Pith Number

pith:P2VQUSHC

pith:2018:P2VQUSHCHYL4PUXEUMZ6NGQCWF

not attested not anchored not stored refs pending

Hypergeometric supercongruences

David Roberts, Fernando Rodriguez Villegas

arxiv:1803.10834 v1 · 2018-03-28 · 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{P2VQUSHCHYL4PUXEUMZ6NGQCWF}

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

Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1)

Receipt and verification

First computed	2026-05-18T00:19:48.758602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eab0a48e23e17c7d2e4a333e69a02b1442f1b8572f6aad4db33e55b5c460773

Aliases

arxiv: 1803.10834 · arxiv_version: 1803.10834v1 · doi: 10.48550/arxiv.1803.10834 · pith_short_12: P2VQUSHCHYL4 · pith_short_16: P2VQUSHCHYL4PUXE · pith_short_8: P2VQUSHC

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/P2VQUSHCHYL4PUXEUMZ6NGQCWF \
  | 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: 7eab0a48e23e17c7d2e4a333e69a02b1442f1b8572f6aad4db33e55b5c460773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a12cfc3515d562d2bd21e519184399b6e58bc02705e01efb01cace1a88c246",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-28T20:07:07Z",
    "title_canon_sha256": "3c62355bec1e7609407e25a55542b94e506a83938212055f3c9ec183a19c9bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10834",
    "kind": "arxiv",
    "version": 1
  }
}