Pith Number

pith:ORGZBJGJ

pith:2013:ORGZBJGJLNPKJMB2EM7HHFDUW7

not attested not anchored not stored refs pending

Four transformations on the Catalan triangle

Fei Ma, Yidong Sun

arxiv:1305.2017 v1 · 2013-05-09 · 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{ORGZBJGJLNPKJMB2EM7HHFDUW7}

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.

Cited by

6 papers in Pith

Quick Adaptive Ternary Segmentation: An Efficient Decoding Procedure For Hidden Markov Models

Integrable Elasticity via Neural Demand Potentials

StereoTales: A Multilingual Framework for Open-Ended Stereotype Discovery in LLMs

Horizon-Aware Forecasting of Passenger Assistance Demand for Rail Station Workforce Planning

Receipt and verification

First computed	2026-05-18T03:26:09.557104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

744d90a4c95b5ea4b03a233e739474b7eb351b9c09a1aaf85cc50992a160700b

Aliases

arxiv: 1305.2017 · arxiv_version: 1305.2017v1 · doi: 10.48550/arxiv.1305.2017 · pith_short_12: ORGZBJGJLNPK · pith_short_16: ORGZBJGJLNPKJMB2 · pith_short_8: ORGZBJGJ

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/ORGZBJGJLNPKJMB2EM7HHFDUW7 \
  | 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: 744d90a4c95b5ea4b03a233e739474b7eb351b9c09a1aaf85cc50992a160700b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "096d6a866a7da5b907acbea151e14bc57047a08d880907d4a41aa0198a9d7487",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-09T06:57:50Z",
    "title_canon_sha256": "51b495d24e1dc4d2804e27df6efb5cd40d081f8717b04e62af1738b2e6c3f5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2017",
    "kind": "arxiv",
    "version": 1
  }
}