Pith Number

pith:GLRGZKDF

pith:2017:GLRGZKDF3GPP65UXTYX4HTN652

not attested not anchored not stored refs pending

On the multiplicites of zeros of $\zeta(s)$ and its values over short intervals

Aleksandar Ivi\'c

arxiv:1706.08268 v1 · 2017-06-26 · 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{GLRGZKDF3GPP65UXTYX4HTN652}

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	2026-05-18T00:41:43.002054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32e26ca865d99eff76979e2fc3cdbeee85b9b49293f625c04d726e9eded7985d

Aliases

arxiv: 1706.08268 · arxiv_version: 1706.08268v1 · doi: 10.48550/arxiv.1706.08268 · pith_short_12: GLRGZKDF3GPP · pith_short_16: GLRGZKDF3GPP65UX · pith_short_8: GLRGZKDF

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/GLRGZKDF3GPP65UXTYX4HTN652 \
  | 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: 32e26ca865d99eff76979e2fc3cdbeee85b9b49293f625c04d726e9eded7985d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb1792796a91d12d51fac0a478abf9415563aa8b7e94edde3e053897c588a273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-26T08:07:47Z",
    "title_canon_sha256": "ee9ecef92eac40fe869cf97aca4ef8a13209e8a5063e01fe3c44ed3c355a5481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08268",
    "kind": "arxiv",
    "version": 1
  }
}