Pith Number

pith:HNG6TZQU

pith:2024:HNG6TZQU2MBU3N3EAORAL62VJO

not attested not anchored not stored refs pending

Operator learning regularization for macroscopic permeability prediction in dual-scale flow problem

Christina Runkel, Nicolas Boull\'e, Sinan Xiao, Yang Chen

arxiv:2412.00579 v1 · 2024-11-30 · physics.flu-dyn · cs.LG · cs.NA · math.NA · 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{HNG6TZQU2MBU3N3EAORAL62VJO}

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	2026-07-05T09:42:43.928131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b4de9e614d3034db76403a205fb554b82f6cad970ab344a6463a55a9047195a

Aliases

arxiv: 2412.00579 · arxiv_version: 2412.00579v1 · doi: 10.48550/arxiv.2412.00579 · pith_short_12: HNG6TZQU2MBU · pith_short_16: HNG6TZQU2MBU3N3E · pith_short_8: HNG6TZQU

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/HNG6TZQU2MBU3N3EAORAL62VJO \
  | 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: 3b4de9e614d3034db76403a205fb554b82f6cad970ab344a6463a55a9047195a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331aa528bd425dfa813f8288c40a2d31f9d09c5f7bc93dabf8d4ce981910c36d",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2024-11-30T20:37:05Z",
    "title_canon_sha256": "ae63b30e43fbf3d4b4c11a19d3ac5137c551ee755c239c2dabb47aa90cdaa0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00579",
    "kind": "arxiv",
    "version": 1
  }
}