Pith Number

pith:AOLBYUQY

pith:2016:AOLBYUQY5V4RQ4IFFT67DZRJZY

not attested not anchored not stored refs pending

Hasse Principle Violations for Atkin-Lehner Twists of Shimura Curves

James Stankewicz, Pete L. Clark

arxiv:1612.01440 v1 · 2016-12-05 · 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{AOLBYUQY5V4RQ4IFFT67DZRJZY}

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	2026-05-18T00:55:52.653861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03961c5218ed791871052cfdf1e629ce133ecf3becc92500ff6ad56e7124398e

Aliases

arxiv: 1612.01440 · arxiv_version: 1612.01440v1 · doi: 10.48550/arxiv.1612.01440 · pith_short_12: AOLBYUQY5V4R · pith_short_16: AOLBYUQY5V4RQ4IF · pith_short_8: AOLBYUQY

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/AOLBYUQY5V4RQ4IFFT67DZRJZY \
  | 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: 03961c5218ed791871052cfdf1e629ce133ecf3becc92500ff6ad56e7124398e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0ff8084633b29e4a09eb3952121a1b3a6c716e88c2087543bdb8caa0fa5ede",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-05T17:21:31Z",
    "title_canon_sha256": "8e12ff55210715315a207bc9e85d533b6b3bb174136123ddbdc8e98c1b67afa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01440",
    "kind": "arxiv",
    "version": 1
  }
}