Pith Number

pith:4QWUWPAN

pith:2015:4QWUWPANDPQGSF2FHDGTAYGZK7

not attested not anchored not stored refs pending

On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil L-functions

Christian Wuthrich, Daniel Macias Castillo, David Burns

arxiv:1505.04635 v1 · 2015-05-18 · 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{4QWUWPANDPQGSF2FHDGTAYGZK7}

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	2026-05-18T02:07:24.950609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42d4b3c0d1be069174538cd3060d957f8e3db9cf2bea9db0d06c4cf07e55142

Aliases

arxiv: 1505.04635 · arxiv_version: 1505.04635v1 · doi: 10.48550/arxiv.1505.04635 · pith_short_12: 4QWUWPANDPQG · pith_short_16: 4QWUWPANDPQGSF2F · pith_short_8: 4QWUWPAN

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/4QWUWPANDPQGSF2FHDGTAYGZK7 \
  | 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: e42d4b3c0d1be069174538cd3060d957f8e3db9cf2bea9db0d06c4cf07e55142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d188b1f5c851616140d376ee80926200bb56308a07090e7cb9a7472d34e967ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-18T13:43:08Z",
    "title_canon_sha256": "561c5a254a63febc466713ff551e59fd78105fc354be546e0c1cdcd17668b06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04635",
    "kind": "arxiv",
    "version": 1
  }
}