Pith Number

pith:EE3CRHMZ

pith:2024:EE3CRHMZXYDZXSJIE3X3DZCLJA

not attested not anchored not stored refs pending

Zeros of $L$-Functions in Low-Lying Intervals and de Branges spaces

Antonio Pedro Ramos

arxiv:2404.07832 v1 · 2024-04-11 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EE3CRHMZXYDZXSJIE3X3DZCLJA}

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	2026-07-05T08:06:58.291535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2136289d99be079bc92826efb1e44b480b77cc1dfa65058adf355cfb04c58f28

Aliases

arxiv: 2404.07832 · arxiv_version: 2404.07832v1 · doi: 10.48550/arxiv.2404.07832 · pith_short_12: EE3CRHMZXYDZ · pith_short_16: EE3CRHMZXYDZXSJI · pith_short_8: EE3CRHMZ

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/EE3CRHMZXYDZXSJIE3X3DZCLJA \
  | 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: 2136289d99be079bc92826efb1e44b480b77cc1dfa65058adf355cfb04c58f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8832f185c882df30c905eaa6240342329b00ca8c479022fea1d06c9dc4b1a7c0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-11T15:18:13Z",
    "title_canon_sha256": "ae575e994088af25ca3cde4376ba13decbd9a8a3300b43be3fcb245f8f45124f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.07832",
    "kind": "arxiv",
    "version": 1
  }
}