Pith Number

pith:MR6SPX5M

pith:2012:MR6SPX5MMTNV7QHLAVYV6DDIPE

not attested not anchored not stored refs pending

On a sequence involving sums of primes

Zhi-Wei Sun

arxiv:1207.7059 v7 · 2012-07-30 · 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{MR6SPX5MMTNV7QHLAVYV6DDIPE}

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	2026-05-18T03:08:25.158787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647d27dfac64db5fc0eb05715f0c687912d1f00719989c2cfd31c9a7e1d8661f

Aliases

arxiv: 1207.7059 · arxiv_version: 1207.7059v7 · doi: 10.48550/arxiv.1207.7059 · pith_short_12: MR6SPX5MMTNV · pith_short_16: MR6SPX5MMTNV7QHL · pith_short_8: MR6SPX5M

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/MR6SPX5MMTNV7QHLAVYV6DDIPE \
  | 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: 647d27dfac64db5fc0eb05715f0c687912d1f00719989c2cfd31c9a7e1d8661f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b3885a8e0f9e4601f29b942168d8c00d1f8e5ad386d9409d488d296e03e3ce",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-30T19:52:51Z",
    "title_canon_sha256": "185a034bfb6a0b2d506b06c06afe91cb67d691847d47e1766feeb22ee084d60f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7059",
    "kind": "arxiv",
    "version": 7
  }
}