Pith Number

pith:LXYMZ7U3

pith:2010:LXYMZ7U333JCBWIGFFZMBPZ5CZ

not attested not anchored not stored refs pending

"Divergent" Ramanujan-type supercongruences

Australia), Jes\'us Guillera (Zaragoza, NSW, Spain), Wadim Zudilin (Newcastle

arxiv:1004.4337 v4 · 2010-04-25 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXYMZ7U333JCBWIGFFZMBPZ5CZ}

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	2026-05-18T02:24:16.201643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df0ccfe9bded220d9062972c0bf3d1658c6c8b3f6418f4830bd2b1d3cec8aac

Aliases

arxiv: 1004.4337 · arxiv_version: 1004.4337v4 · doi: 10.48550/arxiv.1004.4337 · pith_short_12: LXYMZ7U333JC · pith_short_16: LXYMZ7U333JCBWIG · pith_short_8: LXYMZ7U3

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/LXYMZ7U333JCBWIGFFZMBPZ5CZ \
  | 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: 5df0ccfe9bded220d9062972c0bf3d1658c6c8b3f6418f4830bd2b1d3cec8aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26af0b18b19266219800f492574c9b1aa68924e225373ec12e60bc8b9c3c895e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-25T08:35:38Z",
    "title_canon_sha256": "defc8e978110eb1699daf20a69b3ca81ccb4ea6199331d2f63b42073eee4d38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4337",
    "kind": "arxiv",
    "version": 4
  }
}