Pith Number

pith:GVXDVR7C

pith:2012:GVXDVR7CTDVJRGYEH5ADCOH7KQ

not attested not anchored not stored refs pending

On series $\sum c_k f(kx)$ and Khinchin's conjecture

Istvan Berkes, Michel Weber

arxiv:1210.4326 v2 · 2012-10-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVXDVR7CTDVJRGYEH5ADCOH7KQ}

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	2026-05-18T00:39:58.789839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356e3ac7e298ea989b043f403138ff542a42244b0406891d5c0c5444cc69df67

Aliases

arxiv: 1210.4326 · arxiv_version: 1210.4326v2 · doi: 10.48550/arxiv.1210.4326 · pith_short_12: GVXDVR7CTDVJ · pith_short_16: GVXDVR7CTDVJRGYE · pith_short_8: GVXDVR7C

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/GVXDVR7CTDVJRGYEH5ADCOH7KQ \
  | 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: 356e3ac7e298ea989b043f403138ff542a42244b0406891d5c0c5444cc69df67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb78dab11f0e800d247047babb8861fec523fb086630021ad470d8faaee84677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-16T09:35:30Z",
    "title_canon_sha256": "7a104819fee5d23236d73a4d0120ce61b24ec363d0871ca2a7e8bddd6aa5864f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4326",
    "kind": "arxiv",
    "version": 2
  }
}