Pith Number

pith:2JOLVVEQ

pith:2026:2JOLVVEQVAF5NSQNYTR7YSU2HU

not attested not anchored not stored refs pending

A Residual-Subspace Constraint Framework for Fourier Ptychographic Microscopy

Chang-tao Cai, Rui Chen, Si-yi Xie, Sui-peng Wang, Zhun Wei

arxiv:2605.22197 v1 · 2026-05-21 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JOLVVEQVAF5NSQNYTR7YSU2HU}

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	2026-05-22T01:04:31.379021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25cbad490a80bd6ca0dc4e3fc4a9a3d10616027cea42197b4af1cbfb90afa7b

Aliases

arxiv: 2605.22197 · arxiv_version: 2605.22197v1 · doi: 10.48550/arxiv.2605.22197 · pith_short_12: 2JOLVVEQVAF5 · pith_short_16: 2JOLVVEQVAF5NSQN · pith_short_8: 2JOLVVEQ

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/2JOLVVEQVAF5NSQNYTR7YSU2HU \
  | 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: d25cbad490a80bd6ca0dc4e3fc4a9a3d10616027cea42197b4af1cbfb90afa7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26402c0828b683b03dfa520e9ba2d8f19c8b33084613043ba51d776ab65488eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-21T09:01:42Z",
    "title_canon_sha256": "313b13d6c36ebf5777a144b4e868e1d9a926afb0c49ab70f41ad984420da695e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22197",
    "kind": "arxiv",
    "version": 1
  }
}