Pith Number

pith:AQM7SWIG

pith:2017:AQM7SWIG4QTE2HFBHRNY2ZMJNG

not attested not anchored not stored refs pending

Low-lying zeros of quadratic Dirichlet $L$-functions: A transition in the Ratios Conjecture

Anders S\"odergren, Daniel Fiorilli, James Parks

arxiv:1710.06834 v1 · 2017-10-18 · 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{AQM7SWIG4QTE2HFBHRNY2ZMJNG}

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	2026-05-18T00:32:31.960256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0419f95906e4264d1ca13c5b8d658969acbe844e3c44cd63b978537a16c2ff8d

Aliases

arxiv: 1710.06834 · arxiv_version: 1710.06834v1 · doi: 10.48550/arxiv.1710.06834 · pith_short_12: AQM7SWIG4QTE · pith_short_16: AQM7SWIG4QTE2HFB · pith_short_8: AQM7SWIG

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/AQM7SWIG4QTE2HFBHRNY2ZMJNG \
  | 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: 0419f95906e4264d1ca13c5b8d658969acbe844e3c44cd63b978537a16c2ff8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7102b5ec78aaa4d1f6e7c3224ce59f9f5343549d163861e018bb72b7cf20d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-18T17:28:33Z",
    "title_canon_sha256": "76e9fed4a1ad6683855bd62f1d7438c50a81a1a7402681702ee526f7ac57317e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06834",
    "kind": "arxiv",
    "version": 1
  }
}