Pith Number

pith:GI7BVQ7P

pith:2026:GI7BVQ7PLRGLATUVZBCP7ADWI7

not attested not anchored not stored refs pending

Neural operator-based digital twins for modeling amyloid-$\beta$ and tau propagation and treatment optimization in Alzheimer's disease

Bin Li, Guorong Wu, Tingting Dan, Wenrui Hao, Xiaofeng Xu, Zifan Zhou

arxiv:2606.25185 v1 · 2026-06-23 · cs.LG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GI7BVQ7PLRGLATUVZBCP7ADWI7}

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	2026-06-25T00:18:20.289735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323e1ac3ef5c4cb04e95c844ff807647e7ce5726bee1a331229763cafe1d1b64

Aliases

arxiv: 2606.25185 · arxiv_version: 2606.25185v1 · doi: 10.48550/arxiv.2606.25185 · pith_short_12: GI7BVQ7PLRGL · pith_short_16: GI7BVQ7PLRGLATUV · pith_short_8: GI7BVQ7P

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/GI7BVQ7PLRGLATUVZBCP7ADWI7 \
  | 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: 323e1ac3ef5c4cb04e95c844ff807647e7ce5726bee1a331229763cafe1d1b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63607da9c0bf5c47ca4794b10ff098bd1b7818933d0093933af090534013af34",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-23T21:23:49Z",
    "title_canon_sha256": "9516c1c7dc41804f2e33986c752ad42bb8d584f9a0a16786fcfc1b5a8791fef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25185",
    "kind": "arxiv",
    "version": 1
  }
}