Pith Number

pith:MYG2YY2W

pith:2012:MYG2YY2WCV3IO47UV52OZLJ6US

not attested not anchored not stored refs pending

Determining $x$ or $y$ mod $p^2$ with $p=x^2+dy^2$

Zhi-Wei Sun

arxiv:1210.5237 v4 · 2012-10-18 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYG2YY2WCV3IO47UV52OZLJ6US}

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	2026-05-18T01:55:58.450417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

660dac635615768773f4af74ecad3ea4a491bccc1e15a1b17f693fff75c9c58c

Aliases

arxiv: 1210.5237 · arxiv_version: 1210.5237v4 · doi: 10.48550/arxiv.1210.5237 · pith_short_12: MYG2YY2WCV3I · pith_short_16: MYG2YY2WCV3IO47U · pith_short_8: MYG2YY2W

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/MYG2YY2WCV3IO47UV52OZLJ6US \
  | 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: 660dac635615768773f4af74ecad3ea4a491bccc1e15a1b17f693fff75c9c58c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd0531335276af49270400afae90d732bf1b9b65c81b50e0c599edebb96e88c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-18T19:58:29Z",
    "title_canon_sha256": "0cfd3195a7e3a2ddb1f69ce2df12d0f463163e144e97856e9044f0da87e75a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5237",
    "kind": "arxiv",
    "version": 4
  }
}