Pith Number

pith:7HZZ5B5T

pith:2014:7HZZ5B5TL3EVKJPCLL32UG5IE2

not attested not anchored not stored refs pending

Generalized Fourier coefficients of multiplicative functions

Lilian Matthiesen

arxiv:1405.1018 v5 · 2014-05-05 · 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{7HZZ5B5TL3EVKJPCLL32UG5IE2}

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	2026-05-18T00:03:10.196408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f39e87b35ec95525e25af7aa1ba826bf6d36bd7ff5b3f0a83f48ec7948ba59

Aliases

arxiv: 1405.1018 · arxiv_version: 1405.1018v5 · doi: 10.48550/arxiv.1405.1018 · pith_short_12: 7HZZ5B5TL3EV · pith_short_16: 7HZZ5B5TL3EVKJPC · pith_short_8: 7HZZ5B5T

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/7HZZ5B5TL3EVKJPCLL32UG5IE2 \
  | 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: f9f39e87b35ec95525e25af7aa1ba826bf6d36bd7ff5b3f0a83f48ec7948ba59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ebe65664e3c7ba6738b1f4d5bb37e5e4fdc07dbdadd31b91d2301a40b8a962a",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-05T19:57:12Z",
    "title_canon_sha256": "82598b9d92e8577a9062c02a3b6e4fc51fc48078bc35b3530a325a9479b2f405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1018",
    "kind": "arxiv",
    "version": 5
  }
}