Pith Number

pith:3LW7GI44

pith:2017:3LW7GI44ZD4F4S2AL4YTBT2DBM

not attested not anchored not stored refs pending

Tight Nordhaus-Gaddum-type upper bound for total-rainbow connection number of graphs

Colton Magnant, Jingshu Zhang, Wenjing Li, Xueliang Li

arxiv:1703.04065 v3 · 2017-03-12 · 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{3LW7GI44ZD4F4S2AL4YTBT2DBM}

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	2026-05-18T00:47:37.820013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daedf3239cc8f85e4b405f3130cf430b154e91e3f87ed96db9eb2a998b18e415

Aliases

arxiv: 1703.04065 · arxiv_version: 1703.04065v3 · doi: 10.48550/arxiv.1703.04065 · pith_short_12: 3LW7GI44ZD4F · pith_short_16: 3LW7GI44ZD4F4S2A · pith_short_8: 3LW7GI44

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/3LW7GI44ZD4F4S2AL4YTBT2DBM \
  | 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: daedf3239cc8f85e4b405f3130cf430b154e91e3f87ed96db9eb2a998b18e415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b825be44c51b62db8f9c28d2a66e9f918b960a5fb2d5b238bec1a7f8bace065f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-12T03:14:31Z",
    "title_canon_sha256": "321faa059c000c39a0909b0eb671547b034e9320ce03235c14545ee4d95b4408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04065",
    "kind": "arxiv",
    "version": 3
  }
}