Pith Number

pith:N7HH3PBU

pith:2018:N7HH3PBU2ZMH733TMESHIRLAZ3

not attested not anchored not stored refs pending

Multigrid Optimization for Large-Scale Ptychographic Phase Retrieval

Samy Wu Fung, Zichao Di

arxiv:1810.05628 v3 · 2018-10-12 · math.NA · 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{N7HH3PBU2ZMH733TMESHIRLAZ3}

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	2026-05-17T23:53:41.826720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fce7dbc34d6587fef736124744560cee1698f782a32bb47b1929c9a04a88814

Aliases

arxiv: 1810.05628 · arxiv_version: 1810.05628v3 · doi: 10.48550/arxiv.1810.05628 · pith_short_12: N7HH3PBU2ZMH · pith_short_16: N7HH3PBU2ZMH733T · pith_short_8: N7HH3PBU

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/N7HH3PBU2ZMH733TMESHIRLAZ3 \
  | 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: 6fce7dbc34d6587fef736124744560cee1698f782a32bb47b1929c9a04a88814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f26470ed06068704d6480cd147af40fc01a5f2b8988a9f6a1871a98b60e3b6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-10-12T17:50:04Z",
    "title_canon_sha256": "8446b713fdc997594d3fdb1969e61204a45e785820e8e549acb4f0feafddc219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05628",
    "kind": "arxiv",
    "version": 3
  }
}