Pith Number

pith:SOQSJ4CU

pith:2013:SOQSJ4CUBYET22ITV6RM5Q5X52

not attested not anchored not stored refs pending

Mertens's theorem for splitting primes and more

Mohammad Bardestani, Tristan Freiberg

arxiv:1309.7482 v1 · 2013-09-28 · 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{SOQSJ4CUBYET22ITV6RM5Q5X52}

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	2026-05-18T03:11:58.567574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93a124f0540e093d6913afa2cec3b7ee9a8dd2240541667185397ddec0af8d28

Aliases

arxiv: 1309.7482 · arxiv_version: 1309.7482v1 · doi: 10.48550/arxiv.1309.7482 · pith_short_12: SOQSJ4CUBYET · pith_short_16: SOQSJ4CUBYET22IT · pith_short_8: SOQSJ4CU

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/SOQSJ4CUBYET22ITV6RM5Q5X52 \
  | 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: 93a124f0540e093d6913afa2cec3b7ee9a8dd2240541667185397ddec0af8d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffba32d0e0280d1a85262a7eb7627be96f836891502631d5d3098b33bfb11f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-28T17:46:26Z",
    "title_canon_sha256": "7e979f31f6f72364c1923b30b1ce67433b6be1b9708773523213b61955416986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7482",
    "kind": "arxiv",
    "version": 1
  }
}