Pith Number

pith:BDAGSBRE

pith:2024:BDAGSBREN7CMXDGPN6PZK4Y4XK

not attested not anchored not stored refs pending

Dirichlet improvability in $L_p$-norms

Nikita Shulga, Nikolay Moshchevitin

arxiv:2408.06200 v3 · 2024-08-12 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDAGSBREN7CMXDGPN6PZK4Y4XK}

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.

Cited by

1 paper in Pith

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$

Receipt and verification

First computed	2026-06-23T03:13:43.632888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c06906246fc4cb8ccf6f9f95731cbabd5fcf72ac4f0848600b520f1497d08d

Aliases

arxiv: 2408.06200 · arxiv_version: 2408.06200v3 · doi: 10.48550/arxiv.2408.06200 · pith_short_12: BDAGSBREN7CM · pith_short_16: BDAGSBREN7CMXDGP · pith_short_8: BDAGSBRE

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/BDAGSBREN7CMXDGPN6PZK4Y4XK \
  | 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: 08c06906246fc4cb8ccf6f9f95731cbabd5fcf72ac4f0848600b520f1497d08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc7e70baeaa627955b597c64230e809aed2343d96bc7af5447ead4b3ae2a388",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-12T14:49:47Z",
    "title_canon_sha256": "ba94efbe804743e920a368b089bba4bfd410ae35c944a3f01b2faa0962ef3d0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06200",
    "kind": "arxiv",
    "version": 3
  }
}