Pith Number

pith:TMSPS2NG

pith:2011:TMSPS2NGRYG2EGTO2YEDQVWW3S

not attested not anchored not stored refs pending

On some Rajchman measures and a solution to Salem's problem revisited

Semyon Yakubovich

arxiv:1112.4605 v2 · 2011-12-20 · 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{TMSPS2NGRYG2EGTO2YEDQVWW3S}

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	2026-05-18T04:05:37.901032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b24f969a68e0da21a6ed6083856d6dcb4f1d680a44ea49e5739277fa86cf730

Aliases

arxiv: 1112.4605 · arxiv_version: 1112.4605v2 · doi: 10.48550/arxiv.1112.4605 · pith_short_12: TMSPS2NGRYG2 · pith_short_16: TMSPS2NGRYG2EGTO · pith_short_8: TMSPS2NG

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/TMSPS2NGRYG2EGTO2YEDQVWW3S \
  | 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: 9b24f969a68e0da21a6ed6083856d6dcb4f1d680a44ea49e5739277fa86cf730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5376a466000b60439e6927c5c37aa82ec4ffe860f33b1f61ca2ee065e12bb46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-20T08:50:46Z",
    "title_canon_sha256": "3fc51c732b5d96d6e0f5b0a863f85fadeaff4187e050be9bde04404cc326447a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4605",
    "kind": "arxiv",
    "version": 2
  }
}