Pith Number

pith:CL4OKPRL

pith:2022:CL4OKPRLSEWPXUTOALWLUE67FJ

not attested not anchored not stored refs pending

Some new results about $q$-trinomial coefficients

Chang Xu, Xiaoxia Wang, Yifan Chen

arxiv:2202.09781 v2 · 2022-02-20 · math.NT · 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{CL4OKPRLSEWPXUTOALWLUE67FJ}

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	2026-07-05T04:01:58.707633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f8e53e2b912cfbd26e02ecba13df2a518d3a07daea6d231c235699732070d1

Aliases

arxiv: 2202.09781 · arxiv_version: 2202.09781v2 · doi: 10.48550/arxiv.2202.09781 · pith_short_12: CL4OKPRLSEWP · pith_short_16: CL4OKPRLSEWPXUTO · pith_short_8: CL4OKPRL

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/CL4OKPRLSEWPXUTOALWLUE67FJ \
  | 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: 12f8e53e2b912cfbd26e02ecba13df2a518d3a07daea6d231c235699732070d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9107017d3c16ec1d377fadbc9b489cd3604f5ee1b426babf6095f47ca0dc5b13",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-02-20T10:49:59Z",
    "title_canon_sha256": "fa15c0af1350e3322a48d6af827b8a1e0b299e057b819da98905aaee2a51194a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.09781",
    "kind": "arxiv",
    "version": 2
  }
}