Pith Number

pith:23XCIPWZ

pith:2015:23XCIPWZ22JC67QANZEHGZG5ZK

not attested not anchored not stored refs pending

Kloosterman sums and Maass cusp forms of half integral weight for the modular group

Nickolas Andersen, Scott Ahlgren

arxiv:1510.05191 v2 · 2015-10-18 · 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{23XCIPWZ22JC67QANZEHGZG5ZK}

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	2026-05-18T01:26:09.355210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ee243ed9d6922f7e006e487364ddca9265714d89b636a6707f4b7e8bb7f351

Aliases

arxiv: 1510.05191 · arxiv_version: 1510.05191v2 · doi: 10.48550/arxiv.1510.05191 · pith_short_12: 23XCIPWZ22JC · pith_short_16: 23XCIPWZ22JC67QA · pith_short_8: 23XCIPWZ

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/23XCIPWZ22JC67QANZEHGZG5ZK \
  | 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: d6ee243ed9d6922f7e006e487364ddca9265714d89b636a6707f4b7e8bb7f351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d625e450c628f453faefd2b6ea6d9c70c8290326d4f0ce239cdef60fd8c90c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-18T02:29:48Z",
    "title_canon_sha256": "f9d11f8f1b7e28acec548f0eae8d8ba7949b8e24dcaf7cdd48955aea5b6ca7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05191",
    "kind": "arxiv",
    "version": 2
  }
}