Pith Number

pith:2XTS57GK

pith:2025:2XTS57GK4KMVSRSAQEF5QYYVVV

not attested not anchored not stored refs pending

On the vector potential formulation with an energy-based hysteresis model and its numerical solution

Felix Engertsberger, Herbert Egger

arxiv:2507.14521 v1 · 2025-07-19 · math.NA · 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{2XTS57GK4KMVSRSAQEF5QYYVVV}

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	2026-07-05T11:40:08.790944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e72efccae299594640810bd86315ad6f713b9a68493fb2b558640492343459

Aliases

arxiv: 2507.14521 · arxiv_version: 2507.14521v1 · doi: 10.48550/arxiv.2507.14521 · pith_short_12: 2XTS57GK4KMV · pith_short_16: 2XTS57GK4KMVSRSA · pith_short_8: 2XTS57GK

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/2XTS57GK4KMVSRSAQEF5QYYVVV \
  | 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: d5e72efccae299594640810bd86315ad6f713b9a68493fb2b558640492343459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "946e8af6a77707c8d205fca44017ecf0acdc2556f6f8e4bb2b785a3764f14e7a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-19T07:50:27Z",
    "title_canon_sha256": "f23d40f0a05537a3c92ab632f807963ca7e50dfaf9636c0d77d8784c983661cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14521",
    "kind": "arxiv",
    "version": 1
  }
}