Pith Number

pith:ZLKVFN3W

pith:2026:ZLKVFN3WZ6C7DTZ7ICISNXEDJV

not attested not anchored not stored refs pending

High-order tensor neural network for iteration-free structure relaxation

Hao Gao, Haoting Zhang, Jian Sun, Junjie Wang, Shaobo Yu, Yu Han, Zhennan Zhang, Zhiyue Guo

arxiv:2606.29919 v1 · 2026-06-29 · 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{ZLKVFN3WZ6C7DTZ7ICISNXEDJV}

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	2026-06-30T02:17:40.965473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad552b776cf85f1cf3f409126dc834d5a00c374d5f1df262ec270026928b787

Aliases

arxiv: 2606.29919 · arxiv_version: 2606.29919v1 · doi: 10.48550/arxiv.2606.29919 · pith_short_12: ZLKVFN3WZ6C7 · pith_short_16: ZLKVFN3WZ6C7DTZ7 · pith_short_8: ZLKVFN3W

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/ZLKVFN3WZ6C7DTZ7ICISNXEDJV \
  | 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: cad552b776cf85f1cf3f409126dc834d5a00c374d5f1df262ec270026928b787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47937c77dc28991bff049e099bbc70d2fc8ca703c34e43d8eb34517adaf88465",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-06-29T07:57:21Z",
    "title_canon_sha256": "825e5d3134aba00b71db3836cec69427cc4ee2e353d4922d4a811ff0d50586a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29919",
    "kind": "arxiv",
    "version": 1
  }
}