Pith Number

pith:A7ZDEFIL

pith:2017:A7ZDEFIL7UMTEK553PSLSSMTU3

not attested not anchored not stored refs pending

Hardy-Littlewood and Ulyanov inequalities

Sergey Tikhonov, Yurii Kolomoitsev

arxiv:1711.08163 v1 · 2017-11-22 · 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{A7ZDEFIL7UMTEK553PSLSSMTU3}

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	2026-05-18T00:29:50.500347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f232150bfd19322bbddbe4b94993a6c2a3049a4f72002e7017afffd2c9f0c9

Aliases

arxiv: 1711.08163 · arxiv_version: 1711.08163v1 · doi: 10.48550/arxiv.1711.08163 · pith_short_12: A7ZDEFIL7UMT · pith_short_16: A7ZDEFIL7UMTEK55 · pith_short_8: A7ZDEFIL

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/A7ZDEFIL7UMTEK553PSLSSMTU3 \
  | 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: 07f232150bfd19322bbddbe4b94993a6c2a3049a4f72002e7017afffd2c9f0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3a9c988759d0d82df1a0db894bf3aad3edeebef77cef1f1ce660d6b345e29f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-22T07:51:12Z",
    "title_canon_sha256": "48c772815c66c92a849f5fe99652565173333a63ef6000c6642d50e36614c528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08163",
    "kind": "arxiv",
    "version": 1
  }
}