Pith Number

pith:KYYLFG44

pith:2016:KYYLFG443D34U5YTBYBBPUV7LH

not attested not anchored not stored refs pending

Rank parity for congruent supersingular elliptic curves

Jeffrey Hatley

arxiv:1605.08382 v4 · 2016-05-26 · 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{KYYLFG443D34U5YTBYBBPUV7LH}

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	2026-05-18T00:42:17.866356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5630b29b9cd8f7ca77130e0217d2bf59d3957a7e1385c26a5e54e001c0dead0a

Aliases

arxiv: 1605.08382 · arxiv_version: 1605.08382v4 · doi: 10.48550/arxiv.1605.08382 · pith_short_12: KYYLFG443D34 · pith_short_16: KYYLFG443D34U5YT · pith_short_8: KYYLFG44

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/KYYLFG443D34U5YTBYBBPUV7LH \
  | 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: 5630b29b9cd8f7ca77130e0217d2bf59d3957a7e1385c26a5e54e001c0dead0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971acb26dd4dd9fb5390560ea13ae8e75bd77b465ca4cc6780690dffa956b573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-26T17:53:44Z",
    "title_canon_sha256": "b141d4d911743a43435fc30bf648593ba9f969b817d57702c3a586a5a6055756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08382",
    "kind": "arxiv",
    "version": 4
  }
}