Pith Number

pith:TXOHMOUG

pith:2015:TXOHMOUGP32BBIZT7BCF6ZRT4U

not attested not anchored not stored refs pending

A cubic nonconventional ergodic average with M\"obius and Liouville weight

el Houcein el Abdalaoui, Xiangdong Ye

arxiv:1504.00950 v2 · 2015-04-03 · 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{TXOHMOUGP32BBIZT7BCF6ZRT4U}

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	2026-05-18T02:07:26.334759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ddc763a867ef410a333f8445f6633e50cce7df66f8bfa41d40a4801cf07850a

Aliases

arxiv: 1504.00950 · arxiv_version: 1504.00950v2 · doi: 10.48550/arxiv.1504.00950 · pith_short_12: TXOHMOUGP32B · pith_short_16: TXOHMOUGP32BBIZT · pith_short_8: TXOHMOUG

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/TXOHMOUGP32BBIZT7BCF6ZRT4U \
  | 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: 9ddc763a867ef410a333f8445f6633e50cce7df66f8bfa41d40a4801cf07850a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b66e2bd8f96a8cb61f207f8662070f3f6f15e5447597c8949cfd80627a60c1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-03T22:18:56Z",
    "title_canon_sha256": "4ad8f09b4b49309dec599988053f4756e92fe3fc69e6e362e16fb5ab945ccb79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00950",
    "kind": "arxiv",
    "version": 2
  }
}