Pith Number

pith:M2JLMLXK

pith:2017:M2JLMLXKGHOFWM5VCEPPPXADVN

not attested not anchored not stored refs pending

Induced 2-degenerate Subgraphs of Triangle-free Planar Graphs

Tom Kelly, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1709.04036 v2 · 2017-09-12 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2JLMLXKGHOFWM5VCEPPPXADVN}

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	2026-05-18T00:22:58.751926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6692b62eea31dc5b33b5111ef7dc03ab586e37dd5bab3b2da951f9dae3286063

Aliases

arxiv: 1709.04036 · arxiv_version: 1709.04036v2 · doi: 10.48550/arxiv.1709.04036 · pith_short_12: M2JLMLXKGHOF · pith_short_16: M2JLMLXKGHOFWM5V · pith_short_8: M2JLMLXK

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/M2JLMLXKGHOFWM5VCEPPPXADVN \
  | 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: 6692b62eea31dc5b33b5111ef7dc03ab586e37dd5bab3b2da951f9dae3286063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d78570684ba4958907136208bdf0bd892fa2f61000760eed5b80b2626298165",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-12T19:34:29Z",
    "title_canon_sha256": "3043e268ba709ca011e56e1b174989aed9e86d9784498b1042f733c5cd3e4bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04036",
    "kind": "arxiv",
    "version": 2
  }
}