Pith Number

pith:MCZJ2T5I

pith:2018:MCZJ2T5IUVMSKALCUEHMUZINKL

not attested not anchored not stored refs pending

The Queue-Number of Posets of Bounded Width or Height

Kolja Knauer, Piotr Micek, Torsten Ueckerdt

arxiv:1806.04489 v4 · 2018-06-12 · 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{MCZJ2T5IUVMSKALCUEHMUZINKL}

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	2026-05-18T00:06:20.154152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b29d4fa8a559250162a10eca650d52fa3d13f2dc22c82260a7b60d2230ffef

Aliases

arxiv: 1806.04489 · arxiv_version: 1806.04489v4 · doi: 10.48550/arxiv.1806.04489 · pith_short_12: MCZJ2T5IUVMS · pith_short_16: MCZJ2T5IUVMSKALC · pith_short_8: MCZJ2T5I

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/MCZJ2T5IUVMSKALCUEHMUZINKL \
  | 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: 60b29d4fa8a559250162a10eca650d52fa3d13f2dc22c82260a7b60d2230ffef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487e2938fbd9fede8ba5a6a1d520dbd05bb3f118c4a78e366b2262643dc39090",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-12T13:18:24Z",
    "title_canon_sha256": "ceaf1d1934eb2b7e07205a27856c122d9f7141574ac7dc77afde6dc48c58a44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04489",
    "kind": "arxiv",
    "version": 4
  }
}