Pith Number

pith:GTTRCZNR

pith:2023:GTTRCZNR4KKOMVEN6MCCM7LSCR

not attested not anchored not stored refs pending

A conservative hybrid physics-informed neural network method for Maxwell-Amp\`{e}re-Nernst-Planck equations

Cheng Chang, Tieyong Zeng, Zhouping Xin

arxiv:2312.05891 v1 · 2023-12-10 · math.NA · cs.LG · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTTRCZNR4KKOMVEN6MCCM7LSCR}

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	2026-07-05T07:22:34.665652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e71165b1e294e6548df304267d721472c029d9f4ff582c87606ad4021205c1

Aliases

arxiv: 2312.05891 · arxiv_version: 2312.05891v1 · doi: 10.48550/arxiv.2312.05891 · pith_short_12: GTTRCZNR4KKO · pith_short_16: GTTRCZNR4KKOMVEN · pith_short_8: GTTRCZNR

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/GTTRCZNR4KKOMVEN6MCCM7LSCR \
  | 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: 34e71165b1e294e6548df304267d721472c029d9f4ff582c87606ad4021205c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e461238aa79d7b0230490274889f3371b5a5218c38c4b1d3406da10eec9e51b0",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-12-10T13:58:41Z",
    "title_canon_sha256": "86f594f5d118f51fe4d6143f2193574ae68e34b84d9d76d16b92ffe6522fa272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.05891",
    "kind": "arxiv",
    "version": 1
  }
}