Pith Number

pith:MA2XOV2F

pith:2017:MA2XOV2FUUQROLHORIP7YR5TL6

not attested not anchored not stored refs pending

On consecutive values of random completely multiplicative functions

Joseph Najnudel

arxiv:1702.01470 v2 · 2017-02-05 · math.PR · 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{MA2XOV2FUUQROLHORIP7YR5TL6}

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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.

Cited by

1 paper in Pith

The "pits effect" for entire functions of exponential type and the Wiener spectrum

Receipt and verification

First computed	2026-07-05T00:57:47.770995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6035775745a521172cee8a1ffc47b35faa7ffcdb9c8ede4d8645b872b6ff420b

Aliases

arxiv: 1702.01470 · arxiv_version: 1702.01470v2 · doi: 10.48550/arxiv.1702.01470 · pith_short_12: MA2XOV2FUUQR · pith_short_16: MA2XOV2FUUQROLHO · pith_short_8: MA2XOV2F

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/MA2XOV2FUUQROLHORIP7YR5TL6 \
  | 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: 6035775745a521172cee8a1ffc47b35faa7ffcdb9c8ede4d8645b872b6ff420b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080029409e6c1bfec6366346721fe9e413fc02e8d599f3c01600e659874bf205",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-05T23:38:02Z",
    "title_canon_sha256": "1d07750985a380c50a0022a80928d313328b2380b555c2cb5768c61a898503d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01470",
    "kind": "arxiv",
    "version": 2
  }
}