Pith Number

pith:TGGJ3ZS5

pith:2013:TGGJ3ZS5YGEE6D5F4TJDHGE46Q

not attested not anchored not stored refs pending

A soothing invisible hand: moderation potentials in optimal control

Debra Lewis

arxiv:1307.7395 v1 · 2013-07-28 · 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{TGGJ3ZS5YGEE6D5F4TJDHGE46Q}

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	2026-05-18T03:17:23.407708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998c9de65dc1884f0fa5e4d233989cf41ae0606f76e2ac28923f8a46181155f1

Aliases

arxiv: 1307.7395 · arxiv_version: 1307.7395v1 · doi: 10.48550/arxiv.1307.7395 · pith_short_12: TGGJ3ZS5YGEE · pith_short_16: TGGJ3ZS5YGEE6D5F · pith_short_8: TGGJ3ZS5

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/TGGJ3ZS5YGEE6D5F4TJDHGE46Q \
  | 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: 998c9de65dc1884f0fa5e4d233989cf41ae0606f76e2ac28923f8a46181155f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a39b3d42ddf616656b4282467f34643e7ba18ac1dd25b9abe5e8b9db28d463",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-28T19:49:32Z",
    "title_canon_sha256": "73efffd44d2350d40b46867f04e7cf0a88843fbd8f1e0e58ee03447840f484ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7395",
    "kind": "arxiv",
    "version": 1
  }
}