Pith Number

pith:F34X77OL

pith:2021:F34X77OLD7RDV4673WTQ37QSWA

not attested not anchored not stored refs pending

A note on the mean values of the derivatives of $\zeta'/\zeta$

Andr\'es Chirre

arxiv:2107.13636 v2 · 2021-07-28 · 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{F34X77OLD7RDV4673WTQ37QSWA}

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	2026-07-05T03:44:54.876024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef97ffdcb1fe23af3dfdda70dfe12b01bda935f4a47f9b4fae6f8c3b88f4e2d

Aliases

arxiv: 2107.13636 · arxiv_version: 2107.13636v2 · doi: 10.48550/arxiv.2107.13636 · pith_short_12: F34X77OLD7RD · pith_short_16: F34X77OLD7RDV467 · pith_short_8: F34X77OL

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/F34X77OLD7RDV4673WTQ37QSWA \
  | 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: 2ef97ffdcb1fe23af3dfdda70dfe12b01bda935f4a47f9b4fae6f8c3b88f4e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b370af40aadc5a53f881ae29033b13458b010670b2b1a6c2182801ed7f32c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-28T20:48:50Z",
    "title_canon_sha256": "5be045800e21962ba1bfbcd7997597915cb1fb77a35be4f9ac31d6577857f760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13636",
    "kind": "arxiv",
    "version": 2
  }
}