Pith Number

pith:LN4UB6JF

pith:2014:LN4UB6JFEFJXOR3GF6ZD5PW2EB

not attested not anchored not stored refs pending

On color-critical ($P_{5},\overline{P}_5$)-free graphs

Ang\`ele M. Hamel, Ch\'inh T. Ho\`ang, Fr\'ed\'eric Maffray, Harjinder S. Dhaliwal, Stefan A. Panait, Tyler J. D. McConnell

arxiv:1403.8027 v2 · 2014-03-31 · 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{LN4UB6JFEFJXOR3GF6ZD5PW2EB}

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	2026-05-18T02:32:38.853939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7940f92521537747662fb23ebeda204f3e20eebf17a457cc06ec84f07c0f07

Aliases

arxiv: 1403.8027 · arxiv_version: 1403.8027v2 · doi: 10.48550/arxiv.1403.8027 · pith_short_12: LN4UB6JFEFJX · pith_short_16: LN4UB6JFEFJXOR3G · pith_short_8: LN4UB6JF

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/LN4UB6JFEFJXOR3GF6ZD5PW2EB \
  | 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: 5b7940f92521537747662fb23ebeda204f3e20eebf17a457cc06ec84f07c0f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abb12b7b2451217254698b4667f383232983d408ded4020f6e7592737577a31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-31T14:47:40Z",
    "title_canon_sha256": "d3ca4b9993bb58480c437327741edc8550e77ffe547f179fd15c138b07c10889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.8027",
    "kind": "arxiv",
    "version": 2
  }
}