Pith Number

pith:J5OL6275

pith:2013:J5OL6275FD7NU7N5VDU7MTHL5U

not attested not anchored not stored refs pending

On simple zeros of the Riemann zeta-function

D. R. Heath-Brown, H. M. Bui

arxiv:1302.5018 v1 · 2013-02-20 · 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{J5OL6275FD7NU7N5VDU7MTHL5U}

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	2026-05-18T02:57:53.071121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5cbf6bfd28feda7dbda8e9f64cebed0172e4e92b2bca8096717a656445a150

Aliases

arxiv: 1302.5018 · arxiv_version: 1302.5018v1 · doi: 10.48550/arxiv.1302.5018 · pith_short_12: J5OL6275FD7N · pith_short_16: J5OL6275FD7NU7N5 · pith_short_8: J5OL6275

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/J5OL6275FD7NU7N5VDU7MTHL5U \
  | 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: 4f5cbf6bfd28feda7dbda8e9f64cebed0172e4e92b2bca8096717a656445a150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9758f81eb46454bd93531f2aabb2c6d1a30a35819d0806f2b0b6e68384a7b160",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-20T16:26:43Z",
    "title_canon_sha256": "4b241347849580ac9b4212789ad88f888261891b0895784eb3e3f1b2553b5047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5018",
    "kind": "arxiv",
    "version": 1
  }
}