Pith Number

pith:JQOZGLUL

pith:2025:JQOZGLULZED7QBDPXXBEXPFIA4

not attested not anchored not stored refs pending

Lower bounds on concentration through Borel transforms and quantitative singularity of spectral measures near the arithmetic transition

Serguei Tcheremchantsev, Svetlana Jitomirskaya, Wencai Liu

arxiv:2501.12153 v1 · 2025-01-21 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQOZGLULZED7QBDPXXBEXPFIA4}

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	2026-07-05T10:03:32.107330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c1d932e8bc907f8046fbdc24bbca8071a78e896c7ec0562a15ac9fb8faeb3e4

Aliases

arxiv: 2501.12153 · arxiv_version: 2501.12153v1 · doi: 10.48550/arxiv.2501.12153 · pith_short_12: JQOZGLULZED7 · pith_short_16: JQOZGLULZED7QBDP · pith_short_8: JQOZGLUL

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/JQOZGLULZED7QBDPXXBEXPFIA4 \
  | 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: 4c1d932e8bc907f8046fbdc24bbca8071a78e896c7ec0562a15ac9fb8faeb3e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f6488f091fd48a206484330c720a5a23778c1e2e112ebd72b92f1b9e3e7a5c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-01-21T14:04:37Z",
    "title_canon_sha256": "adf261bec2dfe972dd1429d7c9e94f698e13722f6c546a6dba0184e237dfbe4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12153",
    "kind": "arxiv",
    "version": 1
  }
}