Pith Number

pith:7PDSY2TH

pith:2023:7PDSY2TH56DTVKQVVARBEJAWGV

not attested not anchored not stored refs pending

Explicit zero density estimate near unity

Chiara Bellotti

arxiv:2311.05136 v1 · 2023-11-09 · 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{7PDSY2TH56DTVKQVVARBEJAWGV}

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

On the connection between zero-free regions and the error term in the Prime Number Theorem

Receipt and verification

First computed	2026-07-05T07:10:54.996118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc72c6a67ef873aaa15a8221224163570c9ab2215ff1d21067e31221f32de47

Aliases

arxiv: 2311.05136 · arxiv_version: 2311.05136v1 · doi: 10.48550/arxiv.2311.05136 · pith_short_12: 7PDSY2TH56DT · pith_short_16: 7PDSY2TH56DTVKQV · pith_short_8: 7PDSY2TH

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/7PDSY2TH56DTVKQVVARBEJAWGV \
  | 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: fbc72c6a67ef873aaa15a8221224163570c9ab2215ff1d21067e31221f32de47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56cc52885e0e3a7d81eed32f592afafb7fd16499174b56a9d126d7e4f423c194",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-09T04:33:46Z",
    "title_canon_sha256": "447b41af1d3fd3726ecf32c34857c198d64a4d97560429464f9a0c8b79374067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.05136",
    "kind": "arxiv",
    "version": 1
  }
}