Pith Number

pith:WROVJSF5

pith:2011:WROVJSF5DP75UIIR6MBYYZYXC6

not attested not anchored not stored refs pending

Critical zeros of Dirichlet $L$-functions

Brian Conrey, Henryk Iwaniec, Kannan Soundararajan

arxiv:1105.1177 v1 · 2011-05-05 · 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{WROVJSF5DP75UIIR6MBYYZYXC6}

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

Low-Lying Zeros on the Critical Line for Families of Dirichlet $L$-Functions

Receipt and verification

First computed	2026-05-18T04:22:40.931945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45d54c8bd1bffda2111f3038c671717a270c18648ee42a62bb350b9c3a01aaa

Aliases

arxiv: 1105.1177 · arxiv_version: 1105.1177v1 · doi: 10.48550/arxiv.1105.1177 · pith_short_12: WROVJSF5DP75 · pith_short_16: WROVJSF5DP75UIIR · pith_short_8: WROVJSF5

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/WROVJSF5DP75UIIR6MBYYZYXC6 \
  | 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: b45d54c8bd1bffda2111f3038c671717a270c18648ee42a62bb350b9c3a01aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e388c32535457b6e35b98cf439196efb2fa840b5f3ec150b4ccb1454ea47fe20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-05T21:24:36Z",
    "title_canon_sha256": "ca192594cf3e0d6bd31b78dbd5e6d20242ea79692878a62c9ec43f2c00f77345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1177",
    "kind": "arxiv",
    "version": 1
  }
}