Pith Number

pith:G52AZY2O

pith:2026:G52AZY2ONNOVZTCAHA6UHN2XQV

not attested not anchored not stored refs pending

Differentiate the Solver, Not the Equation: Reverse-Sweep Adjoints for Block Implicit Simulation

Chenfanfu Jiang, Kui Wu, Lei Shu, Leonidas Guibas, Ying Jiang, Yin Yang

arxiv:2608.08559 v1 · 2026-08-09 · cs.GR · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G52AZY2ONNOVZTCAHA6UHN2XQV}

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	2026-08-11T01:22:58.962275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37740ce34e6b5d5ccc40383d43b757857629a0038455b60eb8e2c2dd2f43e95c

Aliases

arxiv: 2608.08559 · arxiv_version: 2608.08559v1 · doi: 10.48550/arxiv.2608.08559 · pith_short_12: G52AZY2ONNOV · pith_short_16: G52AZY2ONNOVZTCA · pith_short_8: G52AZY2O

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/G52AZY2ONNOVZTCAHA6UHN2XQV \
  | 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: 37740ce34e6b5d5ccc40383d43b757857629a0038455b60eb8e2c2dd2f43e95c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28820d113f744318ef152e310a759abdc57b06f08571e2797ef9daa8bb31fd8",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2026-08-09T08:03:02Z",
    "title_canon_sha256": "c5037c16990c72a02c3341610005ba669ec891747017ade04fe7ba6f1b9171a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08559",
    "kind": "arxiv",
    "version": 1
  }
}