Pith Number

pith:2G5LYXDR

pith:2018:2G5LYXDRHA4QO2GCZWA7NCSE4O

not attested not anchored not stored refs pending

Enumerative Results on the Schr\"oder Pattern Poset

Lapo Cioni, Luca Ferrari

arxiv:1807.08648 v1 · 2018-07-23 · math.CO · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2G5LYXDRHA4QO2GCZWA7NCSE4O}

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	2026-05-18T00:10:05.197447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1babc5c7138390768c2cd81f68a44e381ca25665aea23640e4c02eb862123ff

Aliases

arxiv: 1807.08648 · arxiv_version: 1807.08648v1 · doi: 10.48550/arxiv.1807.08648 · pith_short_12: 2G5LYXDRHA4Q · pith_short_16: 2G5LYXDRHA4QO2GC · pith_short_8: 2G5LYXDR

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/2G5LYXDRHA4QO2GCZWA7NCSE4O \
  | 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: d1babc5c7138390768c2cd81f68a44e381ca25665aea23640e4c02eb862123ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7eabe355cfcfeb07c121ad06e2be95d71a0483f624f27e9e8143f72f9ef016",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-23T14:46:14Z",
    "title_canon_sha256": "40c21ffe7ccc091b77034541de19725b4613da4c190c1cf9f7e4cb728d6e2a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08648",
    "kind": "arxiv",
    "version": 1
  }
}