Pith Number

pith:RWB7JIEK

pith:2024:RWB7JIEK3OPNBFPRCJDXYNT6EF

not attested not anchored not stored refs pending

Bessel periods and Selmer groups over ordinary Rankin--Selberg eigenvariety

Yifeng Liu

arxiv:2412.18881 v1 · 2024-12-25 · 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{RWB7JIEK3OPNBFPRCJDXYNT6EF}

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	2026-07-05T09:54:12.381887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d83f4a08adb9ed095f112477c367e2149b5b0637bc2d841887d4035c6400cdb

Aliases

arxiv: 2412.18881 · arxiv_version: 2412.18881v1 · doi: 10.48550/arxiv.2412.18881 · pith_short_12: RWB7JIEK3OPN · pith_short_16: RWB7JIEK3OPNBFPR · pith_short_8: RWB7JIEK

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/RWB7JIEK3OPNBFPRCJDXYNT6EF \
  | 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: 8d83f4a08adb9ed095f112477c367e2149b5b0637bc2d841887d4035c6400cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529f168479e0f0addf047080411b1765e4df3f99fe1a877beb44e4bc673a6304",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-25T11:42:59Z",
    "title_canon_sha256": "56008c7a090015699d1637687dfb69bdd4d9ef7252264805be7acc3865e53d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18881",
    "kind": "arxiv",
    "version": 1
  }
}