Pith Number

pith:C7LLOCFW

pith:2019:C7LLOCFWGKVOAVK5ZMOU5AGVEJ

not attested not anchored not stored refs pending

On the Optimal Control of Relaxation Systems

Anders Rantzer, Carolina Bergeling, Richard Pates

arxiv:1909.07219 v1 · 2019-09-16 · 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{C7LLOCFWGKVOAVK5ZMOU5AGVEJ}

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	2026-07-05T00:04:54.077355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d6b708b632aae0555dcb1d4e80d5224a4bf323b7594cac796b3827a8f973f0

Aliases

arxiv: 1909.07219 · arxiv_version: 1909.07219v1 · doi: 10.48550/arxiv.1909.07219 · pith_short_12: C7LLOCFWGKVO · pith_short_16: C7LLOCFWGKVOAVK5 · pith_short_8: C7LLOCFW

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/C7LLOCFWGKVOAVK5ZMOU5AGVEJ \
  | 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: 17d6b708b632aae0555dcb1d4e80d5224a4bf323b7594cac796b3827a8f973f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf03a72f561abd0726f49e13cca5cad9be2a55e9fccbaf98a301c27e9db40bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-09-16T14:11:25Z",
    "title_canon_sha256": "c67e44d6ca3c05fff08411b8561a5ec76ba5fef697106e651db74f09256df658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07219",
    "kind": "arxiv",
    "version": 1
  }
}