Pith Number

pith:7RH4QSP7

pith:2022:7RH4QSP7UW2FR3NPILVNQUKO3C

not attested not anchored not stored refs pending

Optimizing a DIscrete Loss (ODIL) to solve forward and inverse problems for partial differential equations using machine learning tools

Petr Karnakov, Petros Koumoutsakos, Sergey Litvinov

arxiv:2205.04611 v1 · 2022-05-10 · math.NA · cs.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{7RH4QSP7UW2FR3NPILVNQUKO3C}

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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	2026-07-05T07:35:34.303406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4fc849ffa5b458edaf42ead8514ed8888a93512b433e97e6347ecd1a660950

Aliases

arxiv: 2205.04611 · arxiv_version: 2205.04611v1 · doi: 10.48550/arxiv.2205.04611 · pith_short_12: 7RH4QSP7UW2F · pith_short_16: 7RH4QSP7UW2FR3NP · pith_short_8: 7RH4QSP7

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/7RH4QSP7UW2FR3NPILVNQUKO3C \
  | 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: fc4fc849ffa5b458edaf42ead8514ed8888a93512b433e97e6347ecd1a660950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4b0f436ea39c3eee6a4501da8beba124181467aa2c2d450926628fa1b026c1",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-05-10T01:08:17Z",
    "title_canon_sha256": "0b6ddf88720589ed47e6b3bf4c9c3810a36ca9b41dca5574b2b9a7810d4f8976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.04611",
    "kind": "arxiv",
    "version": 1
  }
}