Pith Number

pith:EKDLE2UA

pith:2019:EKDLE2UA5AXDVSH2C5VMOQQ5JZ

not attested not anchored not stored refs pending

Squares in $\mathbb{F}_{p^2}$ and permutations involving primitive roots

Hai-Liang Wu

arxiv:1908.07641 v2 · 2019-08-20 · 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{EKDLE2UA5AXDVSH2C5VMOQQ5JZ}

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	2026-07-05T00:38:03.690499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2286b26a80e82e3ac8fa176ac7421d4e626abfecabfa46a6d82b999965728beb

Aliases

arxiv: 1908.07641 · arxiv_version: 1908.07641v2 · doi: 10.48550/arxiv.1908.07641 · pith_short_12: EKDLE2UA5AXD · pith_short_16: EKDLE2UA5AXDVSH2 · pith_short_8: EKDLE2UA

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/EKDLE2UA5AXDVSH2C5VMOQQ5JZ \
  | 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: 2286b26a80e82e3ac8fa176ac7421d4e626abfecabfa46a6d82b999965728beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2800b896e2e97475806c4254461eaa28e5d48cbfaafa6689f05d59ea80ac05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-20T22:45:20Z",
    "title_canon_sha256": "d4cb22de84a9f9411bea78f55feb61268286467cab6cb6d0540e9b1ea90e7fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07641",
    "kind": "arxiv",
    "version": 2
  }
}