Pith Number

pith:43R7YYTJ

pith:2021:43R7YYTJY4O2IDNNA4A6MC7I7G

not attested not anchored not stored refs pending

An Algorithmic Meta-Theorem for Graph Modification to Planarity and FOL

Dimitrios M. Thilikos, Fedor V. Fomin, Giannos Stamoulis, Petr A. Golovach

arxiv:2106.03425 v2 · 2021-06-07 · cs.DS · cs.DM · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43R7YYTJY4O2IDNNA4A6MC7I7G}

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	2026-07-05T05:13:03.913224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e3fc6269c71da40dad0701e60be8f9ac22a068e2ab81c325d519e4516a26da

Aliases

arxiv: 2106.03425 · arxiv_version: 2106.03425v2 · doi: 10.48550/arxiv.2106.03425 · pith_short_12: 43R7YYTJY4O2 · pith_short_16: 43R7YYTJY4O2IDNN · pith_short_8: 43R7YYTJ

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/43R7YYTJY4O2IDNNA4A6MC7I7G \
  | 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: e6e3fc6269c71da40dad0701e60be8f9ac22a068e2ab81c325d519e4516a26da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128da47072e4b9fc02ac700638490c7473e1e80b6e812cb264a3a0cd844c35eb",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-06-07T08:44:25Z",
    "title_canon_sha256": "14fa526bf1a51827b4be409150c2e7dd2113aaf9da5dfad294fbc5ee359ad944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03425",
    "kind": "arxiv",
    "version": 2
  }
}