Pith Number

pith:55NJQZMN

pith:2020:55NJQZMN6WDMPANGLICSD2RQLB

not attested not anchored not stored refs pending

The second moment of $S_n(t)$ on the Riemann hypothesis

Andr\'es Chirre, Emily Quesada-Herrera

arxiv:2006.08503 v2 · 2020-06-15 · 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{55NJQZMN6WDMPANGLICSD2RQLB}

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	2026-07-05T05:42:17.198626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef5a98658df586c781a65a0521ea30587348e28453fc3a336407c4c1d94d2bce

Aliases

arxiv: 2006.08503 · arxiv_version: 2006.08503v2 · doi: 10.48550/arxiv.2006.08503 · pith_short_12: 55NJQZMN6WDM · pith_short_16: 55NJQZMN6WDMPANG · pith_short_8: 55NJQZMN

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/55NJQZMN6WDMPANGLICSD2RQLB \
  | 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: ef5a98658df586c781a65a0521ea30587348e28453fc3a336407c4c1d94d2bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c4100f98a14d45b945adf3a699c3408b23ba18f205cd3dcc0795ca99bf92e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-15T16:01:46Z",
    "title_canon_sha256": "3a43bf7693f46f3cf955899340a9e20c19d1cb6badb21236e63825430abe46ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08503",
    "kind": "arxiv",
    "version": 2
  }
}