Pith Number

pith:IQ24525M

pith:2012:IQ24525MG7RAAIFKRHKQROIXDA

not attested not anchored not stored refs pending

Graphs of Small Rank-width are Pivot-minors of Graphs of Small Tree-width

O-joung Kwon, Sang-il Oum

arxiv:1203.3606 v2 · 2012-03-16 · 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{IQ24525MG7RAAIFKRHKQROIXDA}

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	2026-05-18T02:55:39.451542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4435ceebac37e20020aa89d508b9171814650953b2d94a6ff6ec6e722f94c9bb

Aliases

arxiv: 1203.3606 · arxiv_version: 1203.3606v2 · doi: 10.48550/arxiv.1203.3606 · pith_short_12: IQ24525MG7RA · pith_short_16: IQ24525MG7RAAIFK · pith_short_8: IQ24525M

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/IQ24525MG7RAAIFKRHKQROIXDA \
  | 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: 4435ceebac37e20020aa89d508b9171814650953b2d94a6ff6ec6e722f94c9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e125b62785e6c4a66d5f7c137aae220ecc202e528437f73e21cd4c3f0d49f4a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-16T02:53:22Z",
    "title_canon_sha256": "aa1a08c86d34fd2fa11329a91b8b404aad3d2b261a51aac0ad4b5105a005a2c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3606",
    "kind": "arxiv",
    "version": 2
  }
}