Pith Number

pith:TPDQGFOB

pith:2018:TPDQGFOBSKHFKJMPOFK44OBPUI

not attested not anchored not stored refs pending

On the $k$-independence number of graphs

A. Abiad, G. Coutinho, M. A. Fiol

arxiv:1803.07042 v2 · 2018-03-19 · 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{TPDQGFOBSKHFKJMPOFK44OBPUI}

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	2026-05-18T00:07:17.895724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc70315c1928e55258f7155ce382fa21836bd264caa1dc1b0d6b354a1c2aae1

Aliases

arxiv: 1803.07042 · arxiv_version: 1803.07042v2 · doi: 10.48550/arxiv.1803.07042 · pith_short_12: TPDQGFOBSKHF · pith_short_16: TPDQGFOBSKHFKJMP · pith_short_8: TPDQGFOB

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/TPDQGFOBSKHFKJMPOFK44OBPUI \
  | 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: 9bc70315c1928e55258f7155ce382fa21836bd264caa1dc1b0d6b354a1c2aae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9037f028e686874596da97c9d1610b9b743f2f16dc1d309e8ca87efef05165b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-19T17:13:36Z",
    "title_canon_sha256": "b33cb496476acbea4d458b8872df8f75cb1390fb24a9cb0b1efc999bdebc32ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07042",
    "kind": "arxiv",
    "version": 2
  }
}