Pith Number

pith:WDBVFHYG

pith:2025:WDBVFHYGU6AJROFJ2DL6LX62OW

not attested not anchored not stored refs pending

Asymptotic properties of zeros of Riemann zeta function

Juan Arias de Reyna, Yves Meyer

arxiv:2507.07253 v1 · 2025-07-09 · 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{WDBVFHYGU6AJROFJ2DL6LX62OW}

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	2026-07-05T11:34:54.632084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c3529f06a78098b8a9d0d7e5dfda759b62674d47d867c5b8b185b311b7d0b0

Aliases

arxiv: 2507.07253 · arxiv_version: 2507.07253v1 · doi: 10.48550/arxiv.2507.07253 · pith_short_12: WDBVFHYGU6AJ · pith_short_16: WDBVFHYGU6AJROFJ · pith_short_8: WDBVFHYG

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/WDBVFHYGU6AJROFJ2DL6LX62OW \
  | 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: b0c3529f06a78098b8a9d0d7e5dfda759b62674d47d867c5b8b185b311b7d0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d65be9cd2a669cee567407656d34d074d0724f8fac0dffe1d701dd188f50f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-09T19:54:26Z",
    "title_canon_sha256": "30247deec57e3db9dcb7526aacbd38a3605dfb36c673b36a762c57248addf6a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07253",
    "kind": "arxiv",
    "version": 1
  }
}