Pith Number

pith:BBGHQBQK

pith:2018:BBGHQBQK4W4NF6SIOLALBL4HE4

not attested not anchored not stored refs pending

Some explicit formulas for partial sums of M\"obius functions

Sh\=ota Inoue

arxiv:1805.05015 v1 · 2018-05-14 · 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{BBGHQBQK4W4NF6SIOLALBL4HE4}

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	2026-05-18T00:16:04.062230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

084c78060ae5b8d2fa4872c0b0af872722b4fd1760401f969dd50d7216ee3275

Aliases

arxiv: 1805.05015 · arxiv_version: 1805.05015v1 · doi: 10.48550/arxiv.1805.05015 · pith_short_12: BBGHQBQK4W4N · pith_short_16: BBGHQBQK4W4NF6SI · pith_short_8: BBGHQBQK

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/BBGHQBQK4W4NF6SIOLALBL4HE4 \
  | 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: 084c78060ae5b8d2fa4872c0b0af872722b4fd1760401f969dd50d7216ee3275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d7bf929d26a95aa484b5fbc98526a0eebba9cca255d84474a757dd12f0fe6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-14T05:44:48Z",
    "title_canon_sha256": "47830a9541c3bd32e2a496085ffc869a5a8dcbf09908c029ce56a7f20fad3026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05015",
    "kind": "arxiv",
    "version": 1
  }
}