Pith Number

pith:O4W76CDA

pith:2017:O4W76CDAPHVN2LIZ2UB4P655XJ

not attested not anchored not stored refs pending

Chromatic bounds for some classes of $2K_2$-free graphs

Suchismita Mishra, T. Karthick

arxiv:1702.00622 v2 · 2017-02-02 · 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{O4W76CDAPHVN2LIZ2UB4P655XJ}

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	2026-05-18T00:23:45.974501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772dff086079eadd2d19d503c7fbbdba6867a06023afc60e6b13f96d5d0ff838

Aliases

arxiv: 1702.00622 · arxiv_version: 1702.00622v2 · doi: 10.48550/arxiv.1702.00622 · pith_short_12: O4W76CDAPHVN · pith_short_16: O4W76CDAPHVN2LIZ · pith_short_8: O4W76CDA

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/O4W76CDAPHVN2LIZ2UB4P655XJ \
  | 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: 772dff086079eadd2d19d503c7fbbdba6867a06023afc60e6b13f96d5d0ff838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb943085a8c9f014251183d2fdc997494586e11d0e611316318c981a2110956",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-02-02T11:22:23Z",
    "title_canon_sha256": "2c32046e8a8f70326c133440d4b1a1a9bd93e51b41d6ce1796a9cf8716eb59a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00622",
    "kind": "arxiv",
    "version": 2
  }
}