Pith Number

pith:34TUEGRO

pith:2018:34TUEGROADPHUOBARZELV32K6V

not attested not anchored not stored refs pending

Low-lying zeros of cubic Dirichlet $L$-functions and the Ratios Conjecture

Jeongho Park, Peter J. Cho

arxiv:1802.01762 v2 · 2018-02-06 · 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{34TUEGROADPHUOBARZELV32K6V}

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	2026-05-17T23:55:59.485730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df27421a2e00de7a38208e48baef4af563e39ab679b94c14f1a589ccc579971d

Aliases

arxiv: 1802.01762 · arxiv_version: 1802.01762v2 · doi: 10.48550/arxiv.1802.01762 · pith_short_12: 34TUEGROADPH · pith_short_16: 34TUEGROADPHUOBA · pith_short_8: 34TUEGRO

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/34TUEGROADPHUOBARZELV32K6V \
  | 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: df27421a2e00de7a38208e48baef4af563e39ab679b94c14f1a589ccc579971d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d1a050ace24d4781cee83a76f8f4c16cf673837fe03753a5c09c68a1fba81ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-06T01:59:19Z",
    "title_canon_sha256": "8e33ef37fd5ba88b7db322a5a782546b9c2da1889e4725cedb36b6bba2555ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01762",
    "kind": "arxiv",
    "version": 2
  }
}