Pith Number

pith:Q2E6TWGP

pith:2025:Q2E6TWGPSMVEFPCRSYL2FP2T76

not attested not anchored not stored refs pending

Diagonal cycles and anticyclotomic twists of modular forms at inert primes

Luca Marannino

arxiv:2507.22755 v2 · 2025-07-30 · 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{Q2E6TWGPSMVEFPCRSYL2FP2T76}

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	2026-07-05T12:02:04.495071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8689e9d8cf932a42bc519617a2bf53ffb453e31c58f7cf105c2ce242489cef4c

Aliases

arxiv: 2507.22755 · arxiv_version: 2507.22755v2 · doi: 10.48550/arxiv.2507.22755 · pith_short_12: Q2E6TWGPSMVE · pith_short_16: Q2E6TWGPSMVEFPCR · pith_short_8: Q2E6TWGP

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/Q2E6TWGPSMVEFPCRSYL2FP2T76 \
  | 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: 8689e9d8cf932a42bc519617a2bf53ffb453e31c58f7cf105c2ce242489cef4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea77be26664a2f4b69a9043e41b425437f615434040ebfa94535d9db9829e230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-30T15:15:05Z",
    "title_canon_sha256": "7ea09c9fde2ed1b482dc0627e6e1c7fcfea0773bcd6860eedf948fbe893d6604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22755",
    "kind": "arxiv",
    "version": 2
  }
}