Pith Number

pith:UVOFDKAJ

pith:2022:UVOFDKAJRNRNOU45JPI3AJHZ2T

not attested not anchored not stored refs pending

Sphere Packing Densities of Sublattices of the Mordell-Weil Lattices of two Families of Elliptic Curves

Arjun Nigam

arxiv:2206.06525 v2 · 2022-06-14 · 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{UVOFDKAJRNRNOU45JPI3AJHZ2T}

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	2026-07-05T05:02:42.907913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a55c51a8098b62d7539d4bd1b024f9d4f2980cae090b6de308f87b13c7b326c1

Aliases

arxiv: 2206.06525 · arxiv_version: 2206.06525v2 · doi: 10.48550/arxiv.2206.06525 · pith_short_12: UVOFDKAJRNRN · pith_short_16: UVOFDKAJRNRNOU45 · pith_short_8: UVOFDKAJ

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/UVOFDKAJRNRNOU45JPI3AJHZ2T \
  | 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: a55c51a8098b62d7539d4bd1b024f9d4f2980cae090b6de308f87b13c7b326c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd92164537ff3261a98ba0173607cbbe1769027c8f9c851dca8c715cd1903b1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-14T00:07:11Z",
    "title_canon_sha256": "b3affb70cf8325b8b7ea2a43840fb61ad6e83b646744abe7032a17249bd46800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.06525",
    "kind": "arxiv",
    "version": 2
  }
}