Pith Number

pith:73TRJ7ZD

pith:2014:73TRJ7ZDC3M6SFT7MPQOTFBHSO

not attested not anchored not stored refs pending

Topology Design for Optimal Network Coherence

Florian D\"orfler, Iman Shames, John Lygeros, Tyler Summers

arxiv:1411.4884 v1 · 2014-11-18 · math.OC · cs.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{73TRJ7ZDC3M6SFT7MPQOTFBHSO}

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	2026-05-18T02:34:51.042197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee714ff2316d9e9167f63e0e9942793b734011ce94d3ade7cf9cc920f306467

Aliases

arxiv: 1411.4884 · arxiv_version: 1411.4884v1 · doi: 10.48550/arxiv.1411.4884 · pith_short_12: 73TRJ7ZDC3M6 · pith_short_16: 73TRJ7ZDC3M6SFT7 · pith_short_8: 73TRJ7ZD

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/73TRJ7ZDC3M6SFT7MPQOTFBHSO \
  | 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: fee714ff2316d9e9167f63e0e9942793b734011ce94d3ade7cf9cc920f306467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4fb6019c22154b5d838ecab8666c045d04f97529a224c69066927693778329",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-11-18T15:52:17Z",
    "title_canon_sha256": "d45ec876eb70540a8781ddceeba61cc6af66453157cae4451c5ad15a4a2868e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4884",
    "kind": "arxiv",
    "version": 1
  }
}