Pith Number

pith:OGLKMY5B

pith:2026:OGLKMY5B6BJLFAABOY7UUEQSSS

not attested not anchored not stored refs pending

Scaling and Analytical Approximation of Porous Electrode Theory for Reaction-limited Batteries

Martin Z. Bazant, Shakul Pathak

A lean model governed by four dimensionless numbers simplifies porous electrode theory for reaction-limited batteries.

arxiv:2604.16627 v2 · 2026-04-17 · eess.SY · cs.SY

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\usepackage{pith}
\pithnumber{OGLKMY5B6BJLFAABOY7UUEQSSS}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications 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

By assuming high-performance electrodes minimize transport limitations and overpotentials, we derive a simplified 'lean model' governed by four dimensionless numbers... For batteries, we derive analytical solutions for standard protocols... our formulae show excellent agreement at negligible computational cost.

C2weakest assumption

The assumption that high-performance electrodes minimize transport limitations and overpotentials, which is invoked to justify collapsing the full porous electrode theory into the lean model (stated in the abstract).

C3one line summary

Scaling analysis produces a lean porous electrode model with four Damkohler numbers (Da, Da_p, Da_w, Da_c) and closed-form solutions for battery protocols that match full simulations.

Receipt and verification

First computed	2026-07-02T01:18:08.213005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7196a663a1f052b28001763f4a1212949cec0740d72a7232e3649fc5a0368401

Aliases

arxiv: 2604.16627 · arxiv_version: 2604.16627v2 · doi: 10.48550/arxiv.2604.16627 · pith_short_12: OGLKMY5B6BJL · pith_short_16: OGLKMY5B6BJLFAAB · pith_short_8: OGLKMY5B

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OGLKMY5B6BJLFAABOY7UUEQSSS \
  | 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: 7196a663a1f052b28001763f4a1212949cec0740d72a7232e3649fc5a0368401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ad15b0a5026ae7deb13bdc2eca268575cd6dda6b4f7ec98b92a70b614d1bd2",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-04-17T18:28:17Z",
    "title_canon_sha256": "85b584bd799d7b7f4da992894ba7f4f8ee1ebcb35ddc293167a02f664107d287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.16627",
    "kind": "arxiv",
    "version": 2
  }
}