Pith Number

pith:CJ75PFDU

pith:2018:CJ75PFDUSW6AYPLTBUR6TA2GGO

not attested not anchored not stored refs pending

Bounds on the Mordell--Weil rank of elliptic curves over imaginary quadratic number fields with class number 1

Erik Wallace

arxiv:1811.07862 v2 · 2018-11-19 · 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{CJ75PFDUSW6AYPLTBUR6TA2GGO}

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	2026-05-17T23:41:58.095046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127fd7947495bc0c3d730d23e9834633b840a463ec031ceb957bf72effc97062

Aliases

arxiv: 1811.07862 · arxiv_version: 1811.07862v2 · doi: 10.48550/arxiv.1811.07862 · pith_short_12: CJ75PFDUSW6A · pith_short_16: CJ75PFDUSW6AYPLT · pith_short_8: CJ75PFDU

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/CJ75PFDUSW6AYPLTBUR6TA2GGO \
  | 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: 127fd7947495bc0c3d730d23e9834633b840a463ec031ceb957bf72effc97062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a0bccfcb67f3f958e0617175b235c78c75083297bbd2c7f9da7316ec4f5fd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-19T18:29:54Z",
    "title_canon_sha256": "391042e2baaaa1687d2b6364b3ab0407a939059e2da0f99c12a3b489bbace96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07862",
    "kind": "arxiv",
    "version": 2
  }
}