Pith Number

pith:QK4PJUCS

pith:2016:QK4PJUCSF23ZE4P2KQFDB4HQHS

not attested not anchored not stored refs pending

Dimension of posets with planar cover graphs excluding two long incomparable chains

Bartosz Walczak, David M. Howard, Noah Streib, Ruidong Wang, William T. Trotter

arxiv:1608.08843 v2 · 2016-08-31 · 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{QK4PJUCSF23ZE4P2KQFDB4HQHS}

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	2026-05-17T23:57:54.409479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b8f4d0522eb79271fa540a30f0f03c8f81b4fd69c6718d5c64b15c7d644908

Aliases

arxiv: 1608.08843 · arxiv_version: 1608.08843v2 · doi: 10.48550/arxiv.1608.08843 · pith_short_12: QK4PJUCSF23Z · pith_short_16: QK4PJUCSF23ZE4P2 · pith_short_8: QK4PJUCS

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/QK4PJUCSF23ZE4P2KQFDB4HQHS \
  | 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: 82b8f4d0522eb79271fa540a30f0f03c8f81b4fd69c6718d5c64b15c7d644908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "048ac01080d62ba5b63ba527bb4a6af3e3077c60ee54ece3bdd70ad3a4ae7b84",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-31T13:32:59Z",
    "title_canon_sha256": "a13d4834d570bb4ab210b3cf2aff2af23ef45bb80981cc91949554241bcd4d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08843",
    "kind": "arxiv",
    "version": 2
  }
}