Pith Number

pith:FPFOOABE

pith:2013:FPFOOABEID6IYUB6N32JSSFNJ5

not attested not anchored not stored refs pending

What does a rate in a mean ergodic theorem imply?

Alexander Gomilko, Yuri Tomilov

arxiv:1311.5913 v1 · 2013-11-22 · math.FA · 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{FPFOOABEID6IYUB6N32JSSFNJ5}

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	2026-05-18T03:06:21.122415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bcae7002440fc8c503e6ef49948ad4f74c6de192d26b575e03ef4b8c91e153b

Aliases

arxiv: 1311.5913 · arxiv_version: 1311.5913v1 · doi: 10.48550/arxiv.1311.5913 · pith_short_12: FPFOOABEID6I · pith_short_16: FPFOOABEID6IYUB6 · pith_short_8: FPFOOABE

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/FPFOOABEID6IYUB6N32JSSFNJ5 \
  | 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: 2bcae7002440fc8c503e6ef49948ad4f74c6de192d26b575e03ef4b8c91e153b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce80fd57df4783b1eea19bb8b7bc4f2ef92d41f0fa2047c9b24114efe4ad168b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-22T21:51:35Z",
    "title_canon_sha256": "f651109a4336df895d660f9b97753950ceaef8fe301553893acbfa74ab846c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5913",
    "kind": "arxiv",
    "version": 1
  }
}