Pith Number

pith:RNWYCW6Q

pith:2017:RNWYCW6QQM3KSZ3I65DWBCG7S7

not attested not anchored not stored refs pending

Upper bounds for $L^q$ norms of Dirichlet polynomials with small $q$

Winston Heap

arxiv:1703.08842 v1 · 2017-03-26 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNWYCW6QQM3KSZ3I65DWBCG7S7}

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	2026-05-18T00:47:55.377119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b6d815bd08336a96768f7476088df97f3fa5b84666b751516cd4ae48d597813

Aliases

arxiv: 1703.08842 · arxiv_version: 1703.08842v1 · doi: 10.48550/arxiv.1703.08842 · pith_short_12: RNWYCW6QQM3K · pith_short_16: RNWYCW6QQM3KSZ3I · pith_short_8: RNWYCW6Q

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/RNWYCW6QQM3KSZ3I65DWBCG7S7 \
  | 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: 8b6d815bd08336a96768f7476088df97f3fa5b84666b751516cd4ae48d597813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e140770c589f20e7696f8d89b2ec893ef82bb912871c45d66eac664622db6710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-26T16:37:24Z",
    "title_canon_sha256": "4ee2051854f04f4b43bae57535ef782ddab92cd8bafda01960c45e2407f8bb5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08842",
    "kind": "arxiv",
    "version": 1
  }
}