Pith Number

pith:HB4MZRMM

pith:2024:HB4MZRMM4UOZVF4YBZZBH5VGG6

not attested not anchored not stored refs pending

PICL: Physics Informed Contrastive Learning for Partial Differential Equations

Amir Barati Farimani, Cooper Lorsung

arxiv:2401.16327 v4 · 2024-01-29 · 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{HB4MZRMM4UOZVF4YBZZBH5VGG6}

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	2026-07-05T09:11:12.806592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3878ccc58ce51d9a97980e7213f6a637864b73246ed7701ccd869362f70f444c

Aliases

arxiv: 2401.16327 · arxiv_version: 2401.16327v4 · doi: 10.48550/arxiv.2401.16327 · pith_short_12: HB4MZRMM4UOZ · pith_short_16: HB4MZRMM4UOZVF4Y · pith_short_8: HB4MZRMM

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/HB4MZRMM4UOZVF4YBZZBH5VGG6 \
  | 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: 3878ccc58ce51d9a97980e7213f6a637864b73246ed7701ccd869362f70f444c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0458e1a349e62bbacbdd4b02f6c8f1589b98c630a7d3b168fd3c81beb2b38094",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-01-29T17:32:22Z",
    "title_canon_sha256": "f92a740c8587edc56b5500cdf9e0dfcfe8f1e5ec556557cfedf43446f2655c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.16327",
    "kind": "arxiv",
    "version": 4
  }
}