Pith Number

pith:U4C7BTAD

pith:2026:U4C7BTADYIQQXTJL2AMUPO437I

not attested not anchored not stored refs pending

On the level of distribution of Goldbach primes and its applications

Mizuki Akeno

arxiv:2606.29559 v1 · 2026-06-28 · 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{U4C7BTADYIQQXTJL2AMUPO437I}

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	2026-06-30T01:18:11.900523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a705f0cc03c2210bcd2bd01947bb9bfa3d2c836e65aa638771171778d01a6ef7

Aliases

arxiv: 2606.29559 · arxiv_version: 2606.29559v1 · doi: 10.48550/arxiv.2606.29559 · pith_short_12: U4C7BTADYIQQ · pith_short_16: U4C7BTADYIQQXTJL · pith_short_8: U4C7BTAD

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/U4C7BTADYIQQXTJL2AMUPO437I \
  | 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: a705f0cc03c2210bcd2bd01947bb9bfa3d2c836e65aa638771171778d01a6ef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c456f4881e7f72748a623e5356ce9477f9424c6c45399e3820a9ce8c6a9958df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-28T18:53:43Z",
    "title_canon_sha256": "14ceceeb658cf89e8c835b9f1040d560277fb171fe9d8973f58c32a9322d4255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29559",
    "kind": "arxiv",
    "version": 1
  }
}