Pith Number

pith:YTZWFZPY

pith:2025:YTZWFZPYMDT2UYDAY5GVZRGJN4

not attested not anchored not stored refs pending

Prime Number Error Terms

Nathan Ng

arxiv:2505.11295 v1 · 2025-05-16 · 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{YTZWFZPYMDT2UYDAY5GVZRGJN4}

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

Negative discrete second moments of Dirichlet $L$-functions

A note on a conjecture of Ng

A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races

Receipt and verification

First computed	2026-07-05T11:04:13.986237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f362e5f860e7aa6060c74d5cc4c96f29d4f4a44b25963fc1c2685159679e1c

Aliases

arxiv: 2505.11295 · arxiv_version: 2505.11295v1 · doi: 10.48550/arxiv.2505.11295 · pith_short_12: YTZWFZPYMDT2 · pith_short_16: YTZWFZPYMDT2UYDA · pith_short_8: YTZWFZPY

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/YTZWFZPYMDT2UYDAY5GVZRGJN4 \
  | 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: c4f362e5f860e7aa6060c74d5cc4c96f29d4f4a44b25963fc1c2685159679e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46b36d0104290962aeb70cd44a25865b410735420be4ff25ef132ed6154a604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-16T14:26:19Z",
    "title_canon_sha256": "53831c89713bb3b5fa13b2c6e98aa0a2e94520804856f6269d734d64c877369f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11295",
    "kind": "arxiv",
    "version": 1
  }
}