Pith Number

pith:HANIKNNU

pith:2016:HANIKNNUASBWAPXY2HJNXT4NWB

not attested not anchored not stored refs pending

Distributed Stochastic Optimization for Weakly Coupled Systems with Applications to Wireless Communications

An Liu, Fan Zhang, Vincent K. N. Lau, Ying Cui

arxiv:1606.07606 v1 · 2016-06-24 · cs.IT · 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{HANIKNNUASBWAPXY2HJNXT4NWB}

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	2026-05-18T01:11:57.147438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381a8535b40483603ef8d1d2dbcf8db04a14ae84d2cde2546310ca162886a5c3

Aliases

arxiv: 1606.07606 · arxiv_version: 1606.07606v1 · doi: 10.48550/arxiv.1606.07606 · pith_short_12: HANIKNNUASBW · pith_short_16: HANIKNNUASBWAPXY · pith_short_8: HANIKNNU

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/HANIKNNUASBWAPXY2HJNXT4NWB \
  | 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: 381a8535b40483603ef8d1d2dbcf8db04a14ae84d2cde2546310ca162886a5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4392cacbe6b458731a75ea6e17cc7784b4114eeea032d67ec64bb37e1e48706",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-24T08:37:20Z",
    "title_canon_sha256": "099e54dca8c2ff0ed01bc3898b3da7c947c91217ad4e467403daacf24367e48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07606",
    "kind": "arxiv",
    "version": 1
  }
}