Pith Number

pith:RHKDUKBN

pith:2018:RHKDUKBNU3KRETXQDEIM6XQYSC

not attested not anchored not stored refs pending

On Conjectural Rank Parities of Quartic and Sextic Twists of Elliptic Curves

Matthew Weidner

arxiv:1809.04244 v2 · 2018-09-12 · 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{RHKDUKBNU3KRETXQDEIM6XQYSC}

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	2026-07-05T01:10:54.228247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d43a282da6d5124ef01910cf5e1890aba7cc9ca6ff9e920775420eaea8703a

Aliases

arxiv: 1809.04244 · arxiv_version: 1809.04244v2 · doi: 10.48550/arxiv.1809.04244 · pith_short_12: RHKDUKBNU3KR · pith_short_16: RHKDUKBNU3KRETXQ · pith_short_8: RHKDUKBN

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/RHKDUKBNU3KRETXQDEIM6XQYSC \
  | 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: 89d43a282da6d5124ef01910cf5e1890aba7cc9ca6ff9e920775420eaea8703a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88103435c36a26878bd444c626e5204c5a6e4fd2bb7b0f5ee6c6b592d3b26467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-12T03:20:28Z",
    "title_canon_sha256": "685eac87c75392ff3e2816ab555bd52778fb9bee35a638175acd5a8bcb14f68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04244",
    "kind": "arxiv",
    "version": 2
  }
}