Pith Number

pith:T337XWSO

pith:2015:T337XWSOWKPJY5XWAPZQIB2DPG

not attested not anchored not stored refs pending

An explicit van der Corput estimate for $\zeta(1/2+it)$

Ghaith A. Hiary

arxiv:1507.01261 v4 · 2015-07-05 · 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{T337XWSOWKPJY5XWAPZQIB2DPG}

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	2026-05-18T01:30:48.740894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef7fbda4eb29e9c76f603f304074379979b910c621bb71e4c5cf556b5f78c1d

Aliases

arxiv: 1507.01261 · arxiv_version: 1507.01261v4 · doi: 10.48550/arxiv.1507.01261 · pith_short_12: T337XWSOWKPJ · pith_short_16: T337XWSOWKPJY5XW · pith_short_8: T337XWSO

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/T337XWSOWKPJY5XWAPZQIB2DPG \
  | 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: 9ef7fbda4eb29e9c76f603f304074379979b910c621bb71e4c5cf556b5f78c1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "decf8235914818449e58a0cc0a81256fabc969a713aa0190287576ac1ce0e861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-05T19:23:07Z",
    "title_canon_sha256": "a72ee8c1ce53cf9a7eacf4f09ad10ad1b63413dc4c39c54382f35ab0027a2a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01261",
    "kind": "arxiv",
    "version": 4
  }
}