Pith Number

pith:PMXMEMX5

pith:2026:PMXMEMX55QQXVRLD2U5CILMYZM

not attested not anchored not stored refs resolved

Integral-equation analysis of transient diffusion-limited currents at disk electrodes: Asymptotic expansion and compact approximation

Kazuhiko Seki, Masahiro Yamamoto, Yuko Yokoyama

A Padé approximant yields a compact analytical expression for transient currents at disk electrodes over experimental time ranges.

arxiv:2604.09274 v1 · 2026-04-10 · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMXMEMX55QQXVRLD2U5CILMYZM}

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.

Claims

C1strongest claim

A Padé approximant yields a compact analytical expression in the time domain that accurately describes the current over experimentally relevant time ranges.

C2weakest assumption

The mixed-boundary diffusion problem can be reduced without loss of accuracy to a Fredholm integral equation in the Laplace domain whose solution directly determines the Faradaic current.

C3one line summary

A Laplace-domain Fredholm integral equation plus Padé approximant yields a compact analytical expression for the transient diffusion-limited current at disk electrodes across relevant timescales.

References

73 extracted · 73 resolved · 0 Pith anchors

[1] Hapiot \ and\ author C 2008 · doi:10.1021/cr0680686

[2] Winlove , author K 1984 · doi:10.1016/0022-0728(84)80051-0

[3] Denuault , author M 1991 · doi:10.1016/0022-0728(91)85056-u

[4] O'Hare , author C 1991 · doi:10.1016/0141-5425(91)90112-k

[5] Aoki ,\ https://doi.org/10.1002/elan.1140050802 journal journal Electroanalysis \ volume 5 ,\ pages 627 ( year 1993 ) NoStop 1993 · doi:10.1002/elan.1140050802

Receipt and verification

First computed	2026-06-05T01:14:38.206701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2ec232fdec217ac563d53a242d98cb1a447970545e8bb97f557441d5d0634c

Aliases

arxiv: 2604.09274 · arxiv_version: 2604.09274v1 · doi: 10.48550/arxiv.2604.09274 · pith_short_12: PMXMEMX55QQX · pith_short_16: PMXMEMX55QQXVRLD · pith_short_8: PMXMEMX5

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/PMXMEMX55QQXVRLD2U5CILMYZM \
  | 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: 7b2ec232fdec217ac563d53a242d98cb1a447970545e8bb97f557441d5d0634c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356364107ac4a87e45a4d70f81fbfb8b2f221bee08544564fd842b4714ea743a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-04-10T12:40:59Z",
    "title_canon_sha256": "510051ab0e44eb410be3777644397fedbc212a3cfb20685033c9161a191af284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.09274",
    "kind": "arxiv",
    "version": 1
  }
}