Pith Number

pith:ZTX5Z4TX

pith:2011:ZTX5Z4TX6EYN5YY3GIE7LAHU6V

not attested not anchored not stored refs pending

On some Rajchman measures and equivalent Salem's problem

Semyon Yakubovich

arxiv:1112.6147 v1 · 2011-12-28 · 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{ZTX5Z4TX6EYN5YY3GIE7LAHU6V}

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	2026-05-18T04:05:36.669614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccefdcf277f130dee31b3209f580f4f541bbdf76d75f38fb49d4ce745e80e8ec

Aliases

arxiv: 1112.6147 · arxiv_version: 1112.6147v1 · doi: 10.48550/arxiv.1112.6147 · pith_short_12: ZTX5Z4TX6EYN · pith_short_16: ZTX5Z4TX6EYN5YY3 · pith_short_8: ZTX5Z4TX

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/ZTX5Z4TX6EYN5YY3GIE7LAHU6V \
  | 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: ccefdcf277f130dee31b3209f580f4f541bbdf76d75f38fb49d4ce745e80e8ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d58eb5e345a2232a71ffd5958af8c507356f0fe154a24c3120094497434dc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-28T16:54:47Z",
    "title_canon_sha256": "05a3078a5ead9a50c05ba99d7a5df321c6881214681d6640a05d8039147448a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6147",
    "kind": "arxiv",
    "version": 1
  }
}