Pith Number

pith:W5AVVZPV

pith:2023:W5AVVZPVFHUEKRIUQYWP627GLO

not attested not anchored not stored refs pending

Murmurations of Dirichlet characters

Alexey Pozdnyakov, Kyu-Hwan Lee, Thomas Oliver

arxiv:2307.00256 v4 · 2023-07-01 · 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{W5AVVZPVFHUEKRIUQYWP627GLO}

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

Murmurations using Petersson trace formula

Receipt and verification

First computed	2026-07-05T09:59:41.839327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7415ae5f529e8454514862cff6be65bb8123f92c15a1b164b1d11ac3f209e06

Aliases

arxiv: 2307.00256 · arxiv_version: 2307.00256v4 · doi: 10.48550/arxiv.2307.00256 · pith_short_12: W5AVVZPVFHUE · pith_short_16: W5AVVZPVFHUEKRIU · pith_short_8: W5AVVZPV

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/W5AVVZPVFHUEKRIUQYWP627GLO \
  | 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: b7415ae5f529e8454514862cff6be65bb8123f92c15a1b164b1d11ac3f209e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f70b37bd848044029c14557865366ffee9d5c142c3e7da386fe0063b43af5d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-07-01T07:35:31Z",
    "title_canon_sha256": "90a06fa52e08f11cc02b9551e3345a4dc0d8f4520a18f7478a314d38e4079e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.00256",
    "kind": "arxiv",
    "version": 4
  }
}