Pith Number

pith:LOCBVXIF

pith:2016:LOCBVXIFLB76OS3L6CNROQL4QF

not attested not anchored not stored refs pending

Local Behavior of Arithmetical Functions with Applications to Automorphic L-Functions

Jianya Liu, Jie Wu (IECL), Yuk-Kam Lau

arxiv:1602.09097 v2 · 2016-02-29 · 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{LOCBVXIFLB76OS3L6CNROQL4QF}

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	2026-05-18T01:19:33.686671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b841add05587fe74b6bf09b17417c8173e16cd56824804d900512befc4f1d5d

Aliases

arxiv: 1602.09097 · arxiv_version: 1602.09097v2 · doi: 10.48550/arxiv.1602.09097 · pith_short_12: LOCBVXIFLB76 · pith_short_16: LOCBVXIFLB76OS3L · pith_short_8: LOCBVXIF

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/LOCBVXIFLB76OS3L6CNROQL4QF \
  | 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: 5b841add05587fe74b6bf09b17417c8173e16cd56824804d900512befc4f1d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd5ecd19af0838ea71e188e6505d76ed0f3b7515c8a459b6cd5721919a0f38e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-29T18:57:43Z",
    "title_canon_sha256": "cec10469dc6ab2004edfc2aafe4bee1c8bc10b07b44c4f4380b081cd938aba10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.09097",
    "kind": "arxiv",
    "version": 2
  }
}