Pith Number

pith:EU3H7XCG

pith:2013:EU3H7XCGDDE45W42DOTYRONWMH

not attested not anchored not stored refs pending

A hybrid Euler-Hadamard product and moments of \zeta'(\rho)

H. M. Bui, Micah B. Milinovich, Steven M. Gonek

arxiv:1302.5032 v1 · 2013-02-20 · 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{EU3H7XCGDDE45W42DOTYRONWMH}

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	2026-05-18T03:33:00.395877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25367fdc4618c9cedb9a1ba788b9b661e4587abcace17fc718cc0f637148b320

Aliases

arxiv: 1302.5032 · arxiv_version: 1302.5032v1 · doi: 10.48550/arxiv.1302.5032 · pith_short_12: EU3H7XCGDDE4 · pith_short_16: EU3H7XCGDDE45W42 · pith_short_8: EU3H7XCG

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/EU3H7XCGDDE45W42DOTYRONWMH \
  | 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: 25367fdc4618c9cedb9a1ba788b9b661e4587abcace17fc718cc0f637148b320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916fcb374a19d777b7d46bb56ea75d603c201ba6eff9165f8afd4b6bf2b5fa2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-20T16:54:24Z",
    "title_canon_sha256": "117d4f89c69c86af19330e1001635f32337cc948bf1e73ba56fc8feb7d283af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5032",
    "kind": "arxiv",
    "version": 1
  }
}