Pith Number

pith:7C3OWH4S

pith:2024:7C3OWH4SBJLJVZI4QAODRF3PFN

not attested not anchored not stored refs pending

Optimal-rate error estimates and a twice decoupled solver for a backward Euler finite element scheme of the Doyle-Fuller-Newman model of lithium-ion cells

Liqun Cao, Shu Xu

arxiv:2411.15722 v3 · 2024-11-24 · math.NA · cs.NA · physics.chem-ph · physics.comp-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{7C3OWH4SBJLJVZI4QAODRF3PFN}

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.

Receipt and verification

First computed	2026-07-05T11:33:17.670437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b6eb1f920a569ae51c801c38976f2b5a47d5f75d6a564ff95b0bd88e8173e3

Aliases

arxiv: 2411.15722 · arxiv_version: 2411.15722v3 · doi: 10.48550/arxiv.2411.15722 · pith_short_12: 7C3OWH4SBJLJ · pith_short_16: 7C3OWH4SBJLJVZI4 · pith_short_8: 7C3OWH4S

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/7C3OWH4SBJLJVZI4QAODRF3PFN \
  | 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: f8b6eb1f920a569ae51c801c38976f2b5a47d5f75d6a564ff95b0bd88e8173e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57159c278b69400f7a6afdddb765fae166f6fb2c4c6c07f0e85dbf7ae57c271b",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.chem-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-24T05:49:34Z",
    "title_canon_sha256": "9f4df0f39a5e80edeaf09ad8a0fdd85f9866dcc9fb4bc84d8a20057496be113b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15722",
    "kind": "arxiv",
    "version": 3
  }
}