Pith Number

pith:RMOJEVDH

pith:2016:RMOJEVDHSSOPJFTK7SIZWQO7PV

not attested not anchored not stored refs pending

Sums of powers of Catalan triangle numbers

Hideyuki Ohtsuka, Natalia Romero, Pedro J. Miana

arxiv:1602.04347 v1 · 2016-02-13 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMOJEVDHSSOPJFTK7SIZWQO7PV}

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	2026-05-18T01:20:51.178798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b1c925467949cf4966afc919b41df7d4bb0d95f64da2c0f0c28a9f5af2dd5ab

Aliases

arxiv: 1602.04347 · arxiv_version: 1602.04347v1 · doi: 10.48550/arxiv.1602.04347 · pith_short_12: RMOJEVDHSSOP · pith_short_16: RMOJEVDHSSOPJFTK · pith_short_8: RMOJEVDH

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/RMOJEVDHSSOPJFTK7SIZWQO7PV \
  | 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: 8b1c925467949cf4966afc919b41df7d4bb0d95f64da2c0f0c28a9f5af2dd5ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244ce2c885a9ec1d7cd168acdb64f0eaf288d8f0959b45298c86795218dc8164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-13T15:49:40Z",
    "title_canon_sha256": "b255150261aa25fe8df29257c17f9222176a15a0c1d6c11846a946f0d4809b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04347",
    "kind": "arxiv",
    "version": 1
  }
}