Pith Number

pith:4D5ICZUF

pith:2018:4D5ICZUFUWKAIBSIZXCPLKR6NF

not attested not anchored not stored refs pending

Yet another proof of the quadratic reciprocity law

Alfred Czoga{\l}a, Przemys{\l}aw Koprowski

arxiv:1804.00199 v1 · 2018-03-31 · math.HO · 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{4D5ICZUFUWKAIBSIZXCPLKR6NF}

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	2026-05-18T00:19:38.064974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fa816685a594040648cdc4f5aa3e69584707f7f9fa5e7b4298fabbbd1ed235

Aliases

arxiv: 1804.00199 · arxiv_version: 1804.00199v1 · doi: 10.48550/arxiv.1804.00199 · pith_short_12: 4D5ICZUFUWKA · pith_short_16: 4D5ICZUFUWKAIBSI · pith_short_8: 4D5ICZUF

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/4D5ICZUFUWKAIBSIZXCPLKR6NF \
  | 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: e0fa816685a594040648cdc4f5aa3e69584707f7f9fa5e7b4298fabbbd1ed235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f592d629ec7d9876329662267beeb9e1805efa99cb86b829aef954a0ab74d7a1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-03-31T17:56:32Z",
    "title_canon_sha256": "63b2589e9cd63a8e2b38940331d805c8239c60e72efac1885a9d8abba71e5220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00199",
    "kind": "arxiv",
    "version": 1
  }
}