Pith Number

pith:U2C7UPJX

pith:2025:U2C7UPJXK6HIFQFD3YPJCOX4W6

not attested not anchored not stored refs pending

Implicit differentiation with second-order derivatives and benchmarks in finite-element-based differentiable physics

Tianju Xue

arxiv:2505.12646 v1 · 2025-05-19 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2C7UPJXK6HIFQFD3YPJCOX4W6}

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	2026-07-05T11:05:07.548601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a685fa3d37578e82c0a3de1e913afcb7b543527051d6b7fe9ff6f78f7efde099

Aliases

arxiv: 2505.12646 · arxiv_version: 2505.12646v1 · doi: 10.48550/arxiv.2505.12646 · pith_short_12: U2C7UPJXK6HI · pith_short_16: U2C7UPJXK6HIFQFD · pith_short_8: U2C7UPJX

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/U2C7UPJXK6HIFQFD3YPJCOX4W6 \
  | 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: a685fa3d37578e82c0a3de1e913afcb7b543527051d6b7fe9ff6f78f7efde099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf961da673243a2287ad1274993933414eb5c53022c150143a719853d4e18787",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2025-05-19T02:59:26Z",
    "title_canon_sha256": "9c342235952ad23c1385f5fe643e962f720087bbfff30567698feaa8a0c85ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12646",
    "kind": "arxiv",
    "version": 1
  }
}