Pith Number

pith:ZXCQZYJV

pith:2011:ZXCQZYJVTKJDQ5572EMWP4NUYJ

not attested not anchored not stored refs pending

Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L-functions

Abhishek Saha, Ralf Schmidt

arxiv:1109.6192 v3 · 2011-09-28 · 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{ZXCQZYJVTKJDQ5572EMWP4NUYJ}

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	2026-05-18T02:58:00.418081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc50ce1359a923877bfd11967f1b4c26fb8e3b3c779da018c35f13ad06bbb11

Aliases

arxiv: 1109.6192 · arxiv_version: 1109.6192v3 · doi: 10.48550/arxiv.1109.6192 · pith_short_12: ZXCQZYJVTKJD · pith_short_16: ZXCQZYJVTKJDQ557 · pith_short_8: ZXCQZYJV

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/ZXCQZYJVTKJDQ5572EMWP4NUYJ \
  | 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: cdc50ce1359a923877bfd11967f1b4c26fb8e3b3c779da018c35f13ad06bbb11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "832fdb01c918f48327e7bbd226425b59827dd8031436473e6779215597dd25da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-28T12:59:41Z",
    "title_canon_sha256": "928496e518ca37dcb0c9b78ee91c9c2067c94a504fb365bd47375c044d1c7ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6192",
    "kind": "arxiv",
    "version": 3
  }
}