Pith Number

pith:CKNFEIHA

pith:2016:CKNFEIHABLK6RJDRX256VMHP3H

not attested not anchored not stored refs pending

Low-lying zeros of quadratic Dirichlet $L$-functions: Lower order terms for extended support

Anders S\"odergren, Daniel Fiorilli, James Parks

arxiv:1601.06833 v1 · 2016-01-25 · 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{CKNFEIHABLK6RJDRX256VMHP3H}

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	2026-05-17T23:53:13.406748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129a5220e00ad5e8a471bebbeab0efd9c73e18512a97027402cde69af12da07a

Aliases

arxiv: 1601.06833 · arxiv_version: 1601.06833v1 · doi: 10.48550/arxiv.1601.06833 · pith_short_12: CKNFEIHABLK6 · pith_short_16: CKNFEIHABLK6RJDR · pith_short_8: CKNFEIHA

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/CKNFEIHABLK6RJDRX256VMHP3H \
  | 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: 129a5220e00ad5e8a471bebbeab0efd9c73e18512a97027402cde69af12da07a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03deb6c997fdc245daedc0d2d7a31b9186bc160c048d3919d3fe6720bb2670d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-25T22:16:43Z",
    "title_canon_sha256": "d51d6343358b1d39abb078f042ef5a52ddc11e71e2d19a8e23a5e47f9b9e6b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06833",
    "kind": "arxiv",
    "version": 1
  }
}