Pith Number

pith:ID43FY26

pith:2022:ID43FY26ME6GX5VVAM5U2PMB7K

not attested not anchored not stored refs pending

On the random Chowla conjecture

Ilya D. Shkredov, Max Wenqiang Xu, Oleksiy Klurman

arxiv:2202.08767 v2 · 2022-02-17 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID43FY26ME6GX5VVAM5U2PMB7K}

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	2026-07-05T03:58:37.074307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f9b2e35e613c6bf6b5033b4d3d81fa97889ad91ad50e228749f1cfa18c015d

Aliases

arxiv: 2202.08767 · arxiv_version: 2202.08767v2 · doi: 10.48550/arxiv.2202.08767 · pith_short_12: ID43FY26ME6G · pith_short_16: ID43FY26ME6GX5VV · pith_short_8: ID43FY26

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/ID43FY26ME6GX5VVAM5U2PMB7K \
  | 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: 40f9b2e35e613c6bf6b5033b4d3d81fa97889ad91ad50e228749f1cfa18c015d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d447573a13c4f1db5c2d22c6d8478894831da07370e0b9fd8c0538c5f9768a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-02-17T17:11:34Z",
    "title_canon_sha256": "461e0c347a26ffbfcfe9b855b32e7e060a6a7901206c58e945fa6c5fde39ffde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.08767",
    "kind": "arxiv",
    "version": 2
  }
}