Pith Number

pith:7DYFS2VA

pith:2019:7DYFS2VAVKHXIJADGHVEEEYJZX

not attested not anchored not stored refs pending

Nikolskii inequality for lacunary spherical polynomials

Dmitry Gorbachev, Feng Dai, Sergey Tikhonov

arxiv:1905.00323 v1 · 2019-05-01 · 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{7DYFS2VAVKHXIJADGHVEEEYJZX}

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	2026-05-17T23:47:13.186862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f0596aa0aa8f74240331ea421309cdc4efd30e4fef3ca14e769b96e997ea2f

Aliases

arxiv: 1905.00323 · arxiv_version: 1905.00323v1 · doi: 10.48550/arxiv.1905.00323 · pith_short_12: 7DYFS2VAVKHX · pith_short_16: 7DYFS2VAVKHXIJAD · pith_short_8: 7DYFS2VA

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/7DYFS2VAVKHXIJADGHVEEEYJZX \
  | 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: f8f0596aa0aa8f74240331ea421309cdc4efd30e4fef3ca14e769b96e997ea2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa49c03bcb44711b03841b1d4e9f2bc01af39e1387b41dc4a7ce7d75d477a14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-01T14:19:25Z",
    "title_canon_sha256": "0de2102beab5bf98d3a1131d4ea822e988b2ead94cee9aa00933886e146e1958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00323",
    "kind": "arxiv",
    "version": 1
  }
}