Pith Number

pith:5OW7GE5N

pith:2016:5OW7GE5N7CKNGZ7VFNNJSBFNG4

not attested not anchored not stored refs pending

Moments of L-functions and Liouville-Green method

Dmitry Frolenkov, Olga Balkanova

arxiv:1610.03465 v3 · 2016-10-11 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OW7GE5N7CKNGZ7VFNNJSBFNG4}

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	2026-05-17T23:59:26.680442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebadf313adf894d367f52b5a9904ad373235be3333e3a0b6fbdc634ec7bb775f

Aliases

arxiv: 1610.03465 · arxiv_version: 1610.03465v3 · doi: 10.48550/arxiv.1610.03465 · pith_short_12: 5OW7GE5N7CKN · pith_short_16: 5OW7GE5N7CKNGZ7V · pith_short_8: 5OW7GE5N

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/5OW7GE5N7CKNGZ7VFNNJSBFNG4 \
  | 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: ebadf313adf894d367f52b5a9904ad373235be3333e3a0b6fbdc634ec7bb775f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6f2dc91119efa58ba076a6815f4c98f3bd5ca1712aea77157b0d84c8266387",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-11T18:58:01Z",
    "title_canon_sha256": "cf7c3b3b6b395467f6908e7a2095c569fb9be21dc2943bbe4d690ac515e13dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03465",
    "kind": "arxiv",
    "version": 3
  }
}