Pith Number

pith:FZCIBY3I

pith:2016:FZCIBY3IZPVB7CX7KGO5ULKSI7

not attested not anchored not stored refs pending

A new approach to Catalan numbers using differential equations

Dae San Kim, Taekyun Kim

arxiv:1605.05927 v1 · 2016-05-19 · 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{FZCIBY3IZPVB7CX7KGO5ULKSI7}

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	2026-05-18T01:14:27.970363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4480e368cbea1f8aff519dda2d5247fb096f70d6605f925ff1bac94e5c6a55

Aliases

arxiv: 1605.05927 · arxiv_version: 1605.05927v1 · doi: 10.48550/arxiv.1605.05927 · pith_short_12: FZCIBY3IZPVB · pith_short_16: FZCIBY3IZPVB7CX7 · pith_short_8: FZCIBY3I

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/FZCIBY3IZPVB7CX7KGO5ULKSI7 \
  | 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: 2e4480e368cbea1f8aff519dda2d5247fb096f70d6605f925ff1bac94e5c6a55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4204a404bdc056a28b06c2bc723bec392b583fd53396ac0db7ab39c444c67f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-19T12:54:59Z",
    "title_canon_sha256": "93a848f3d11e27c042a28fd855ed8e89a639e38eb489f9b6da169eabb7a19a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05927",
    "kind": "arxiv",
    "version": 1
  }
}