Pith Number

pith:2JQIPPNM

pith:2025:2JQIPPNMYUY3BP5ZYTCP2HQXK4

not attested not anchored not stored refs pending

A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers

Wei-Wei Qi

arxiv:2507.16825 v1 · 2025-07-05 · 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{2JQIPPNMYUY3BP5ZYTCP2HQXK4}

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	2026-07-05T11:41:56.628854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26087bdacc531b0bfb9c4c4fd1e175717f495b601af03bf128795bb69875edf

Aliases

arxiv: 2507.16825 · arxiv_version: 2507.16825v1 · doi: 10.48550/arxiv.2507.16825 · pith_short_12: 2JQIPPNMYUY3 · pith_short_16: 2JQIPPNMYUY3BP5Z · pith_short_8: 2JQIPPNM

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/2JQIPPNMYUY3BP5ZYTCP2HQXK4 \
  | 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: d26087bdacc531b0bfb9c4c4fd1e175717f495b601af03bf128795bb69875edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "118ac913ead5a6f59ce1e1ef731ff8ed1e850d74d1bfcd78bb007352c6f94c0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-05T00:15:20Z",
    "title_canon_sha256": "1f48d3ba252bbf6cb46d401b0e4b7f7ccc3a97082cebe10464259b4d258d76a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16825",
    "kind": "arxiv",
    "version": 1
  }
}