Pith Number

pith:2UCXPM7C

pith:2005:2UCXPM7CGYNZFVXEBHAJSWRC3I

not attested not anchored not stored refs pending

A note on S(T) and the zeros of the Riemann zeta-function

D. A. Goldston, S. M. Gonek

arxiv:math/0511092 v1 · 2005-11-03 · 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{2UCXPM7CGYNZFVXEBHAJSWRC3I}

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.

Cited by

1 paper in Pith

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis

Receipt and verification

First computed	2026-07-04T14:51:39.313857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50577b3e2361b92d6e409c0995a22da0d70174887893e62c12d3d9b49258520

Aliases

arxiv: math/0511092 · arxiv_version: math/0511092v1 · doi: 10.48550/arxiv.math/0511092 · pith_short_12: 2UCXPM7CGYNZ · pith_short_16: 2UCXPM7CGYNZFVXE · pith_short_8: 2UCXPM7C

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/2UCXPM7CGYNZFVXEBHAJSWRC3I \
  | 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: d50577b3e2361b92d6e409c0995a22da0d70174887893e62c12d3d9b49258520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2a417e12fd818857eac3da3bffdb082cef307839d6045befab5aa8c8cfbf3f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-11-03T17:04:05Z",
    "title_canon_sha256": "25c37d20ff3eac12c30a65c23a7d098e316e647ceff182b877bc14098a9338bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511092",
    "kind": "arxiv",
    "version": 1
  }
}