Pith Number

pith:LURBG3QQ

pith:2010:LURBG3QQI2EPS6LYLOGH3GSHGG

not attested not anchored not stored refs pending

Rank-width of Random Graphs

Choongbum Lee, Joonkyung Lee, Sang-il Oum

arxiv:1001.0461 v1 · 2010-01-04 · 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{LURBG3QQI2EPS6LYLOGH3GSHGG}

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.

Cited by

1 paper in Pith

The Structure of Circle Graph States

Receipt and verification

First computed	2026-05-18T02:55:39.651482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d22136e104688f979785b8c7d9a47319ffa84cd310a631140bf306cd9e6666d

Aliases

arxiv: 1001.0461 · arxiv_version: 1001.0461v1 · doi: 10.48550/arxiv.1001.0461 · pith_short_12: LURBG3QQI2EP · pith_short_16: LURBG3QQI2EPS6LY · pith_short_8: LURBG3QQ

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/LURBG3QQI2EPS6LYLOGH3GSHGG \
  | 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: 5d22136e104688f979785b8c7d9a47319ffa84cd310a631140bf306cd9e6666d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31129f9c549d3813a2e0331b284ff1f3a5566ef76d27994dfee87d68cbc40a94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-04T08:59:46Z",
    "title_canon_sha256": "3fed732465536e8cc1a281b6c992453461703e05afac32eca3ccfb18baac2586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0461",
    "kind": "arxiv",
    "version": 1
  }
}