Pith Number

pith:JZQOT52L

pith:2016:JZQOT52L6BYOEFED5PU6U2W7U5

not attested not anchored not stored refs pending

Some variants of Lagrange's four squares theorem

Yu-Chen Sun, Zhi-Wei Sun

arxiv:1605.03074 v9 · 2016-05-10 · 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{JZQOT52L6BYOEFED5PU6U2W7U5}

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	2026-05-18T00:11:24.069848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e60e9f74bf070e21483ebe9ea6adfa757c4994660ba45cbe585376bb76c4d24

Aliases

arxiv: 1605.03074 · arxiv_version: 1605.03074v9 · doi: 10.48550/arxiv.1605.03074 · pith_short_12: JZQOT52L6BYO · pith_short_16: JZQOT52L6BYOEFED · pith_short_8: JZQOT52L

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/JZQOT52L6BYOEFED5PU6U2W7U5 \
  | 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: 4e60e9f74bf070e21483ebe9ea6adfa757c4994660ba45cbe585376bb76c4d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407e800a95f455549bc28d343f7b51e0d0a556ae5cd7776bd0ecf41ca3a9fbd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-10T15:58:24Z",
    "title_canon_sha256": "c09e3cab17ea78a351672e7507f0c318a623fa6a8d7adb13e9c912f7adf631bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03074",
    "kind": "arxiv",
    "version": 9
  }
}