Pith Number

pith:DPKOSXGR

pith:2016:DPKOSXGRR5LHJ5JIG4BXILPE6Y

not attested not anchored not stored refs pending

Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5

Ryotaro Osanai, Toshiki Matsusaka

arxiv:1602.06532 v3 · 2016-02-21 · 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{DPKOSXGRR5LHJ5JIG4BXILPE6Y}

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	2026-05-18T00:47:43.070062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd4e95cd18f5674f5283703742de4f631fafa831ad0e546e80ec92937b9462e

Aliases

arxiv: 1602.06532 · arxiv_version: 1602.06532v3 · doi: 10.48550/arxiv.1602.06532 · pith_short_12: DPKOSXGRR5LH · pith_short_16: DPKOSXGRR5LHJ5JI · pith_short_8: DPKOSXGR

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/DPKOSXGRR5LHJ5JIG4BXILPE6Y \
  | 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: 1bd4e95cd18f5674f5283703742de4f631fafa831ad0e546e80ec92937b9462e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4934aef2dc92e1dbdcaff7836921587d0c91f1b80bcadd6ec034cb1f5811b71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-21T14:23:33Z",
    "title_canon_sha256": "1dca61c0527eabb93386237d5aedd4b2b2599fe190ee21ff53a11a055e49d258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06532",
    "kind": "arxiv",
    "version": 3
  }
}