Pith Number

pith:LTWTXDBL

pith:2026:LTWTXDBL6OYAJXDV7UTDMT7S4R

not attested not anchored not stored refs pending

Theorem $(1+1.9)$ on the Goldbach Conjecture

Jiamin Li, Jianya Liu

arxiv:2606.05224 v1 · 2026-06-01 · 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{LTWTXDBL6OYAJXDV7UTDMT7S4R}

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	2026-06-05T00:13:49.282542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ced3b8c2bf3b004dc75fd26364ff2e4638a543c82076a0253bc87752a3e24c4

Aliases

arxiv: 2606.05224 · arxiv_version: 2606.05224v1 · doi: 10.48550/arxiv.2606.05224 · pith_short_12: LTWTXDBL6OYA · pith_short_16: LTWTXDBL6OYAJXDV · pith_short_8: LTWTXDBL

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/LTWTXDBL6OYAJXDV7UTDMT7S4R \
  | 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: 5ced3b8c2bf3b004dc75fd26364ff2e4638a543c82076a0253bc87752a3e24c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2725b59f6035228be9d5ee6a37813ba59c72249e504bc28ae86b6301e0d6de6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-01T15:03:44Z",
    "title_canon_sha256": "23a9b31d37fd8b6d5ca4c8e08e178876e0cdd5b3dfc6327c0d63ca81620ad9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05224",
    "kind": "arxiv",
    "version": 1
  }
}