Pith Number

pith:W34MIO2L

pith:2025:W34MIO2L7QP427TOYOSUJ6NJVD

not attested not anchored not stored refs pending

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher

Chen Wang, Victor J. W. Guo

arxiv:2501.09626 v1 · 2025-01-16 · 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{W34MIO2L7QP427TOYOSUJ6NJVD}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:01:49.946526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f8c43b4bfc1fcd7e6ec3a544f9a9a8dc8cb43063287e4edda8029addf2401d

Aliases

arxiv: 2501.09626 · arxiv_version: 2501.09626v1 · doi: 10.48550/arxiv.2501.09626 · pith_short_12: W34MIO2L7QP4 · pith_short_16: W34MIO2L7QP427TO · pith_short_8: W34MIO2L

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/W34MIO2L7QP427TOYOSUJ6NJVD \
  | 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: b6f8c43b4bfc1fcd7e6ec3a544f9a9a8dc8cb43063287e4edda8029addf2401d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d1aa32273c096b9afa60793e67deb8ccc42140a9e0e640c5db0ec53f14fde8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-16T16:16:39Z",
    "title_canon_sha256": "ac246b23a3a010d49b900cc4ebde4a31903bac1a9801c4a93b572140839d4a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09626",
    "kind": "arxiv",
    "version": 1
  }
}