Pith. sign in
Pith Number

pith:FGDP7YE6

pith:2025:FGDP7YE6MA5THXO3QCPA7U5JWW
not attested not anchored not stored refs pending

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method

Dan Zhao, Yitao He

arxiv:2501.05917 v1 · 2025-01-10 · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FGDP7YE6MA5THXO3QCPA7U5JWW}

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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 2026-07-05T09:59:30.316683Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2986ffe09e603b33dddb809e0fd3a9b5b48357c9ce9e8315347483dc71f7ba60

Aliases

arxiv: 2501.05917 · arxiv_version: 2501.05917v1 · doi: 10.48550/arxiv.2501.05917 · pith_short_12: FGDP7YE6MA5T · pith_short_16: FGDP7YE6MA5THXO3 · pith_short_8: FGDP7YE6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FGDP7YE6MA5THXO3QCPA7U5JWW \
  | 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: 2986ffe09e603b33dddb809e0fd3a9b5b48357c9ce9e8315347483dc71f7ba60
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02aaddb8d21b92fd34d98a18786096a5063533d71a6999d37f1ead9a7be80197",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2025-01-10T12:22:06Z",
    "title_canon_sha256": "44c3be04c90e39ac5f1c794654dbf7ddbbf0a0ad87a33f81b5200d0616bb0790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05917",
    "kind": "arxiv",
    "version": 1
  }
}