Pith Number

pith:IBQ5UVPU

pith:2016:IBQ5UVPUUNZ4SFKZ6LXADAQUDF

not attested not anchored not stored refs pending

On the equation $ \boldsymbol{n_1n_2=n_3n_4}$ restricted to factor closed sets

Michel Weber, Sanying Shi

arxiv:1607.06366 v3 · 2016-07-21 · 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{IBQ5UVPUUNZ4SFKZ6LXADAQUDF}

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	2026-05-18T00:04:32.769957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4061da55f4a373c91559f2ee018214194369c4fd78624c340fcfcde356cd313d

Aliases

arxiv: 1607.06366 · arxiv_version: 1607.06366v3 · doi: 10.48550/arxiv.1607.06366 · pith_short_12: IBQ5UVPUUNZ4 · pith_short_16: IBQ5UVPUUNZ4SFKZ · pith_short_8: IBQ5UVPU

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/IBQ5UVPUUNZ4SFKZ6LXADAQUDF \
  | 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: 4061da55f4a373c91559f2ee018214194369c4fd78624c340fcfcde356cd313d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bd3c8e79a44a11f2b82e6a700a3972377a34319be2537cc0bbea744c6835b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-21T15:37:27Z",
    "title_canon_sha256": "723f09c5873d9acd8981bf62349f234734f0f585eb5756ca2544971d749eb86c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06366",
    "kind": "arxiv",
    "version": 3
  }
}