Pith Number

pith:ZNR2YUTK

pith:2018:ZNR2YUTKGVFBUQM4D54T3AEHPK

not attested not anchored not stored refs pending

Generalized Low-Rank Optimization for Topological Cooperation in Ultra-Dense Networks

Kai Yang, Yuanming Shi, Zhi Ding

arxiv:1809.08537 v2 · 2018-09-23 · 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{ZNR2YUTKGVFBUQM4D54T3AEHPK}

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	2026-05-18T00:04:54.262189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb63ac526a354a1a419c1f793d80877a8e3222f29fbda05b0b8485f7d3bdf1bd

Aliases

arxiv: 1809.08537 · arxiv_version: 1809.08537v2 · doi: 10.48550/arxiv.1809.08537 · pith_short_12: ZNR2YUTKGVFB · pith_short_16: ZNR2YUTKGVFBUQM4 · pith_short_8: ZNR2YUTK

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/ZNR2YUTKGVFBUQM4D54T3AEHPK \
  | 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: cb63ac526a354a1a419c1f793d80877a8e3222f29fbda05b0b8485f7d3bdf1bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57228dbec2db98beb9cd931a30e875587d9444fc68155143070f76d29704bca8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-09-23T05:37:30Z",
    "title_canon_sha256": "ccc974ce48b044c20913e2f2f521f0e770f5a7dffda80eb1adfc2f67cf5a07ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08537",
    "kind": "arxiv",
    "version": 2
  }
}