Pith Number

pith:JJHBNMHR

pith:2018:JJHBNMHRNDW6FV5FTECVYINTP4

not attested not anchored not stored refs pending

Large Shafarevich-Tate groups over quadratic number fields

Myungjun Yu

arxiv:1801.10536 v1 · 2018-01-31 · 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{JJHBNMHRNDW6FV5FTECVYINTP4}

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	2026-05-18T00:24:40.576292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4e16b0f168ede2d7a599055c21b37f3d597520aa904f7e5bb4f7b29e71188e

Aliases

arxiv: 1801.10536 · arxiv_version: 1801.10536v1 · doi: 10.48550/arxiv.1801.10536 · pith_short_12: JJHBNMHRNDW6 · pith_short_16: JJHBNMHRNDW6FV5F · pith_short_8: JJHBNMHR

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/JJHBNMHRNDW6FV5FTECVYINTP4 \
  | 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: 4a4e16b0f168ede2d7a599055c21b37f3d597520aa904f7e5bb4f7b29e71188e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a856b5c252c6bb790939b9648f7420b12422f55f8b4b3c652dc05aaa9f830a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-31T16:42:59Z",
    "title_canon_sha256": "0b54cf36d980fecbdec1d938ffa7917ec2c4f475fbba8ad2d1a46dd17250755c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10536",
    "kind": "arxiv",
    "version": 1
  }
}