Pith Number

pith:GY5EO7PD

pith:2003:GY5EO7PDNFGB47K75MD4GPQF26

not attested not anchored not stored refs pending

On the second moment of $S(T)$ in the theory of the Riemann zeta function

Tsz Ho Chan

arxiv:math/0305339 v1 · 2003-05-23 · 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{GY5EO7PDNFGB47K75MD4GPQF26}

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	2026-05-18T01:05:28.863050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363a477de3694c1e7d5feb07c33e05d7bef13814e9e527aff569e441dea0dcc7

Aliases

arxiv: math/0305339 · arxiv_version: math/0305339v1 · doi: 10.48550/arxiv.math/0305339 · pith_short_12: GY5EO7PDNFGB · pith_short_16: GY5EO7PDNFGB47K7 · pith_short_8: GY5EO7PD

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/GY5EO7PDNFGB47K75MD4GPQF26 \
  | 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: 363a477de3694c1e7d5feb07c33e05d7bef13814e9e527aff569e441dea0dcc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c6bc8505ee6acf54fac491ca541e7be9912089aad0aecb929285a8dd0bf615",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-05-23T21:21:00Z",
    "title_canon_sha256": "1f0cd599930c6632c99e8be870ca0ed062f1d18c20d06a1c4ed09ad5546a5201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305339",
    "kind": "arxiv",
    "version": 1
  }
}