Pith Number

pith:NJP6KT7D

pith:2024:NJP6KT7D4CV5LPTQKHRPVKPIBF

not attested not anchored not stored refs pending

New results similar to Lagrange's four-square theorem

Zhi-Wei Sun

arxiv:2411.14308 v3 · 2024-11-21 · 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{NJP6KT7D4CV5LPTQKHRPVKPIBF}

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	2026-07-05T09:44:54.925519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a5fe54fe3e0abd5be7051e2faa9e8094d578cb4477b09e83124d09a52960e65

Aliases

arxiv: 2411.14308 · arxiv_version: 2411.14308v3 · doi: 10.48550/arxiv.2411.14308 · pith_short_12: NJP6KT7D4CV5 · pith_short_16: NJP6KT7D4CV5LPTQ · pith_short_8: NJP6KT7D

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/NJP6KT7D4CV5LPTQKHRPVKPIBF \
  | 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: 6a5fe54fe3e0abd5be7051e2faa9e8094d578cb4477b09e83124d09a52960e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fd65bdd06541e4ed1d2bb4fc10313228ffbf14abdac77435deb19f067a7d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-21T17:00:03Z",
    "title_canon_sha256": "55cd16813ba929b93b9e78aaae491c48d6ec014696ac74b35a9a5e0aed1d627c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14308",
    "kind": "arxiv",
    "version": 3
  }
}