Pith Number

pith:JXLPKMEI

pith:2023:JXLPKMEIS5OOZU2UD2S2WSHROT

not attested not anchored not stored refs pending

On Correlations of Liouville-like Functions

Yichen You

arxiv:2312.06012 v2 · 2023-12-10 · 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{JXLPKMEIS5OOZU2UD2S2WSHROT}

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	2026-07-05T07:23:11.000174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dd6f53088975cecd3541ea5ab48f174c950aaacf85a485afe3cb838ecfbfe04

Aliases

arxiv: 2312.06012 · arxiv_version: 2312.06012v2 · doi: 10.48550/arxiv.2312.06012 · pith_short_12: JXLPKMEIS5OO · pith_short_16: JXLPKMEIS5OOZU2U · pith_short_8: JXLPKMEI

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/JXLPKMEIS5OOZU2UD2S2WSHROT \
  | 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: 4dd6f53088975cecd3541ea5ab48f174c950aaacf85a485afe3cb838ecfbfe04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0d2b726bdf2b32295a3a0219f8ab2d5e1cecd935cd8fac0af7c81f709f4f3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-10T21:52:46Z",
    "title_canon_sha256": "e7dc8e9a66ad3927918f12bbe908e2f85ece91c08a5ba0692381b611ec458ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.06012",
    "kind": "arxiv",
    "version": 2
  }
}