Pith Number

pith:5IBKUMHN

pith:2022:5IBKUMHNHQZCEJJFMVPB4VUMOL

not attested not anchored not stored refs pending

Algebraicity of ratios of Rankin-Selberg $L$-functions and applications to Deligne's conjecture

Shih-Yu Chen

arxiv:2205.15382 v4 · 2022-05-30 · 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{5IBKUMHNHQZCEJJFMVPB4VUMOL}

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.

Cited by

2 papers in Pith

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$

Receipt and verification

First computed	2026-06-10T01:09:09.797143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea02aa30ed3c32222525655e1e568c72d19b83d030298fdb7540d5f81c8ad6c4

Aliases

arxiv: 2205.15382 · arxiv_version: 2205.15382v4 · doi: 10.48550/arxiv.2205.15382 · pith_short_12: 5IBKUMHNHQZC · pith_short_16: 5IBKUMHNHQZCEJJF · pith_short_8: 5IBKUMHN

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/5IBKUMHNHQZCEJJFMVPB4VUMOL \
  | 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: ea02aa30ed3c32222525655e1e568c72d19b83d030298fdb7540d5f81c8ad6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb32568d89a5202819cce8fa98609358f1180d9ba6308517b3265705df537f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-05-30T18:56:24Z",
    "title_canon_sha256": "9da7787d258d0181a64210cee6d3241dca0399ab6a08b96ac5fcf80d04fca767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.15382",
    "kind": "arxiv",
    "version": 4
  }
}