Pith Number

pith:WDAOHAGH

pith:2026:WDAOHAGHPZE553UE2R7J47FFCO

not attested not anchored not stored refs resolved

Singular geometric averages for ergodic multiflows

I.V. Bychkov, V.V. Ryzhikov

A general theorem on universal averaging for ergodic multiflows extends directly to averaging along manifolds in R^n.

arxiv:2605.12695 v1 · 2026-05-12 · math.DS

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

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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.

Claims

C1strongest claim

The general theorem on universal averaging for multiflows is applied to averaging along manifolds in R^n.

C2weakest assumption

That the multiflows under consideration satisfy the ergodicity and other conditions required by the general universal averaging theorem.

C3one line summary

A general theorem on universal averaging for ergodic multiflows is applied to averaging along manifolds in R^n.

References

5 extracted · 5 resolved · 0 Pith anchors

[3] Wiener, The ergodic theorem, Duke Math 1939

[4] Рас- сматрим эогодические потокиTt, с многомерным временемt∈Rd

[5] V.V. Kozlov, D.V. Treschev, On new forms of the ergodic theorem, J. Dynam. Control Systems, 9:3 (2003), 449-453 2003

[6] Ryzhikov, Universal Averaging for Ergodic Flows, Mat 2026

[7] Wiener, The ergodic theorem, Duke Math 1939

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:49.779271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c0e380c77e49deee84d47e9e7ca513afcf7fb416e830acb52108261c0ad20c

Aliases

arxiv: 2605.12695 · arxiv_version: 2605.12695v1 · doi: 10.48550/arxiv.2605.12695 · pith_short_12: WDAOHAGHPZE5 · pith_short_16: WDAOHAGHPZE553UE · pith_short_8: WDAOHAGH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WDAOHAGHPZE553UE2R7J47FFCO \
  | 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: b0c0e380c77e49deee84d47e9e7ca513afcf7fb416e830acb52108261c0ad20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af1c37b73d6732f8f949786a34e0d7c481effe39b3800eb22ffd47625c3c2ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-12T19:47:13Z",
    "title_canon_sha256": "593c1a48b7591bfb08d4e524a87ee8e5adb707fcec491b20c6a414c2676432e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12695",
    "kind": "arxiv",
    "version": 1
  }
}