Pith Number

pith:HNVMDAK5

pith:2017:HNVMDAK5G3FVVTMVQWCDAKCROC

not attested not anchored not stored refs pending

On $r$-gaps between zeros of the Riemann zeta-function

C. L. Turnage-Butterbaugh, J.B. Conrey

arxiv:1708.00030 v2 · 2017-07-31 · 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{HNVMDAK5G3FVVTMVQWCDAKCROC}

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	2026-05-18T00:24:16.914758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6ac1815d36cb5acd9585843028517081af9765c52fe5aea8308531644ab0e4

Aliases

arxiv: 1708.00030 · arxiv_version: 1708.00030v2 · doi: 10.48550/arxiv.1708.00030 · pith_short_12: HNVMDAK5G3FV · pith_short_16: HNVMDAK5G3FVVTMV · pith_short_8: HNVMDAK5

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/HNVMDAK5G3FVVTMVQWCDAKCROC \
  | 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: 3b6ac1815d36cb5acd9585843028517081af9765c52fe5aea8308531644ab0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a781a59c4d9ac26c779c609dcb803f72d51e63ff13f02c55171f791b8db0ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-31T18:16:44Z",
    "title_canon_sha256": "42d3636325c7dbd5c1236e40a393310c8706fd24764879fb32550ab154ce1a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00030",
    "kind": "arxiv",
    "version": 2
  }
}