Pith Number

pith:2XMX6JXI

pith:2018:2XMX6JXIAYAIFPDHUTY7Y7MB2Y

not attested not anchored not stored refs pending

Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval

Hongkai Zhao, Jian-Feng Cai, Ji Li

arxiv:1807.05499 v3 · 2018-07-15 · 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{2XMX6JXIAYAIFPDHUTY7Y7MB2Y}

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	2026-05-17T23:45:09.755419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d97f26e8060082bc67a4f1fc7d81d61aacf837e337e1604b502d296699f7ae

Aliases

arxiv: 1807.05499 · arxiv_version: 1807.05499v3 · doi: 10.48550/arxiv.1807.05499 · pith_short_12: 2XMX6JXIAYAI · pith_short_16: 2XMX6JXIAYAIFPDH · pith_short_8: 2XMX6JXI

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/2XMX6JXIAYAIFPDHUTY7Y7MB2Y \
  | 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: d5d97f26e8060082bc67a4f1fc7d81d61aacf837e337e1604b502d296699f7ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b50dd6cb161e9bac2025da1f353deff5067d379eda594e91c5c14d88d1f9ee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-15T06:57:06Z",
    "title_canon_sha256": "1d250d117871806d10ed9b5616ad3385b3dbc278a4fbc10e61170872d78d7878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05499",
    "kind": "arxiv",
    "version": 3
  }
}