Pith Number

pith:ZTLATOIY

pith:2021:ZTLATOIYXKNZGWSCYDZUHAYZ45

not attested not anchored not stored refs pending

On partitions of integers with restrictions involving squares

Chao Huang, Zhi-Wei Sun

arxiv:2105.03416 v2 · 2021-05-04 · 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{ZTLATOIYXKNZGWSCYDZUHAYZ45}

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	2026-07-05T02:43:34.376655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd609b918ba9b935a42c0f3438319e761e0d12af8e12d1d35a3010f94abe66d

Aliases

arxiv: 2105.03416 · arxiv_version: 2105.03416v2 · doi: 10.48550/arxiv.2105.03416 · pith_short_12: ZTLATOIYXKNZ · pith_short_16: ZTLATOIYXKNZGWSC · pith_short_8: ZTLATOIY

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/ZTLATOIYXKNZGWSCYDZUHAYZ45 \
  | 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: ccd609b918ba9b935a42c0f3438319e761e0d12af8e12d1d35a3010f94abe66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae22fbfcb2fb90828ae406e0cfb5ee23c73a7117a09d3a269b45a897af01009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-04T16:09:12Z",
    "title_canon_sha256": "1d611c36a4c6e298d2fa955ec1a4623f1303695802a13b1b0163f3f70cdc4c57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03416",
    "kind": "arxiv",
    "version": 2
  }
}