Pith Number

pith:52JQNGFU

pith:2025:52JQNGFU4M2ATUDG4Q4PPPBLOK

not attested not anchored not stored refs pending

Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature $(2, n)$

Paul Kiefer

arxiv:2503.15123 v1 · 2025-03-19 · 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{52JQNGFU4M2ATUDG4Q4PPPBLOK}

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	2026-07-05T10:34:46.679615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee930698b4e33409d066e438f7bc2b728c690beacd546b0d3f92fa8ea4217ebc

Aliases

arxiv: 2503.15123 · arxiv_version: 2503.15123v1 · doi: 10.48550/arxiv.2503.15123 · pith_short_12: 52JQNGFU4M2A · pith_short_16: 52JQNGFU4M2ATUDG · pith_short_8: 52JQNGFU

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/52JQNGFU4M2ATUDG4Q4PPPBLOK \
  | 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: ee930698b4e33409d066e438f7bc2b728c690beacd546b0d3f92fa8ea4217ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "423899b3451a23f33e7193676b42969941874cb20e58fa164792366b778895f8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-19T11:31:26Z",
    "title_canon_sha256": "bbddaa24a3f8a1d4901cdeca690a8acf44c85e709785863ffa087bbf739f4bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.15123",
    "kind": "arxiv",
    "version": 1
  }
}