Pith Number

pith:Z3OVQLJE

pith:2017:Z3OVQLJE6DNJLB7JRP3HJDDYDQ

not attested not anchored not stored refs pending

Waring-Goldbach Problem: One Square, Four Cubes and Higher Powers

Jinjiang Li, Min Zhang

arxiv:1708.04484 v1 · 2017-08-15 · 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{Z3OVQLJE6DNJLB7JRP3HJDDYDQ}

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	2026-05-18T00:37:59.205915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cedd582d24f0da9587e98bf6748c781c1f06517aa17ab1e0c0f5e8158afc3a0d

Aliases

arxiv: 1708.04484 · arxiv_version: 1708.04484v1 · doi: 10.48550/arxiv.1708.04484 · pith_short_12: Z3OVQLJE6DNJ · pith_short_16: Z3OVQLJE6DNJLB7J · pith_short_8: Z3OVQLJE

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/Z3OVQLJE6DNJLB7JRP3HJDDYDQ \
  | 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: cedd582d24f0da9587e98bf6748c781c1f06517aa17ab1e0c0f5e8158afc3a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51250fc86b32d5bdec5b21b53c580409c966d6337659f2fc88c35534eb4c4aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-15T13:10:47Z",
    "title_canon_sha256": "82ffd4d5b217adcaeac498e40119d785e6f1536e46b1963d7b14d2f43d3999f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04484",
    "kind": "arxiv",
    "version": 1
  }
}