Pith Number

pith:JWFAAZJU

pith:2016:JWFAAZJUBPEQI2KQWRW7R3YNZQ

not attested not anchored not stored refs pending

Statistics of the zeros of $L$-functions and arithmetic correlations

D.J. Smith

arxiv:1607.03297 v1 · 2016-07-12 · math.NT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWFAAZJUBPEQI2KQWRW7R3YNZQ}

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	2026-05-18T01:11:04.554958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8a0065340bc9046950b46df8ef0dcc040fbbcc400aea9e590465909465e36e

Aliases

arxiv: 1607.03297 · arxiv_version: 1607.03297v1 · doi: 10.48550/arxiv.1607.03297 · pith_short_12: JWFAAZJUBPEQ · pith_short_16: JWFAAZJUBPEQI2KQ · pith_short_8: JWFAAZJU

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/JWFAAZJUBPEQI2KQWRW7R3YNZQ \
  | 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: 4d8a0065340bc9046950b46df8ef0dcc040fbbcc400aea9e590465909465e36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3fc9bce011266d7e59133346785cab02227f7ce9e7c0ff0d772bd9054b07ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-12T10:18:43Z",
    "title_canon_sha256": "b7198c741a7453900d2136c836a4e6f35a6921e3387ab2104ef77f053736cba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03297",
    "kind": "arxiv",
    "version": 1
  }
}