Pith Number

pith:7LPPOM5J

pith:2018:7LPPOM5JHQMJ2MVIJFQEQDFUHU

not attested not anchored not stored refs pending

Cube sums of form $3p$ and $3p^2$

Hongbo Yin, Jie Shu, Xu Song

arxiv:1804.02924 v1 · 2018-04-09 · 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{7LPPOM5JHQMJ2MVIJFQEQDFUHU}

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	2026-05-18T00:18:48.517850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fadef733a93c189d32a84960480cb43d104a0c513722ae339a0cfa2145617bfc

Aliases

arxiv: 1804.02924 · arxiv_version: 1804.02924v1 · doi: 10.48550/arxiv.1804.02924 · pith_short_12: 7LPPOM5JHQMJ · pith_short_16: 7LPPOM5JHQMJ2MVI · pith_short_8: 7LPPOM5J

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/7LPPOM5JHQMJ2MVIJFQEQDFUHU \
  | 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: fadef733a93c189d32a84960480cb43d104a0c513722ae339a0cfa2145617bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8cb92d65a98c9ed7a0814e9cb39dff16112210d6280959d6c869935cb9fd0e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-09T11:39:20Z",
    "title_canon_sha256": "5f0bf72dcee68b895db7ba734cba66c8049ad9dfc98449f4e58e24d36eecb7ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02924",
    "kind": "arxiv",
    "version": 1
  }
}