Pith Number

pith:MF4QCUEA

pith:2015:MF4QCUEAOK53WSCCS5RK6E4B6V

not attested not anchored not stored refs pending

On the Distribution of Rational Squares

Michael Weiss

arxiv:1510.07362 v1 · 2015-10-26 · 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{MF4QCUEAOK53WSCCS5RK6E4B6V}

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	2026-05-18T01:29:14.279674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617901508072bbbb48429762af1381f54594c293c64359962d7cdaf4cd5a6971

Aliases

arxiv: 1510.07362 · arxiv_version: 1510.07362v1 · doi: 10.48550/arxiv.1510.07362 · pith_short_12: MF4QCUEAOK53 · pith_short_16: MF4QCUEAOK53WSCC · pith_short_8: MF4QCUEA

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/MF4QCUEAOK53WSCCS5RK6E4B6V \
  | 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: 617901508072bbbb48429762af1381f54594c293c64359962d7cdaf4cd5a6971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3fdd16ea314f3159ca8eb7c866a99f63b8c2c559a8db1515de6c667d015b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-26T04:27:14Z",
    "title_canon_sha256": "203ebbd03f1103f2066bd233dac616ebeb4cb4b123dac10f7f240b7b005de999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07362",
    "kind": "arxiv",
    "version": 1
  }
}