Pith Number

pith:AH5KQVSW

pith:2023:AH5KQVSW3G7OLVSVZN6XXPQGEI

not attested not anchored not stored refs pending

An effective Linear Independence conjecture for the zeros of the Riemann zeta function and applications

Youness Lamzouri

arxiv:2311.04860 v2 · 2023-11-08 · 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{AH5KQVSW3G7OLVSVZN6XXPQGEI}

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.

Cited by

1 paper in Pith

A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races

Receipt and verification

First computed	2026-07-05T08:15:41.536757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01faa85656d9bee5d655cb7d7bbe06221db81afad5f3e297aaeb98cda5d7506d

Aliases

arxiv: 2311.04860 · arxiv_version: 2311.04860v2 · doi: 10.48550/arxiv.2311.04860 · pith_short_12: AH5KQVSW3G7O · pith_short_16: AH5KQVSW3G7OLVSV · pith_short_8: AH5KQVSW

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/AH5KQVSW3G7OLVSVZN6XXPQGEI \
  | 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: 01faa85656d9bee5d655cb7d7bbe06221db81afad5f3e297aaeb98cda5d7506d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d198b80a9147de7c9ee64b84f788a8242bb16e02ce4600cc0f8c468fd4971c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-08T17:56:36Z",
    "title_canon_sha256": "164db6f79e99e6232823f44dd2dac8c3b2a30e045174a5532d449f8947f39b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.04860",
    "kind": "arxiv",
    "version": 2
  }
}