Pith Number

pith:5ELRUGED

pith:2021:5ELRUGEDMJOUWAUOWR3QRJOKIZ

not attested not anchored not stored refs pending

A planar network proof for Hankel total positivity of type $B$ Narayana polynomials

Arthur L.B. Yang, Candice X.T. Zhang, Ethan Y.H. Li, Grace M.X. Li

arxiv:2107.10608 v1 · 2021-07-22 · 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{5ELRUGEDMJOUWAUOWR3QRJOKIZ}

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	2026-07-05T03:00:01.713745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9171a1883625d4b028eb47708a5ca465e4a71dee5adf8388fd0fa26729c24d4

Aliases

arxiv: 2107.10608 · arxiv_version: 2107.10608v1 · doi: 10.48550/arxiv.2107.10608 · pith_short_12: 5ELRUGEDMJOU · pith_short_16: 5ELRUGEDMJOUWAUO · pith_short_8: 5ELRUGED

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/5ELRUGEDMJOUWAUOWR3QRJOKIZ \
  | 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: e9171a1883625d4b028eb47708a5ca465e4a71dee5adf8388fd0fa26729c24d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e1328d43a69a9a46a5157246078bf8896dc81d6d9dc3c5d0ebfd5a022e487ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-07-22T12:25:55Z",
    "title_canon_sha256": "82914f562ee479123d75850ab036b61cd958435ef78b0123a58dd0e30ae52477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10608",
    "kind": "arxiv",
    "version": 1
  }
}