Pith Number

pith:Q36YDWOW

pith:2020:Q36YDWOWSHYLWR7AX54PDBSB2K

not attested not anchored not stored refs pending

Sums of four rational squares with certain restrictions

Zhi-Wei Sun

arxiv:2010.05775 v7 · 2020-10-12 · 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{Q36YDWOWSHYLWR7AX54PDBSB2K}

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	2026-07-05T03:51:04.844602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86fd81d9d691f0bb47e0bf78f18641d28edf790ee16a1e4954f74ae5a3ea7638

Aliases

arxiv: 2010.05775 · arxiv_version: 2010.05775v7 · doi: 10.48550/arxiv.2010.05775 · pith_short_12: Q36YDWOWSHYL · pith_short_16: Q36YDWOWSHYLWR7A · pith_short_8: Q36YDWOW

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/Q36YDWOWSHYLWR7AX54PDBSB2K \
  | 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: 86fd81d9d691f0bb47e0bf78f18641d28edf790ee16a1e4954f74ae5a3ea7638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "050c763f7a9c259234ddac2973077eeaaf4543d095339b1e3f8b2d5278bf7563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-10-12T16:57:14Z",
    "title_canon_sha256": "63460d30ae2366015e92ee328390dbfa23ee1ce8a9a9682ca2741c2a0fdd50b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.05775",
    "kind": "arxiv",
    "version": 7
  }
}