-10-05T16:39:43Z",
    "title_canon_sha256": "e2634ceb2a466c72332af79236d2a389e08f41dc14eca9472a5f41ebdc5b7b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02784",
    "kind": "arxiv",
    "version": 3
  }
}