Pith Number

pith:JYSAJKHU

pith:2019:JYSAJKHU6XFPGXWDHXDKR7MZXY

not attested not anchored not stored refs pending

Some properties of the distribution of the numbers of points on elliptic curves over a finite prime field

James Mc Laughlin, Saiying He

arxiv:1901.00604 v1 · 2019-01-03 · 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{JYSAJKHU6XFPGXWDHXDKR7MZXY}

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	2026-05-17T23:57:01.950679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e2404a8f4f5caf35ec33dc6a8fd99be1de320e7169fef17c74ca2d3923053aa

Aliases

arxiv: 1901.00604 · arxiv_version: 1901.00604v1 · doi: 10.48550/arxiv.1901.00604 · pith_short_12: JYSAJKHU6XFP · pith_short_16: JYSAJKHU6XFPGXWD · pith_short_8: JYSAJKHU

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/JYSAJKHU6XFPGXWDHXDKR7MZXY \
  | 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: 4e2404a8f4f5caf35ec33dc6a8fd99be1de320e7169fef17c74ca2d3923053aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7544a517bdf2a291670ca8e0276e88ea7f29122f6f97e16038b54776082204",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-03T03:59:30Z",
    "title_canon_sha256": "e5cac76622672c375e3caf98318dea0b1e8f50f5d56a1261f3463f9352876005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00604",
    "kind": "arxiv",
    "version": 1
  }
}