Pith Number

pith:G7ETMC4K

pith:2013:G7ETMC4KAGPNPHWPMEPRBJLEU3

not attested not anchored not stored refs pending

Large Independent Sets in Triangle-Free Planar Graphs

Matthias Mnich, Zdenek Dvorak

arxiv:1311.2749 v2 · 2013-11-12 · 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{G7ETMC4KAGPNPHWPMEPRBJLEU3}

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	2026-05-18T02:42:14.826174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c9360b8a019ed79ecf611f10a564a6f552a754e0bead468e40129f09c5b438

Aliases

arxiv: 1311.2749 · arxiv_version: 1311.2749v2 · doi: 10.48550/arxiv.1311.2749 · pith_short_12: G7ETMC4KAGPN · pith_short_16: G7ETMC4KAGPNPHWP · pith_short_8: G7ETMC4K

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/G7ETMC4KAGPNPHWPMEPRBJLEU3 \
  | 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: 37c9360b8a019ed79ecf611f10a564a6f552a754e0bead468e40129f09c5b438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfeeef010915f7f45699aabd2439abc100f395309649ea0242b1b1b7444956e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-11-12T12:19:45Z",
    "title_canon_sha256": "a0d65224e1a2544b039717f0583fc6099ab6f11ffc1118660f828c3ae9fc136c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2749",
    "kind": "arxiv",
    "version": 2
  }
}