Pith Number

pith:D4QK6FT5

pith:2019:D4QK6FT5ZGMHCJT74E7HHXLRS5

not attested not anchored not stored refs pending

Optimization of convergence rate via algebraic connectivity

Zhidong He

arxiv:1912.06536 v1 · 2019-12-13 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4QK6FT5ZGMHCJT74E7HHXLRS5}

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	2026-07-05T00:26:01.943963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f20af167dc99871267fe13e73dd719763916211153f629a7bc3182dbf9d2d9c

Aliases

arxiv: 1912.06536 · arxiv_version: 1912.06536v1 · doi: 10.48550/arxiv.1912.06536 · pith_short_12: D4QK6FT5ZGMH · pith_short_16: D4QK6FT5ZGMHCJT7 · pith_short_8: D4QK6FT5

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/D4QK6FT5ZGMHCJT74E7HHXLRS5 \
  | 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: 1f20af167dc99871267fe13e73dd719763916211153f629a7bc3182dbf9d2d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aaac7722947b77d9ea1490f434721bae201ed211651f0b6973de70369fbdace",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-13T14:40:34Z",
    "title_canon_sha256": "a0f9aff2cf440cfbf972ad4c2ba32346650f0b218703524b1c2bc417749f034e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06536",
    "kind": "arxiv",
    "version": 1
  }
}