Pith Number

pith:LOIAW7DH

pith:2023:LOIAW7DHONKYF3LIBVJSQ7EWLT

not attested not anchored not stored refs pending

Two Kinds Hybrid Power Mean Involving Two-Term Exponential Sums and Dedekind Sums

Jinmin Yu, Tingting Wang, Xue Han

arxiv:2307.06313 v1 · 2023-06-30 · 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{LOIAW7DHONKYF3LIBVJSQ7EWLT}

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	2026-07-05T06:30:21.909782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b900b7c67735582ed680d53287c965ccac29358839e13e728cccd53d9e200e8

Aliases

arxiv: 2307.06313 · arxiv_version: 2307.06313v1 · doi: 10.48550/arxiv.2307.06313 · pith_short_12: LOIAW7DHONKY · pith_short_16: LOIAW7DHONKYF3LI · pith_short_8: LOIAW7DH

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/LOIAW7DHONKYF3LIBVJSQ7EWLT \
  | 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: 5b900b7c67735582ed680d53287c965ccac29358839e13e728cccd53d9e200e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e1a55168792163f7e062cbb1a7fa48a3ef78003aa62bc7df09312c82eca56d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-30T10:53:23Z",
    "title_canon_sha256": "2d9e74f98cd0b4335ce4c841a41ebd9f902cca316f981f8d0836d18db357d52a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.06313",
    "kind": "arxiv",
    "version": 1
  }
}