Pith Number

pith:EF7QLC3F

pith:2026:EF7QLC3FBB4DEA4JBFDB2AIUU3

not attested not anchored not stored refs pending

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media

Jie Chen, Peiqi Li, Shubin Fu

arxiv:2606.02582 v1 · 2026-04-15 · cs.CE · cs.LG · cs.NA · math.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{EF7QLC3FBB4DEA4JBFDB2AIUU3}

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	2026-06-03T00:05:03.735865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217f058b65087832038909461d0114a6f43f31ce5328325435395f8670106008

Aliases

arxiv: 2606.02582 · arxiv_version: 2606.02582v1 · doi: 10.48550/arxiv.2606.02582 · pith_short_12: EF7QLC3FBB4D · pith_short_16: EF7QLC3FBB4DEA4J · pith_short_8: EF7QLC3F

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/EF7QLC3FBB4DEA4JBFDB2AIUU3 \
  | 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: 217f058b65087832038909461d0114a6f43f31ce5328325435395f8670106008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4029e7d9298c661a3b4d1b2b741d1d682e9502792a1843c817742d2da3aff8bd",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-04-15T10:36:55Z",
    "title_canon_sha256": "2f71604e74673e7b1da42e58875b346aaee9a4d222f5699c04d27bc172d6f94a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02582",
    "kind": "arxiv",
    "version": 1
  }
}