Pith Number

pith:LCBD3LX4

pith:2025:LCBD3LX4R6XYOK26FFJMABHZ6H

not attested not anchored not stored refs pending

Projected proximal gradient trust-region algorithm for nonsmooth optimization

Hung M. Phan, Lindon Roberts, Minh N. Dao

arxiv:2501.04889 v1 · 2025-01-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCBD3LX4R6XYOK26FFJMABHZ6H}

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	2026-07-05T09:58:48.023653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58823daefc8faf872b5e2952c004f9f1db4ce2a28e6078ef6db60e59957e3032

Aliases

arxiv: 2501.04889 · arxiv_version: 2501.04889v1 · doi: 10.48550/arxiv.2501.04889 · pith_short_12: LCBD3LX4R6XY · pith_short_16: LCBD3LX4R6XYOK26 · pith_short_8: LCBD3LX4

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/LCBD3LX4R6XYOK26FFJMABHZ6H \
  | 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: 58823daefc8faf872b5e2952c004f9f1db4ce2a28e6078ef6db60e59957e3032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b36a2096d30169ba347623e14b8ce5ac9fad07abea4a694bca206454eb63aa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-09T00:05:31Z",
    "title_canon_sha256": "768b90a5867991aa3e9ec3c816fb717110b21df97ffb6dc208a482d1ddf6ac07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04889",
    "kind": "arxiv",
    "version": 1
  }
}