Pith Number

pith:BG7PMI7R

pith:2025:BG7PMI7RAQQ5POGV4MCGWXGMYL

not attested not anchored not stored refs pending

Phase retrieval with rank $d$ measurements -- \emph{descending} algorithms phase transitions

Mihailo Stojnic

arxiv:2506.18282 v1 · 2025-06-23 · stat.ML · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG7PMI7RAQQ5POGV4MCGWXGMYL}

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	2026-07-05T11:25:47.888527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09bef623f10421d7b8d5e3046b5cccc2e01ce9b75749a087eef47e01170b4a64

Aliases

arxiv: 2506.18282 · arxiv_version: 2506.18282v1 · doi: 10.48550/arxiv.2506.18282 · pith_short_12: BG7PMI7RAQQ5 · pith_short_16: BG7PMI7RAQQ5POGV · pith_short_8: BG7PMI7R

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/BG7PMI7RAQQ5POGV4MCGWXGMYL \
  | 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: 09bef623f10421d7b8d5e3046b5cccc2e01ce9b75749a087eef47e01170b4a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0737b264c3c793556462c1ee691fda37fb89302efb4abb13bd3e07d9d19d992e",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-06-23T04:28:46Z",
    "title_canon_sha256": "6b38b3a5bb43eb8a7023dfb76bdd6d5f003fe9c29f71c71d15e84f5a5e12a128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18282",
    "kind": "arxiv",
    "version": 1
  }
}