Pith Number

pith:LQRFDOXE

pith:2016:LQRFDOXEVZ67CYHB72FNGL4FYO

not attested not anchored not stored refs pending

On the Sum of Divisors of Mixed Powers

Jinjiang Li, Min Zhang

arxiv:1609.07610 v1 · 2016-09-24 · 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{LQRFDOXEVZ67CYHB72FNGL4FYO}

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	2026-05-18T01:03:55.915683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2251bae4ae7df160e1fe8ad32f85c39e27e8ea8f847846716740ef3e5efbef

Aliases

arxiv: 1609.07610 · arxiv_version: 1609.07610v1 · doi: 10.48550/arxiv.1609.07610 · pith_short_12: LQRFDOXEVZ67 · pith_short_16: LQRFDOXEVZ67CYHB · pith_short_8: LQRFDOXE

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/LQRFDOXEVZ67CYHB72FNGL4FYO \
  | 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: 5c2251bae4ae7df160e1fe8ad32f85c39e27e8ea8f847846716740ef3e5efbef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f204306c9f2de510e4a6434083f44c94ca957d425d690c31240c0da56b71f1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-24T12:50:48Z",
    "title_canon_sha256": "eca877c8c26412ce87c2162779b7ee008a0e3f23fa02b38125fbc0bd5f3ebf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07610",
    "kind": "arxiv",
    "version": 1
  }
}