Pith Number

pith:ZTUUCSKK

pith:2016:ZTUUCSKKYLJCOJ3TCXRYOCCOON

not attested not anchored not stored refs pending

On the distribution of positive and negative values of Hardy's $Z$-function

Aleksandar Ivi\'c, Steven M. Gonek

arxiv:1604.00517 v1 · 2016-04-02 · 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{ZTUUCSKKYLJCOJ3TCXRYOCCOON}

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	2026-05-18T01:17:49.372730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce941494ac2d227277315e387084e73750d9c6194554637ec16d040bf19854a

Aliases

arxiv: 1604.00517 · arxiv_version: 1604.00517v1 · doi: 10.48550/arxiv.1604.00517 · pith_short_12: ZTUUCSKKYLJC · pith_short_16: ZTUUCSKKYLJCOJ3T · pith_short_8: ZTUUCSKK

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/ZTUUCSKKYLJCOJ3TCXRYOCCOON \
  | 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: cce941494ac2d227277315e387084e73750d9c6194554637ec16d040bf19854a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70e54349a6e3f78c6b0460b0788c8877d0186c5806552f79c0a7e8cec0fe470",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-02T15:40:07Z",
    "title_canon_sha256": "5a16863fdafbc4017d36cf3cd9297f6790ac2adba1e92dec6b66d93cfe8d570d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00517",
    "kind": "arxiv",
    "version": 1
  }
}