Pith Number

pith:F7LRW4VX

pith:2013:F7LRW4VX6TSMDTXOOHCJ6WRQB6

not attested not anchored not stored refs pending

Most hyperelliptic curves over Q have no rational points

Manjul Bhargava

arxiv:1308.0395 v1 · 2013-08-02 · 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{F7LRW4VX6TSMDTXOOHCJ6WRQB6}

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.

Cited by

1 paper in Pith

Geometry-of-numbers methods over global fields II: Coregular representations

Receipt and verification

First computed	2026-05-18T03:16:50.577920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd71b72b7f4e4c1ceee71c49f5a300fb955123390e0ecc2457311ea619a7c3f

Aliases

arxiv: 1308.0395 · arxiv_version: 1308.0395v1 · doi: 10.48550/arxiv.1308.0395 · pith_short_12: F7LRW4VX6TSM · pith_short_16: F7LRW4VX6TSMDTXO · pith_short_8: F7LRW4VX

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/F7LRW4VX6TSMDTXOOHCJ6WRQB6 \
  | 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: 2fd71b72b7f4e4c1ceee71c49f5a300fb955123390e0ecc2457311ea619a7c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412a34f67c5f48cd74421a5ff06afcb724ec539915af1425db54fb1f28884291",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-02T02:37:17Z",
    "title_canon_sha256": "8c519af0c4b0c061cd06486817e4cc78b6235c0efb899e8e6adb456088e40fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0395",
    "kind": "arxiv",
    "version": 1
  }
}