Pith Number

pith:HM7AEPVP

pith:2026:HM7AEPVPGFRNFJMOB5RQPAJIG6

not attested not anchored not stored refs pending

Derivative Computation in PINNs: Automatic Differentiation, Finite Differences and Beyond

Maciej J. Mikulski, Tadeusz Uhl

arxiv:2608.11020 v1 · 2026-08-11 · 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{HM7AEPVPGFRNFJMOB5RQPAJIG6}

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	2026-08-12T01:24:05.094847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3e023eaf3162d2a58e0f6307812837b9938ad4e6c44c76154665824ca1b5f8

Aliases

arxiv: 2608.11020 · arxiv_version: 2608.11020v1 · doi: 10.48550/arxiv.2608.11020 · pith_short_12: HM7AEPVPGFRN · pith_short_16: HM7AEPVPGFRNFJMO · pith_short_8: HM7AEPVP

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/HM7AEPVPGFRNFJMOB5RQPAJIG6 \
  | 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: 3b3e023eaf3162d2a58e0f6307812837b9938ad4e6c44c76154665824ca1b5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b016e3cc3a72144c25251c45abdae47b50a0f742711c68f9f119f6fdf8d8f5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-11T15:01:29Z",
    "title_canon_sha256": "e44c18115bd16b6b66f4260de417de45b5376f09432de12406536b94ec664865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11020",
    "kind": "arxiv",
    "version": 1
  }
}