Pith Number

pith:P2J525UY

pith:2012:P2J525UYPZNZRWHGATVF6QYZQR

not attested not anchored not stored refs pending

The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field

Dan Carmon, Zeev Rudnick

arxiv:1205.1599 v3 · 2012-05-08 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2J525UYPZNZRWHGATVF6QYZQR}

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	2026-05-18T03:38:46.186855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e93dd76987e5b98d8e604ea5f431984586d181af9d5e13f5813e0c453e1f8f1

Aliases

arxiv: 1205.1599 · arxiv_version: 1205.1599v3 · doi: 10.48550/arxiv.1205.1599 · pith_short_12: P2J525UYPZNZ · pith_short_16: P2J525UYPZNZRWHG · pith_short_8: P2J525UY

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/P2J525UYPZNZRWHGATVF6QYZQR \
  | 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: 7e93dd76987e5b98d8e604ea5f431984586d181af9d5e13f5813e0c453e1f8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ee84333f2b9de3ae0e2626a7448a2df9edbca70aa8a253bed6d11020b2686e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-08T06:24:29Z",
    "title_canon_sha256": "7544ce387c0c3ae4180d074535c45ed9906b5e58cddadcbb67d6a3a629e1cbd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1599",
    "kind": "arxiv",
    "version": 3
  }
}