Pith Number

pith:PFIA7MKS

pith:2025:PFIA7MKS46ULZZBXH65NIOULK4

not attested not anchored not stored refs pending

Phase retrieval via overparametrized nonconvex optimization: nonsmooth amplitude loss landscapes

Andrew D. McRae

arxiv:2511.19045 v2 · 2025-11-24 · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFIA7MKS46ULZZBXH65NIOULK4}

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	2026-06-30T02:17:11.843737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79500fb152e7a8bce4373fbad43a8b5716865a202dea6504d52c38b457d05e82

Aliases

arxiv: 2511.19045 · arxiv_version: 2511.19045v2 · doi: 10.48550/arxiv.2511.19045 · pith_short_12: PFIA7MKS46UL · pith_short_16: PFIA7MKS46ULZZBX · pith_short_8: PFIA7MKS

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/PFIA7MKS46ULZZBXH65NIOULK4 \
  | 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: 79500fb152e7a8bce4373fbad43a8b5716865a202dea6504d52c38b457d05e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7605ccd9b0af4996d1ffe7463c102685bf67d2cfad30a965b3981ad5e313f161",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-24T12:33:01Z",
    "title_canon_sha256": "abba7dd1c49960d398947dc2f73d861fd5e71752a0dfe76cac6e99d470659590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.19045",
    "kind": "arxiv",
    "version": 2
  }
}