Pith Number

pith:ZYB6PNZB

pith:2023:ZYB6PNZBM5OMZJWWHSZT7IVVET

not attested not anchored not stored refs pending

Deep Equilibrium Based Neural Operators for Steady-State PDEs

Andrej Risteski, Ashwini Pokle, Jianfeng Lu, J. Zico Kolter, Tanya Marwah, Zachary C. Lipton

arxiv:2312.00234 v1 · 2023-11-30 · cs.LG · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYB6PNZBM5OMZJWWHSZT7IVVET}

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	2026-07-05T07:19:06.200911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce03e7b721675ccca6d63cb33fa2b524eda4604f31abbd1f0a31e4049db02563

Aliases

arxiv: 2312.00234 · arxiv_version: 2312.00234v1 · doi: 10.48550/arxiv.2312.00234 · pith_short_12: ZYB6PNZBM5OM · pith_short_16: ZYB6PNZBM5OMZJWW · pith_short_8: ZYB6PNZB

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/ZYB6PNZBM5OMZJWWHSZT7IVVET \
  | 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: ce03e7b721675ccca6d63cb33fa2b524eda4604f31abbd1f0a31e4049db02563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4312dfd668181f5b570587c56b1651b3ec42d42db49b753570067308467d29c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-30T22:34:57Z",
    "title_canon_sha256": "75e493ed2ca2f990e5e0b0e0ddbc78514331119ad03b8326b5be57d39bdee9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.00234",
    "kind": "arxiv",
    "version": 1
  }
}