Pith Number

pith:WT6VNAB3

pith:2015:WT6VNAB3RKYXA64NHFHUS3JSW2

not attested not anchored not stored refs pending

The Number of Zeros of $\zeta'(s)$

Fan Ge

arxiv:1512.06419 v2 · 2015-12-20 · 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{WT6VNAB3RKYXA64NHFHUS3JSW2}

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	2026-05-18T01:17:07.647403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4fd56803b8ab1707b8d394f496d32b688f5f2b5d073d3623beed8aa82d50778

Aliases

arxiv: 1512.06419 · arxiv_version: 1512.06419v2 · doi: 10.48550/arxiv.1512.06419 · pith_short_12: WT6VNAB3RKYX · pith_short_16: WT6VNAB3RKYXA64N · pith_short_8: WT6VNAB3

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/WT6VNAB3RKYXA64NHFHUS3JSW2 \
  | 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: b4fd56803b8ab1707b8d394f496d32b688f5f2b5d073d3623beed8aa82d50778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df1b272a7272b728e985ffd2e870ba34ca049e0286b3a271b0fb5dd7871f4c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-20T18:52:48Z",
    "title_canon_sha256": "28ffd6ce7c33f6a4dddda26521958d0ffeeec2774b2352d9178d110b420eabed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06419",
    "kind": "arxiv",
    "version": 2
  }
}