Pith Number

pith:3IOY2REO

pith:2016:3IOY2REODY6NWLBCDNVVX4BFLU

not attested not anchored not stored refs pending

Numerical Optimization Algorithm of Wavefront Phase Retrieval from Multiple Measurements

Ji Li, Tie Zhou

arxiv:1607.01861 v1 · 2016-07-07 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IOY2REODY6NWLBCDNVVX4BFLU}

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	2026-05-18T01:11:23.124792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da1d8d448e1e3cdb2c221b6b5bf0255d075e59ab54e9cef08aab0f51dc1a60f1

Aliases

arxiv: 1607.01861 · arxiv_version: 1607.01861v1 · doi: 10.48550/arxiv.1607.01861 · pith_short_12: 3IOY2REODY6N · pith_short_16: 3IOY2REODY6NWLBC · pith_short_8: 3IOY2REO

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/3IOY2REODY6NWLBCDNVVX4BFLU \
  | 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: da1d8d448e1e3cdb2c221b6b5bf0255d075e59ab54e9cef08aab0f51dc1a60f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3117b9bcd307b628f770c076575173129cf22a59ef6a4e66f50f816246bb713",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-07T02:43:16Z",
    "title_canon_sha256": "d7b8c7c65ecd5365da8d1fc5cfa3a09c3f326bbd1406d1e63d8aa0899353a0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01861",
    "kind": "arxiv",
    "version": 1
  }
}