Pith Number

pith:JWK3M4DH

pith:2019:JWK3M4DHZU5TOZZ5CA6TRJQBVD

not attested not anchored not stored refs pending

The Silver Ratio and its Relation to Controllability

Michael Muehlebach

arxiv:1908.07109 v1 · 2019-08-19 · eess.SY · 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{JWK3M4DHZU5TOZZ5CA6TRJQBVD}

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	2026-07-04T23:58:30.926564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d95b67067cd3b37673d103d38a601a8cef5d35a9f56b9577f04884c9b3e6d7e

Aliases

arxiv: 1908.07109 · arxiv_version: 1908.07109v1 · doi: 10.48550/arxiv.1908.07109 · pith_short_12: JWK3M4DHZU5T · pith_short_16: JWK3M4DHZU5TOZZ5 · pith_short_8: JWK3M4DH

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/JWK3M4DHZU5TOZZ5CA6TRJQBVD \
  | 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: 4d95b67067cd3b37673d103d38a601a8cef5d35a9f56b9577f04884c9b3e6d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3174e6c03c865d55caff0e7a78cb148c494bc08a373fcb20bed006d6b098a6",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2019-08-19T23:53:29Z",
    "title_canon_sha256": "0beff8a03662080c5fc89e16cdd132abdbb8599d4c0139337519d52d99902fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07109",
    "kind": "arxiv",
    "version": 1
  }
}