Pith Number

pith:YX7DDM5O

pith:2017:YX7DDM5O3W3DAQ2STHTSXOIVIO

not attested not anchored not stored refs pending

Orthogonal Polynomials and Lattice Path Interpretation for Higher-order Euler Polynomials

Diane Yahui Shi, Lin Jiu

arxiv:1711.07100 v4 · 2017-11-19 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YX7DDM5O3W3DAQ2STHTSXOIVIO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:08:21.351534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5fe31b3aeddb630435299e72bb91543b2d047c916955c8ecbe6b73be8b2ad30

Aliases

arxiv: 1711.07100 · arxiv_version: 1711.07100v4 · doi: 10.48550/arxiv.1711.07100 · pith_short_12: YX7DDM5O3W3D · pith_short_16: YX7DDM5O3W3DAQ2S · pith_short_8: YX7DDM5O

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/YX7DDM5O3W3DAQ2STHTSXOIVIO \
  | 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: c5fe31b3aeddb630435299e72bb91543b2d047c916955c8ecbe6b73be8b2ad30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1876602e30ea774377a5c303dd38a341bf2024369694738c5810e47385dfefd8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-19T23:14:01Z",
    "title_canon_sha256": "eaf628423d9b4591bbe52b9626557b3b95849d5d3c8cf37a59867a9eebad798c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07100",
    "kind": "arxiv",
    "version": 4
  }
}