Pith Number

pith:UTQE53H2

pith:2019:UTQE53H2DZCJHEIPTNMUAQRN7G

not attested not anchored not stored refs pending

A note on the distribution of major index for Schr\"oder paths

Xiaomei Chen

arxiv:1906.09018 v1 · 2019-06-21 · 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{UTQE53H2DZCJHEIPTNMUAQRN7G}

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	2026-05-17T23:42:47.043970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e04eecfa1e4493910f9b5940422df988ec93464e511fbfdbfc10998e5d908c

Aliases

arxiv: 1906.09018 · arxiv_version: 1906.09018v1 · doi: 10.48550/arxiv.1906.09018 · pith_short_12: UTQE53H2DZCJ · pith_short_16: UTQE53H2DZCJHEIP · pith_short_8: UTQE53H2

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/UTQE53H2DZCJHEIPTNMUAQRN7G \
  | 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: a4e04eecfa1e4493910f9b5940422df988ec93464e511fbfdbfc10998e5d908c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa99f8140f8b08cd267daa08fe018a1257bfc8307a72278cd4f0bf7c6837abe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-21T09:08:34Z",
    "title_canon_sha256": "955517986594a48fc7a85d1ca6024a9d1b4392d9f4adbfcc49d5cb591d64c640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09018",
    "kind": "arxiv",
    "version": 1
  }
}