Pith Number

pith:GXZTHY5I

pith:2016:GXZTHY5IWRZ7EDFJICW7GZQ5PE

not attested not anchored not stored refs pending

Arithmetic properties of Delannoy numbers and Schr\"oder numbers

Zhi-Wei Sun

arxiv:1602.00574 v5 · 2016-02-01 · math.CO · 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{GXZTHY5IWRZ7EDFJICW7GZQ5PE}

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	2026-05-18T00:32:31.497879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f333e3a8b473f20ca940adf3661d7914a78eb27cbfef2b8f6f8990ebe02076

Aliases

arxiv: 1602.00574 · arxiv_version: 1602.00574v5 · doi: 10.48550/arxiv.1602.00574 · pith_short_12: GXZTHY5IWRZ7 · pith_short_16: GXZTHY5IWRZ7EDFJ · pith_short_8: GXZTHY5I

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/GXZTHY5IWRZ7EDFJICW7GZQ5PE \
  | 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: 35f333e3a8b473f20ca940adf3661d7914a78eb27cbfef2b8f6f8990ebe02076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43edf08b8f4c3046887cf97523d2957db2ccb6359389b5b7162764218891baad",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-01T15:59:59Z",
    "title_canon_sha256": "1f255afcd67fd5ccaf0452d12967bc6dab1e4dc9170010a0d79a760db797db90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00574",
    "kind": "arxiv",
    "version": 5
  }
}