Pith Number

pith:4V34OLXR

pith:2024:4V34OLXR24DBW4G3NY5RF4BOFJ

not attested not anchored not stored refs pending

Goldbach Representations with several primes

Thi Thu Nguyen

arxiv:2409.13368 v1 · 2024-09-20 · 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{4V34OLXR24DBW4G3NY5RF4BOFJ}

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

The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function

Receipt and verification

First computed	2026-07-05T09:09:34.030898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e577c72ef1d7061b70db6e3b12f02e2a745e861e97bf865fa9c47dc85a920d46

Aliases

arxiv: 2409.13368 · arxiv_version: 2409.13368v1 · doi: 10.48550/arxiv.2409.13368 · pith_short_12: 4V34OLXR24DB · pith_short_16: 4V34OLXR24DBW4G3 · pith_short_8: 4V34OLXR

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/4V34OLXR24DBW4G3NY5RF4BOFJ \
  | 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: e577c72ef1d7061b70db6e3b12f02e2a745e861e97bf865fa9c47dc85a920d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78070fd67c22414dd3e2274bc640b95b7027dfc13e8ece996b4e4780dd2e8ce9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-20T10:04:36Z",
    "title_canon_sha256": "8a9f7e70dc44e5a9640118c8319d84c503e36f2c188cdb83cb2d880da2ee0b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.13368",
    "kind": "arxiv",
    "version": 1
  }
}