Pith Number

pith:WDPPC74S

pith:2025:WDPPC74SASVYB7KM7YM2FI4PZ6

not attested not anchored not stored refs pending

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 1: Poisson summation

Yuhao Cheng

arxiv:2505.18967 v3 · 2025-05-25 · 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{WDPPC74SASVYB7KM7YM2FI4PZ6}

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

1 paper in Pith

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic parts

Receipt and verification

First computed	2026-07-28T01:22:20.437267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0def17f9204ab80fd4cfe19a2a38fcf916eae6940fb3ede6800c110b9d62d32

Aliases

arxiv: 2505.18967 · arxiv_version: 2505.18967v3 · doi: 10.48550/arxiv.2505.18967 · pith_short_12: WDPPC74SASVY · pith_short_16: WDPPC74SASVYB7KM · pith_short_8: WDPPC74S

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/WDPPC74SASVYB7KM7YM2FI4PZ6 \
  | 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: b0def17f9204ab80fd4cfe19a2a38fcf916eae6940fb3ede6800c110b9d62d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36b33e11d945dba6568a446be2953dceda35b79cda373e56389e0c0b3e0ccd3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-25T04:01:31Z",
    "title_canon_sha256": "888d377b4468d49dec09a8e4ab2957653a73265686b9fd8f0da44e1647786f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18967",
    "kind": "arxiv",
    "version": 3
  }
}