Pith Number

pith:FJWSGI4Q

pith:2018:FJWSGI4QYAY2S25IUW22S4OAI7

not attested not anchored not stored refs pending

On the pointwise convergence of the cubic average with multiplicative or von Mangoldt weights

el Houcein el Abdalaoui, Xiangdong Ye

arxiv:1807.01158 v1 · 2018-07-02 · math.DS · 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{FJWSGI4QYAY2S25IUW22S4OAI7}

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	2026-05-18T00:11:45.094123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6d232390c031a96ba8a5b5a971c047c60318279869969c8743b2b463e0903c

Aliases

arxiv: 1807.01158 · arxiv_version: 1807.01158v1 · doi: 10.48550/arxiv.1807.01158 · pith_short_12: FJWSGI4QYAY2 · pith_short_16: FJWSGI4QYAY2S25I · pith_short_8: FJWSGI4Q

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/FJWSGI4QYAY2S25IUW22S4OAI7 \
  | 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: 2a6d232390c031a96ba8a5b5a971c047c60318279869969c8743b2b463e0903c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f853c85cad556ab147f9410a0ec0cd9148ff2b58675a1ccf1b3aedda6a1df22",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-02T16:03:19Z",
    "title_canon_sha256": "f6ef3eff67ae720f99199889d70457f93af31b167e6e455d4498429c687769d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01158",
    "kind": "arxiv",
    "version": 1
  }
}