Pith Number

pith:ME24QAR5

pith:2018:ME24QAR5U5KXCSTCZNOHXDCRPO

not attested not anchored not stored refs pending

Some properties of a new partial order on Dyck paths

Fr\'ed\'eric Chapoton (IRMA)

arxiv:1809.10981 v1 · 2018-09-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ME24QAR5U5KXCSTCZNOHXDCRPO}

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	2026-05-18T00:04:33.721024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6135c8023da755714a62cb5c7b8c517b95816d960d09f33d91c040e43a697810

Aliases

arxiv: 1809.10981 · arxiv_version: 1809.10981v1 · doi: 10.48550/arxiv.1809.10981 · pith_short_12: ME24QAR5U5KX · pith_short_16: ME24QAR5U5KXCSTC · pith_short_8: ME24QAR5

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/ME24QAR5U5KXCSTCZNOHXDCRPO \
  | 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: 6135c8023da755714a62cb5c7b8c517b95816d960d09f33d91c040e43a697810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee817b2bf29476b0f0d6819ad861f59379324f96ee138609caf27508fcf0918f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-28T12:09:53Z",
    "title_canon_sha256": "b757fbd620f614ea2185e65dc9123bc445a2e48ddbc98dc643a1e6445ab3f472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10981",
    "kind": "arxiv",
    "version": 1
  }
}