Pith Number

pith:M5FOLC2L

pith:2017:M5FOLC2L7CXQR2RIMJMFVEV34U

not attested not anchored not stored refs pending

New estimates for the $n$th prime number

Christian Axler

arxiv:1706.03651 v2 · 2017-06-12 · 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{M5FOLC2L7CXQR2RIMJMFVEV34U}

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	2026-05-18T00:04:08.351760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674ae58b4bf8af08ea2862585a92bbe5267b0691f187a3b24b2a951cf65895c5

Aliases

arxiv: 1706.03651 · arxiv_version: 1706.03651v2 · doi: 10.48550/arxiv.1706.03651 · pith_short_12: M5FOLC2L7CXQ · pith_short_16: M5FOLC2L7CXQR2RI · pith_short_8: M5FOLC2L

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/M5FOLC2L7CXQR2RIMJMFVEV34U \
  | 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: 674ae58b4bf8af08ea2862585a92bbe5267b0691f187a3b24b2a951cf65895c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c410651ef66c6d192a13115ac007fcd7bbd37f2e8a79bd04a9131f0f9d94a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-12T14:10:45Z",
    "title_canon_sha256": "dbb4541fc443b43c5457ce1492ce80f2042c4f31dfa4281b7e71bb5fc1faffd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03651",
    "kind": "arxiv",
    "version": 2
  }
}