Pith Number

pith:SZ4YI6FA

pith:2012:SZ4YI6FASRL5SW4AMG7HDOK6Y5

not attested not anchored not stored refs pending

The Minkowski ?(x) function and Salem's problem

Giedrius Alkauskas

arxiv:1201.6539 v1 · 2012-01-31 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZ4YI6FASRL5SW4AMG7HDOK6Y5}

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	2026-05-18T04:01:12.834574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96798478a09457d95b8061be71b95ec74951d595d2b778080e02398acb8e567a

Aliases

arxiv: 1201.6539 · arxiv_version: 1201.6539v1 · doi: 10.48550/arxiv.1201.6539 · pith_short_12: SZ4YI6FASRL5 · pith_short_16: SZ4YI6FASRL5SW4A · pith_short_8: SZ4YI6FA

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/SZ4YI6FASRL5SW4AMG7HDOK6Y5 \
  | 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: 96798478a09457d95b8061be71b95ec74951d595d2b778080e02398acb8e567a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3f499e7da831527fe2407f57038783238620a303acf77029a3362c9c5937d5",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-31T13:56:20Z",
    "title_canon_sha256": "d0ff2f431dbd5fe07346ee18bd58ec8d39c3472542ab441f8ac59a8278644874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6539",
    "kind": "arxiv",
    "version": 1
  }
}