Pith Number

pith:QPCZ7ZL4

pith:2025:QPCZ7ZL4X32AVAMFOLUCMQAIGP

not attested not anchored not stored refs pending

A Structured Tour of Optimization with Finite Differences

Cesare Molinari, Lorenzo Rosasco, Marco Rando, Silvia Villa

arxiv:2505.19720 v1 · 2025-05-26 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPCZ7ZL4X32AVAMFOLUCMQAIGP}

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	2026-07-05T11:09:35.182873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c59fe57cbef40a818572e826400833eb9fd8a305736482bc51ef5e3285ae36

Aliases

arxiv: 2505.19720 · arxiv_version: 2505.19720v1 · doi: 10.48550/arxiv.2505.19720 · pith_short_12: QPCZ7ZL4X32A · pith_short_16: QPCZ7ZL4X32AVAMF · pith_short_8: QPCZ7ZL4

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/QPCZ7ZL4X32AVAMFOLUCMQAIGP \
  | 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: 83c59fe57cbef40a818572e826400833eb9fd8a305736482bc51ef5e3285ae36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f7a40bff05b4a39c3a2cabea4efa63cc76eef5c8d90470bd1959fba3b6e333",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-26T09:08:46Z",
    "title_canon_sha256": "0fc6cde84fcaf47c72d59d0550a182202afa8f856bed2bdef7738a5e84b83acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19720",
    "kind": "arxiv",
    "version": 1
  }
}