Pith Number

pith:F3F5DHTF

pith:2015:F3F5DHTFR76CEALZE3Q3E52S2I

not attested not anchored not stored refs pending

Eigenvalue Clustering, Control Energy, and Logarithmic Capacity

Alex Olshevsky

arxiv:1511.00205 v3 · 2015-11-01 · 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{F3F5DHTFR76CEALZE3Q3E52S2I}

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	2026-05-18T01:16:24.678201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ecbd19e658ffc22017926e1b27752d22f1aaac95c56b50013931f0dc713d0fc

Aliases

arxiv: 1511.00205 · arxiv_version: 1511.00205v3 · doi: 10.48550/arxiv.1511.00205 · pith_short_12: F3F5DHTFR76C · pith_short_16: F3F5DHTFR76CEALZ · pith_short_8: F3F5DHTF

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/F3F5DHTFR76CEALZE3Q3E52S2I \
  | 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: 2ecbd19e658ffc22017926e1b27752d22f1aaac95c56b50013931f0dc713d0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e58f4088ca8ce12012a06f4ecf61e5ffc80fc4e862ca307bdace61bd0ecffa",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-01T03:14:55Z",
    "title_canon_sha256": "42bdc23de662bc94f16160510722ef3fa6fc830914711c3ed943ba2da285c2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00205",
    "kind": "arxiv",
    "version": 3
  }
}