Pith Number

pith:MPVAMZFD

pith:2026:MPVAMZFD3I7MZQNQHIOWEFNM7J

not attested not anchored not stored refs pending

Physics-constrained neural networks for surrogate modeling of lossless periodic structures

Eric Prehn, Peter Jung

arxiv:2606.28119 v1 · 2026-06-26 · physics.optics · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPVAMZFD3I7MZQNQHIOWEFNM7J}

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	2026-06-29T01:15:06.600709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ea0664a3da3eccc1b03a1d6215acfa63d34bae0a868c61b96a9df667ea8ed0

Aliases

arxiv: 2606.28119 · arxiv_version: 2606.28119v1 · doi: 10.48550/arxiv.2606.28119 · pith_short_12: MPVAMZFD3I7M · pith_short_16: MPVAMZFD3I7MZQNQ · pith_short_8: MPVAMZFD

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/MPVAMZFD3I7MZQNQHIOWEFNM7J \
  | 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: 63ea0664a3da3eccc1b03a1d6215acfa63d34bae0a868c61b96a9df667ea8ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32aec0500918b3c2a84f69fb3b0103f3765257c6e8663899cae5d86dd04d49c3",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-26T14:19:41Z",
    "title_canon_sha256": "db5c0db5093246d417112994c023ccfcf45584f735e4de2f1b034dcadaf9d50d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28119",
    "kind": "arxiv",
    "version": 1
  }
}