Pith Number

pith:5ZQSES4E

pith:2024:5ZQSES4E4KYYEFVGF3S5LQL4X6

not attested not anchored not stored refs pending

Goldbach's Problem in short intervals for numbers with a missing digit

Jiseong Kim

arxiv:2412.19975 v1 · 2024-12-28 · 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{5ZQSES4E4KYYEFVGF3S5LQL4X6}

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.

Receipt and verification

First computed	2026-07-05T09:54:52.455817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee61224b84e2b18216a62ee5d5c17cbfa3c7181676f42943a326aea58e04a6d7

Aliases

arxiv: 2412.19975 · arxiv_version: 2412.19975v1 · doi: 10.48550/arxiv.2412.19975 · pith_short_12: 5ZQSES4E4KYY · pith_short_16: 5ZQSES4E4KYYEFVG · pith_short_8: 5ZQSES4E

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/5ZQSES4E4KYYEFVGF3S5LQL4X6 \
  | 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: ee61224b84e2b18216a62ee5d5c17cbfa3c7181676f42943a326aea58e04a6d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fb8a0477e3c170e33e0158b7e434c9591ab7001312ffee9e5bbc4219ae115a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-28T02:17:06Z",
    "title_canon_sha256": "2092db5ed77fadf901b8328a1265744faa93042e14ffc6a42d418560201857ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19975",
    "kind": "arxiv",
    "version": 1
  }
}