Pith Number

pith:C32BPQVV

pith:2023:C32BPQVVZLE3TWZOLOMAMOJI43

not attested not anchored not stored refs pending

Some Lucas-type congruences for q-trinomial coefficients

Xiaoxia Wang, Yifan Chen

arxiv:2305.00396 v2 · 2023-04-30 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C32BPQVVZLE3TWZOLOMAMOJI43}

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	2026-07-05T06:06:19.794951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f417c2b5cac9b9db2e5b98063928e6f239ee907e4c9230bb515a3824c30770

Aliases

arxiv: 2305.00396 · arxiv_version: 2305.00396v2 · doi: 10.48550/arxiv.2305.00396 · pith_short_12: C32BPQVVZLE3 · pith_short_16: C32BPQVVZLE3TWZO · pith_short_8: C32BPQVV

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/C32BPQVVZLE3TWZOLOMAMOJI43 \
  | 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: 16f417c2b5cac9b9db2e5b98063928e6f239ee907e4c9230bb515a3824c30770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edce8bde0377032b19516909031eab50b9a9a880d1284e9d738d4bee1fa65ec0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-04-30T05:35:00Z",
    "title_canon_sha256": "c1d832879c5a7a0c4a3e1a2c47e62646c3c5aa33864117b784c4de95240a21b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.00396",
    "kind": "arxiv",
    "version": 2
  }
}