Pith Number

pith:L5GILQXC

pith:2015:L5GILQXCERR6UMG2XR5VAQUWJQ

not attested not anchored not stored refs pending

On the pointwise entangled ergodic theorem

D\'avid Kunszenti-Kov\'acs, Tanja Eisner

arxiv:1509.05554 v4 · 2015-09-18 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5GILQXCERR6UMG2XR5VAQUWJQ}

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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	2026-05-17T23:52:19.316187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4c85c2e22463ea30dabc7b5042964c028d15b362155020319e5001f0d30cb4

Aliases

arxiv: 1509.05554 · arxiv_version: 1509.05554v4 · doi: 10.48550/arxiv.1509.05554 · pith_short_12: L5GILQXCERR6 · pith_short_16: L5GILQXCERR6UMG2 · pith_short_8: L5GILQXC

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/L5GILQXCERR6UMG2XR5VAQUWJQ \
  | 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: 5f4c85c2e22463ea30dabc7b5042964c028d15b362155020319e5001f0d30cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97dcf9ad14ca252f36abe6cc73510dad9acf9c54bda168ff51ddeeefb8b9d32a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-18T09:05:18Z",
    "title_canon_sha256": "f753cfef3dfdf7d95e837d3d9c3b990360f2070683d3c8af1c3353cf0de5d0ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05554",
    "kind": "arxiv",
    "version": 4
  }
}