Pith Number

pith:MM2I2S6X

pith:2026:MM2I2S6XNNO6JR7QTOWH5XYGFL

not attested not anchored not stored refs pending

A Unified Graph Neural Network Framework for Non-Equilibrium Carrier and Lattice Dynamics Driven by Electric Fields

Jia-Wen Li, Jin Zhang, Sheng Meng, Wei-Hai Fang, Xinghua Shi

arxiv:2608.03287 v1 · 2026-08-04 · 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{MM2I2S6XNNO6JR7QTOWH5XYGFL}

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	2026-08-05T00:46:39.856723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63348d4bd76b5de4c7f09bac7edf062afbb2534c3d1a027a85aa9b0114b20cbf

Aliases

arxiv: 2608.03287 · arxiv_version: 2608.03287v1 · doi: 10.48550/arxiv.2608.03287 · pith_short_12: MM2I2S6XNNO6 · pith_short_16: MM2I2S6XNNO6JR7Q · pith_short_8: MM2I2S6X

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/MM2I2S6XNNO6JR7QTOWH5XYGFL \
  | 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: 63348d4bd76b5de4c7f09bac7edf062afbb2534c3d1a027a85aa9b0114b20cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280857e3ffc8bfbc192d7170c57917cb7d8da01f9568d0114e70ae29440fe3cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-08-04T08:01:12Z",
    "title_canon_sha256": "6a64e45998694df1cb58d5aaf814c363bbc81dd900a495435939510104308a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03287",
    "kind": "arxiv",
    "version": 1
  }
}