Pith Number

pith:CEUT6SZY

pith:2011:CEUT6SZYOGOTURA4HFEHHUPX6X

not attested not anchored not stored refs pending

Quantitative ergodic theorems for weakly integrable functions

Alan Haynes

arxiv:1112.1585 v1 · 2011-12-07 · 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{CEUT6SZYOGOTURA4HFEHHUPX6X}

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	2026-05-17T23:53:19.067400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11293f4b38719d3a441c394873d1f7f5ce7ec845631341b3a7453b02b758a4d3

Aliases

arxiv: 1112.1585 · arxiv_version: 1112.1585v1 · doi: 10.48550/arxiv.1112.1585 · pith_short_12: CEUT6SZYOGOT · pith_short_16: CEUT6SZYOGOTURA4 · pith_short_8: CEUT6SZY

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/CEUT6SZYOGOTURA4HFEHHUPX6X \
  | 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: 11293f4b38719d3a441c394873d1f7f5ce7ec845631341b3a7453b02b758a4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14fe25f1a78c99738f6a200eea58cabd214d276e40a84f08446e3dd38c9bf771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-07T14:56:08Z",
    "title_canon_sha256": "1f5ddad7a239e167a0ca17883e55a32f114ef875b14424b21c7b7b6c43e8da6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1585",
    "kind": "arxiv",
    "version": 1
  }
}