Pith Number

pith:I3G27E5V

pith:2019:I3G27E5VTW54BKIOMFZUXERV2Q

not attested not anchored not stored refs pending

On Separating Points for Ensemble Controllability

Jr-Shin Li, Lin Tie, Wei Zhang

arxiv:1908.05323 v1 · 2019-08-14 · 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{I3G27E5VTW54BKIOMFZUXERV2Q}

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	2026-07-04T23:56:50.132855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46cdaf93b59dbbc0a90e61734b9235d429749649fbeb6efa92047151349706a7

Aliases

arxiv: 1908.05323 · arxiv_version: 1908.05323v1 · doi: 10.48550/arxiv.1908.05323 · pith_short_12: I3G27E5VTW54 · pith_short_16: I3G27E5VTW54BKIO · pith_short_8: I3G27E5V

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/I3G27E5VTW54BKIOMFZUXERV2Q \
  | 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: 46cdaf93b59dbbc0a90e61734b9235d429749649fbeb6efa92047151349706a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "effb7bdbb4fdae7ff9d46a1b168b40c8997a658713b73523bf7b4633fa58d57d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-14T19:32:48Z",
    "title_canon_sha256": "74e0937b1eeb15426db0bc411343e7a4111e0c19f1ed615db58ed477f301c7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05323",
    "kind": "arxiv",
    "version": 1
  }
}