Pith Number

pith:WCEPU325

pith:2017:WCEPU325P2PLNPK32JMTMKZ3RD

not attested not anchored not stored refs pending

The distribution of consecutive prime biases and sums of sawtooth random variables

Kannan Soundararajan, Robert J. Lemke Oliver

arxiv:1709.06168 v1 · 2017-09-18 · 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{WCEPU325P2PLNPK32JMTMKZ3RD}

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	2026-05-18T00:34:54.161278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b088fa6f5d7e9eb6bd5bd259362b3b88f95e65b6f5d20b87b43cbbdbb2aac42d

Aliases

arxiv: 1709.06168 · arxiv_version: 1709.06168v1 · doi: 10.48550/arxiv.1709.06168 · pith_short_12: WCEPU325P2PL · pith_short_16: WCEPU325P2PLNPK3 · pith_short_8: WCEPU325

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/WCEPU325P2PLNPK32JMTMKZ3RD \
  | 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: b088fa6f5d7e9eb6bd5bd259362b3b88f95e65b6f5d20b87b43cbbdbb2aac42d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6a3767cc74329a18e09785dde64f905e0f22f43a2ce6611e2185a0fb05539d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-18T20:53:13Z",
    "title_canon_sha256": "8ccca2f2f777a888f1d9ea9654e66e37e7ca801868d6fa3be94e87808a7afdd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06168",
    "kind": "arxiv",
    "version": 1
  }
}