Pith Number

pith:BW7IHNUC

pith:2026:BW7IHNUCNEGBPKMTRTKLJD5GQI

not attested not anchored not stored refs pending

On explicit Fourier expansions of theta lifts to ${\rm SO}(3,n+1)$ arising from elliptic newforms of level one

Henry H. Kim, Takuya Yamauchi

arxiv:2606.05549 v1 · 2026-06-04 · 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{BW7IHNUCNEGBPKMTRTKLJD5GQI}

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	2026-06-05T01:14:54.466326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbe83b682690c17a9938cd4b48fa6822f4175c4d61193967f8ee9cc6d87f087

Aliases

arxiv: 2606.05549 · arxiv_version: 2606.05549v1 · doi: 10.48550/arxiv.2606.05549 · pith_short_12: BW7IHNUCNEGB · pith_short_16: BW7IHNUCNEGBPKMT · pith_short_8: BW7IHNUC

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/BW7IHNUCNEGBPKMTRTKLJD5GQI \
  | 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: 0dbe83b682690c17a9938cd4b48fa6822f4175c4d61193967f8ee9cc6d87f087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c63c2f0eb1337bef462ebb0639989a33a793f301e36d6f4fdb5f62d1b63666a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-04T01:01:56Z",
    "title_canon_sha256": "d6e401ed40610b483842dc0ada73c0bd989ce8b19fcf1be08b81f1ee92e0baeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05549",
    "kind": "arxiv",
    "version": 1
  }
}