Pith Number

pith:KPKV6PDL

pith:2013:KPKV6PDLPMRPBRJZW7KLJZB64V

not attested not anchored not stored refs pending

Sharp conditional bounds for moments of the Riemann zeta function

Adam J. Harper

arxiv:1305.4618 v1 · 2013-05-20 · 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{KPKV6PDLPMRPBRJZW7KLJZB64V}

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

3 papers in Pith

Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function

Simultaneous non-vanishing of Dirichlet L-functions

Joint extreme values of $L$-functions on and off the critical line

Receipt and verification

First computed	2026-05-18T03:25:16.562122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d55f3c6b7b22f0c539b7d4b4e43ee54d07373a11cc4e41c455b28a2da83dfa

Aliases

arxiv: 1305.4618 · arxiv_version: 1305.4618v1 · doi: 10.48550/arxiv.1305.4618 · pith_short_12: KPKV6PDLPMRP · pith_short_16: KPKV6PDLPMRPBRJZ · pith_short_8: KPKV6PDL

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/KPKV6PDLPMRPBRJZW7KLJZB64V \
  | 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: 53d55f3c6b7b22f0c539b7d4b4e43ee54d07373a11cc4e41c455b28a2da83dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a0729e25a01c7f421beb4f9f539cf8a988911f1233550b46770e50aa8669c5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-20T19:41:52Z",
    "title_canon_sha256": "a5d079637b30b33039e6b3a344692ee01d6d2ec9d6d7b6400dd6ce6b248b4a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4618",
    "kind": "arxiv",
    "version": 1
  }
}