Pith Number

pith:FD6ZR56F

pith:2015:FD6ZR56FK4JOKLOQ7RUXYHJLJT

not attested not anchored not stored refs pending

On the Hardy--Littlewood majorant problem for arithmetic sets

Bartosz Trojan, Ben Krause, Mariusz Mirek

arxiv:1505.00409 v1 · 2015-05-03 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD6ZR56FK4JOKLOQ7RUXYHJLJT}

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	2026-05-18T02:17:03.148266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fd98f7c55712e52dd0fc697c1d2b4cc107fbc743c07c209c2bdd745aecc7f7

Aliases

arxiv: 1505.00409 · arxiv_version: 1505.00409v1 · doi: 10.48550/arxiv.1505.00409 · pith_short_12: FD6ZR56FK4JO · pith_short_16: FD6ZR56FK4JOKLOQ · pith_short_8: FD6ZR56F

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/FD6ZR56FK4JOKLOQ7RUXYHJLJT \
  | 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: 28fd98f7c55712e52dd0fc697c1d2b4cc107fbc743c07c209c2bdd745aecc7f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adabd595fcf326238f081535c32a2ed58cb1e23ce267f38cc20c4a068af93779",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-03T09:28:13Z",
    "title_canon_sha256": "8fc37bf6dd43f9b944a0874cc3c9d05757ffae38f53481e3336da9f255e87fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00409",
    "kind": "arxiv",
    "version": 1
  }
}