Pith Number

pith:MIYDGYR4

pith:2012:MIYDGYR45GBIK2BKFMIWSOAWRA

not attested not anchored not stored refs pending

Obtaining Planarity by Contracting Few Edges

Daniel Paulusma, Petr A. Golovach, Pim van 't Hof

arxiv:1204.5113 v1 · 2012-04-23 · cs.DS · 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{MIYDGYR45GBIK2BKFMIWSOAWRA}

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	2026-05-18T03:57:14.753513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623033623ce98285682a2b1169381688297d203db02be4d91d6c7a56a1b9affb

Aliases

arxiv: 1204.5113 · arxiv_version: 1204.5113v1 · doi: 10.48550/arxiv.1204.5113 · pith_short_12: MIYDGYR45GBI · pith_short_16: MIYDGYR45GBIK2BK · pith_short_8: MIYDGYR4

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/MIYDGYR45GBIK2BKFMIWSOAWRA \
  | 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: 623033623ce98285682a2b1169381688297d203db02be4d91d6c7a56a1b9affb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8837c04c62b595c6404ee974c318b97652b173aadb13bd025f677843ad45eec2",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-04-23T17:12:35Z",
    "title_canon_sha256": "794ed4820cab97d85e2efb323c2d3473bf966285e1f176afb5b7ca5399daf4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5113",
    "kind": "arxiv",
    "version": 1
  }
}