Pith Number

pith:46GEKLU3

pith:2022:46GEKLU3XA2M7S6IHQ74OHZX4H

not attested not anchored not stored refs pending

Sharper bounds for the error term in the Prime Number Theorem

Andrew Fiori, Habiba Kadiri, Joshua Swidinsky

arxiv:2206.12557 v2 · 2022-06-25 · 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{46GEKLU3XA2M7S6IHQ74OHZX4H}

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

1 paper in Pith

An effective version of Chebotarev's density theorem

Receipt and verification

First computed	2026-07-05T06:11:00.615063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78c452e9bb834cfcbc83c3fc71f37e1da7e310194eb046f3037362578869c66

Aliases

arxiv: 2206.12557 · arxiv_version: 2206.12557v2 · doi: 10.48550/arxiv.2206.12557 · pith_short_12: 46GEKLU3XA2M · pith_short_16: 46GEKLU3XA2M7S6I · pith_short_8: 46GEKLU3

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/46GEKLU3XA2M7S6IHQ74OHZX4H \
  | 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: e78c452e9bb834cfcbc83c3fc71f37e1da7e310194eb046f3037362578869c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361b3fee906fcb8259ff4cc073b9b58cb15efcd7e1b74fb5ca94443bcdbbe894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-25T05:05:10Z",
    "title_canon_sha256": "f604cca5e7e6a90aadcd239cda5bd0b17df0bb2066047a448f5bbb78fc94b87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12557",
    "kind": "arxiv",
    "version": 2
  }
}