Pith Number

pith:53IYDOY3

pith:2023:53IYDOY3XNWY6AJ7JV3XMOBOTI

not attested not anchored not stored refs pending

Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier

Jared Duker Lichtman

arxiv:2309.08522 v1 · 2023-08-30 · 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{53IYDOY3XNWY6AJ7JV3XMOBOTI}

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

4 papers in Pith

Prime Number Identification Demonstrated with Quantum Processors Using a New Rescaling-Based Noise Mitigation Technique

An update on the Linnik--Goldbach problem

An effective Bombieri-Vinogradov error term for sifting problems

Primes in arithmetic progressions to large moduli and refinements of Harman's sieve

Receipt and verification

First computed	2026-07-05T06:51:07.453356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed181bb1bbb6d8f013f4d7776382e9a0896daf5c40b9c992f8b4689c66b6425

Aliases

arxiv: 2309.08522 · arxiv_version: 2309.08522v1 · doi: 10.48550/arxiv.2309.08522 · pith_short_12: 53IYDOY3XNWY · pith_short_16: 53IYDOY3XNWY6AJ7 · pith_short_8: 53IYDOY3

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/53IYDOY3XNWY6AJ7JV3XMOBOTI \
  | 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: eed181bb1bbb6d8f013f4d7776382e9a0896daf5c40b9c992f8b4689c66b6425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348a9d9e4366f86f2daefbc47b791589d58302cbdac1f9d74e7974af23818e29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-08-30T20:08:42Z",
    "title_canon_sha256": "d35e0b0ee3cdc0e768555fbcdbd59aec8e90888967aa85f2043a5ed0268293d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.08522",
    "kind": "arxiv",
    "version": 1
  }
}