Pith Number

pith:3ES75LUY

pith:2009:3ES75LUY62LPPXQDVJHCYP25YF

not attested not anchored not stored refs pending

Rank-width and Tree-width of H-minor-free Graphs

Dimitrios M. Thilikos, Fedor V. Fomin, Sang-il Oum

arxiv:0910.0079 v1 · 2009-10-01 · 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{3ES75LUY62LPPXQDVJHCYP25YF}

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	2026-05-18T02:55:39.696065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d925feae98f696f7de03aa4e2c3f5dc179b645a4d0eec76257b5208a0d95c803

Aliases

arxiv: 0910.0079 · arxiv_version: 0910.0079v1 · doi: 10.48550/arxiv.0910.0079 · pith_short_12: 3ES75LUY62LP · pith_short_16: 3ES75LUY62LPPXQD · pith_short_8: 3ES75LUY

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/3ES75LUY62LPPXQDVJHCYP25YF \
  | 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: d925feae98f696f7de03aa4e2c3f5dc179b645a4d0eec76257b5208a0d95c803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "600ff78125886646a2179f3d4f1c6f9c5d88649ff2cf64ae4f24df15dff8dcab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-01T05:00:25Z",
    "title_canon_sha256": "81bab6bdef3532886f882dc9740f05ce46ccace98552b1501a201caeb9db4ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0079",
    "kind": "arxiv",
    "version": 1
  }
}