Pith Number

pith:R4WTPSSU

pith:2012:R4WTPSSUIJNIEPCDMHPHLRQTQ4

not attested not anchored not stored refs pending

Sums of two biquadrates and elliptic curves of rank $\geq 4$

F. A. Izadi, F. Khoshnam, K. Nabardi

arxiv:1202.5676 v5 · 2012-02-25 · 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{R4WTPSSUIJNIEPCDMHPHLRQTQ4}

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	2026-05-18T03:53:42.216022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2d37ca54425a823c4361de75c613871c419a8117fffd9b642fc77e1ee049f9

Aliases

arxiv: 1202.5676 · arxiv_version: 1202.5676v5 · doi: 10.48550/arxiv.1202.5676 · pith_short_12: R4WTPSSUIJNI · pith_short_16: R4WTPSSUIJNIEPCD · pith_short_8: R4WTPSSU

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/R4WTPSSUIJNIEPCDMHPHLRQTQ4 \
  | 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: 8f2d37ca54425a823c4361de75c613871c419a8117fffd9b642fc77e1ee049f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd73132ef3a42cc8f153c5d5515ba882d736894ddf3520ce7c9b2dde0c85698",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-25T17:41:45Z",
    "title_canon_sha256": "bbd75bfab808e1ec208b3d6b15778e152ad8858569d65fcfb9cfd92a6a5de6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5676",
    "kind": "arxiv",
    "version": 5
  }
}