Pith Number

pith:SLIDBNV6

pith:2016:SLIDBNV67MFM66YA6SZHSFYI7X

not attested not anchored not stored refs pending

Identities involving weighted Catalan, Schroder and Motzkin paths

Hao Pan, Zhi Chen

arxiv:1608.02448 v2 · 2016-08-08 · 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{SLIDBNV67MFM66YA6SZHSFYI7X}

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	2026-05-18T01:08:37.516583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d030b6befb0acf7b00f4b2791708fdd82c02d2791d127d1e84614673529719

Aliases

arxiv: 1608.02448 · arxiv_version: 1608.02448v2 · doi: 10.48550/arxiv.1608.02448 · pith_short_12: SLIDBNV67MFM · pith_short_16: SLIDBNV67MFM66YA · pith_short_8: SLIDBNV6

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/SLIDBNV67MFM66YA6SZHSFYI7X \
  | 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: 92d030b6befb0acf7b00f4b2791708fdd82c02d2791d127d1e84614673529719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02661fcd323c34714c58cd9b094d84473b45314eb31d0910018e37b8ac09cb6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-08T14:24:25Z",
    "title_canon_sha256": "13e3bc643a11f6d2194dcfa5846d4bd41c5e9e453f14f05f3d91b4a76b8fc91e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02448",
    "kind": "arxiv",
    "version": 2
  }
}