Pith Number

pith:LKLUTRTI

pith:2016:LKLUTRTI2QVKPK7G5TIKHAHSL5

not attested not anchored not stored refs pending

The first moment of twisted Hecke $L$-functions with unbounded shifts

Sandro Bettin

arxiv:1605.02440 v1 · 2016-05-09 · 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{LKLUTRTI2QVKPK7G5TIKHAHSL5}

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	2026-05-18T00:20:52.571391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9749c668d42aa7abe6ecd0a380f25f4f53fbac7c65729501c4c524573d2aae

Aliases

arxiv: 1605.02440 · arxiv_version: 1605.02440v1 · doi: 10.48550/arxiv.1605.02440 · pith_short_12: LKLUTRTI2QVK · pith_short_16: LKLUTRTI2QVKPK7G · pith_short_8: LKLUTRTI

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/LKLUTRTI2QVKPK7G5TIKHAHSL5 \
  | 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: 5a9749c668d42aa7abe6ecd0a380f25f4f53fbac7c65729501c4c524573d2aae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4de3f83b0814cd83b9e402eb166266c40b92ebbc2c88425ac8b2207678cf6de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-09T07:11:31Z",
    "title_canon_sha256": "f57d2112f797eaee2a6ca31747b79f086a4830bc353f952338bb7636ba200de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02440",
    "kind": "arxiv",
    "version": 1
  }
}