Pith Number

pith:BRY6XYZA

pith:2013:BRY6XYZAEJ5RLNWMS3VP3SKOXV

not attested not anchored not stored refs pending

A New Proof of Vinogradov's Three Primes Theorem

Xuancheng Shao

arxiv:1303.2276 v1 · 2013-03-09 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRY6XYZAEJ5RLNWMS3VP3SKOXV}

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	2026-05-18T03:31:19.492501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c71ebe320227b15b6cc96eafdc94ebd49289e5c645a22cfda2ff79aae1c6b6a

Aliases

arxiv: 1303.2276 · arxiv_version: 1303.2276v1 · doi: 10.48550/arxiv.1303.2276 · pith_short_12: BRY6XYZAEJ5R · pith_short_16: BRY6XYZAEJ5RLNWM · pith_short_8: BRY6XYZA

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/BRY6XYZAEJ5RLNWMS3VP3SKOXV \
  | 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: 0c71ebe320227b15b6cc96eafdc94ebd49289e5c645a22cfda2ff79aae1c6b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06349a85410c7397fc20fff32348a074ce76f391a03ff273f07623d74eb0e39b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-09T23:23:24Z",
    "title_canon_sha256": "88eadce29a87196fd9b020262dac6914826a7a58a366dd3a96f4405aa6e5512a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2276",
    "kind": "arxiv",
    "version": 1
  }
}