Pith Number

pith:LW2IWWZQ

pith:2016:LW2IWWZQOK6R3MXM7FEUNNMX6B

not attested not anchored not stored refs pending

Formalization of the prime number theorem and Dirichlet's theorem

Mario Carneiro

arxiv:1608.02029 v1 · 2016-08-05 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW2IWWZQOK6R3MXM7FEUNNMX6B}

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	2026-05-18T01:09:41.106250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db48b5b3072bd1db2ecf94946b597f05fe33ce8da7686a205ac5987e07b393a

Aliases

arxiv: 1608.02029 · arxiv_version: 1608.02029v1 · doi: 10.48550/arxiv.1608.02029 · pith_short_12: LW2IWWZQOK6R · pith_short_16: LW2IWWZQOK6R3MXM · pith_short_8: LW2IWWZQ

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/LW2IWWZQOK6R3MXM7FEUNNMX6B \
  | 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: 5db48b5b3072bd1db2ecf94946b597f05fe33ce8da7686a205ac5987e07b393a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef272564bb42f7594d66dd0fbad44f2690a5f614430de572443b858efc16f47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-08-05T21:59:04Z",
    "title_canon_sha256": "d7b7995bd12782d84a24c1a457cf358acc1e8a16f802a36a5ab946c59d7f0a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02029",
    "kind": "arxiv",
    "version": 1
  }
}