Pith Number

pith:JQVW3ZXL

pith:2011:JQVW3ZXLSFFQ5RE3TDIMZRMS66

not attested not anchored not stored refs pending

A Maass Lifting of $\Theta^3$ and Class Numbers of Real and imaginary Quadratic Fields

Matthias Waldherr, Robert C. Rhoades

arxiv:1106.0268 v1 · 2011-06-01 · 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{JQVW3ZXLSFFQ5RE3TDIMZRMS66}

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	2026-05-18T04:20:51.628458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2b6de6eb914b0ec49b98d0ccc592f79d79fe67fa1e2ec2f1c17efbbdefc7b7

Aliases

arxiv: 1106.0268 · arxiv_version: 1106.0268v1 · doi: 10.48550/arxiv.1106.0268 · pith_short_12: JQVW3ZXLSFFQ · pith_short_16: JQVW3ZXLSFFQ5RE3 · pith_short_8: JQVW3ZXL

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/JQVW3ZXLSFFQ5RE3TDIMZRMS66 \
  | 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: 4c2b6de6eb914b0ec49b98d0ccc592f79d79fe67fa1e2ec2f1c17efbbdefc7b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e139291fa36e60f73dbd9d19a4c3b64f435c97421eb4d04dc9d6581106110b60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-01T17:52:14Z",
    "title_canon_sha256": "1762fb62ca9b1b38eb34b753790e689b73b3a997aa6f750c963172299a484078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0268",
    "kind": "arxiv",
    "version": 1
  }
}