Pith Number

pith:EC2TXTPC

pith:2018:EC2TXTPCPGLYLI3NLO64DSN3ET

not attested not anchored not stored refs pending

Optimal Weight Allocation of Dynamic Distribution Networks and Positive Semi-definiteness of Signed Laplacians

Alexander Johansson, Henrik Sandberg, Jie Chen, Jieqiang Wei, Karl H. Johansson

arxiv:1803.05640 v2 · 2018-03-15 · 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{EC2TXTPCPGLYLI3NLO64DSN3ET}

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	2026-05-18T00:16:59.014194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b53bcde2799785a36d5bbdc1c9bb24fffcec1bb0b3d0447f6149de71061437

Aliases

arxiv: 1803.05640 · arxiv_version: 1803.05640v2 · doi: 10.48550/arxiv.1803.05640 · pith_short_12: EC2TXTPCPGLY · pith_short_16: EC2TXTPCPGLYLI3N · pith_short_8: EC2TXTPC

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/EC2TXTPCPGLYLI3NLO64DSN3ET \
  | 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: 20b53bcde2799785a36d5bbdc1c9bb24fffcec1bb0b3d0447f6149de71061437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b92824f10128dd427cf32a5d1f1e31b008a233eea1ca93eb5cc752a1b330f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-15T08:52:00Z",
    "title_canon_sha256": "88ef2fc421cd45409d407a8aab9415a7cbe497d69a839be1a5c2d4ec0bd2fe51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05640",
    "kind": "arxiv",
    "version": 2
  }
}