Pith Number

pith:MBSQXMN7

pith:2025:MBSQXMN7DYI2ZRHJ6HSRZU6PWS

not attested not anchored not stored refs pending

Fourier coefficients of Eisenstein series on ${\rm SO}(3,n+1)$

Henry H. Kim, Takuya Yamauchi

arxiv:2512.03412 v5 · 2025-12-03 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBSQXMN7DYI2ZRHJ6HSRZU6PWS}

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	2026-06-03T02:05:43.859669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60650bb1bf1e11acc4e9f1e51cd3cfb497361a614351bb2a46ec6a970e527374

Aliases

arxiv: 2512.03412 · arxiv_version: 2512.03412v5 · doi: 10.48550/arxiv.2512.03412 · pith_short_12: MBSQXMN7DYI2 · pith_short_16: MBSQXMN7DYI2ZRHJ · pith_short_8: MBSQXMN7

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/MBSQXMN7DYI2ZRHJ6HSRZU6PWS \
  | 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: 60650bb1bf1e11acc4e9f1e51cd3cfb497361a614351bb2a46ec6a970e527374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d23fced5dd872e214585c20195044f3bf7940efd8f83f7dc5d4b462afe66d3f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-03T03:39:27Z",
    "title_canon_sha256": "c58565719f2b02c9f8693168ce46ea65fa613754f21635150ef06cc860876d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.03412",
    "kind": "arxiv",
    "version": 5
  }
}