Pith Number

pith:3QSQALUV

pith:2018:3QSQALUV6EW42SAFVDJKSXR6ZA

not attested not anchored not stored refs pending

M\"obius orthogonality for $q$-semimultiplicative sequences

Jakub Konieczny

arxiv:1808.06196 v1 · 2018-08-19 · math.NT · math.CO · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QSQALUV6EW42SAFVDJKSXR6ZA}

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	2026-05-18T00:07:45.777981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc25002e95f12dcd4805a8d2a95e3ec81b3d33f27e2c2057f05634eee3e29b21

Aliases

arxiv: 1808.06196 · arxiv_version: 1808.06196v1 · doi: 10.48550/arxiv.1808.06196 · pith_short_12: 3QSQALUV6EW4 · pith_short_16: 3QSQALUV6EW42SAF · pith_short_8: 3QSQALUV

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/3QSQALUV6EW42SAFVDJKSXR6ZA \
  | 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: dc25002e95f12dcd4805a8d2a95e3ec81b3d33f27e2c2057f05634eee3e29b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ec69deb058625da267e0df52a3e9c8953041c1f6b90f84cfd21ed1676d35e8",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-19T11:24:26Z",
    "title_canon_sha256": "bb7456e7aec5456f64e422d99a31d03eb55cc9f3d8032dd914545272f8d2c6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06196",
    "kind": "arxiv",
    "version": 1
  }
}