Pith Number

pith:D5P6AMDD

pith:2013:D5P6AMDDEQPUPFRAXXM3B4WEHD

not attested not anchored not stored refs pending

Monotonicity Results for Dirichlet L-functions

Alexandru Zaharescu, Arindam Roy, Atul Dixit

arxiv:1304.0827 v2 · 2013-04-03 · 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{D5P6AMDDEQPUPFRAXXM3B4WEHD}

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	2026-05-18T03:28:32.718905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5fe03063241f479620bdd9b0f2c438d9980bc62ddd0c4f7772d07e0daeeabe

Aliases

arxiv: 1304.0827 · arxiv_version: 1304.0827v2 · doi: 10.48550/arxiv.1304.0827 · pith_short_12: D5P6AMDDEQPU · pith_short_16: D5P6AMDDEQPUPFRA · pith_short_8: D5P6AMDD

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/D5P6AMDDEQPUPFRAXXM3B4WEHD \
  | 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: 1f5fe03063241f479620bdd9b0f2c438d9980bc62ddd0c4f7772d07e0daeeabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ddc1fae89b675dc4b1e7e105f012e85b4ea0238dc824e193d2a181a7d55b3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-03T03:02:02Z",
    "title_canon_sha256": "493ef7f3b839c7c05beb56687cdb37e7683805276b26c8d2a99f737430584271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0827",
    "kind": "arxiv",
    "version": 2
  }
}