Pith Number

pith:KZCOAODC

pith:2010:KZCOAODCLRNGPYSCCLAMACGD7T

not attested not anchored not stored refs pending

Quasi-randomness of graph balanced cut properties

Choongbum Lee, Hao Huang

arxiv:1009.2307 v3 · 2010-09-13 · 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{KZCOAODCLRNGPYSCCLAMACGD7T}

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	2026-05-18T04:22:29.632876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5644e038625c5a67e24212c0c008c3fcff215d71a2794aa42432c717a8b56c3a

Aliases

arxiv: 1009.2307 · arxiv_version: 1009.2307v3 · doi: 10.48550/arxiv.1009.2307 · pith_short_12: KZCOAODCLRNG · pith_short_16: KZCOAODCLRNGPYSC · pith_short_8: KZCOAODC

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/KZCOAODCLRNGPYSCCLAMACGD7T \
  | 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: 5644e038625c5a67e24212c0c008c3fcff215d71a2794aa42432c717a8b56c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65a2cb4a0f4b628e76beb5046459619319f814023cd46b8047e7970b052d430",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-13T06:56:59Z",
    "title_canon_sha256": "cbaece0432de0a0d4eebbe5a4f7033ef29ecf86e810e26e977fc5b56ccab8911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2307",
    "kind": "arxiv",
    "version": 3
  }
}