Pith Number

pith:PLFHY4ZQ

pith:2024:PLFHY4ZQHDL5ZDE7F37PGYS4CD

not attested not anchored not stored refs pending

Improving the Robustness of the Projected Gradient Descent Method for Nonlinear Constrained Optimization Problems in Topology Optimization

Florin Ilinca, Lucka Barbeau, Marc-\'Etienne Lamarche-Gagnon

arxiv:2412.07634 v1 · 2024-12-10 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLFHY4ZQHDL5ZDE7F37PGYS4CD}

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	2026-07-05T11:22:34.707252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aca7c733038d7dc8c9f2efef3625c10db13bce7376a047a69e28815aa70f2e0

Aliases

arxiv: 2412.07634 · arxiv_version: 2412.07634v1 · doi: 10.48550/arxiv.2412.07634 · pith_short_12: PLFHY4ZQHDL5 · pith_short_16: PLFHY4ZQHDL5ZDE7 · pith_short_8: PLFHY4ZQ

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/PLFHY4ZQHDL5ZDE7F37PGYS4CD \
  | 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: 7aca7c733038d7dc8c9f2efef3625c10db13bce7376a047a69e28815aa70f2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c104bf1d31db8f2963c14d4a856afc0aa735c33c5cb8df7c63a854bfef8c107d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-10T16:13:59Z",
    "title_canon_sha256": "6f05d516b22a95b1d270ea9b90d0b6069494d0f7091a5539f84fdd5627309f9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07634",
    "kind": "arxiv",
    "version": 1
  }
}