Pith Number

pith:VWYREWRY

pith:2009:VWYREWRYBVXZZ24IOEELHZMOE3

not attested not anchored not stored refs pending

On maximal weakly separated set-systems

Alexander V. Karzanov, Gleb A. Koshevoy, Vladimir I. Danilov

arxiv:0909.1423 v2 · 2009-09-08 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWYREWRYBVXZZ24IOEELHZMOE3}

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	2026-05-18T04:36:08.871194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb1125a380d6f9ceb887108b3e58e26ee26f110e12f9c359a5676c261b3b5bc

Aliases

arxiv: 0909.1423 · arxiv_version: 0909.1423v2 · doi: 10.48550/arxiv.0909.1423 · pith_short_12: VWYREWRYBVXZ · pith_short_16: VWYREWRYBVXZZ24I · pith_short_8: VWYREWRY

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/VWYREWRYBVXZZ24IOEELHZMOE3 \
  | 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: adb1125a380d6f9ceb887108b3e58e26ee26f110e12f9c359a5676c261b3b5bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d58be8707049378d07a252aeaf8d5117e9f92de802a65f7bac89610e2ba750",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-08T08:33:59Z",
    "title_canon_sha256": "f7dd9a2f291d7dffaf6907b7ceb561c0354359611f9a5fdacd1e6eb8a717b279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1423",
    "kind": "arxiv",
    "version": 2
  }
}