Pith Number

pith:JTEU6TQ2

pith:2026:JTEU6TQ2TMOAQUOF7MCP352P5S

not attested not anchored not stored refs pending

The Informational Cost of Agency: A Bounded Measure of Interaction Efficiency for Deployed Reinforcement Learning

Amit Nazeri, Cameron Reid, Wael Hafez

Bipredictability measures closed-loop efficiency in deployed RL agents with a universal upper bound of 0.5 that drops when agency is present.

arxiv:2603.01283 v3 · 2026-03-01 · cs.AI · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTEU6TQ2TMOAQUOF7MCP352P5S}

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.

Claims

C1strongest claim

A theoretical property is a provable classical upper bound P is less than or equal to 0.5, independent of domain, task, or agent, a structural consequence of Shannon entropy rather than an empirical observation. When agency is present, a penalty suppresses P strictly below this ceiling, confirmed at P equals 0.33 across trained agents.

C2weakest assumption

That uncertainty resolution across the observation-action-outcome loop is the fundamental quantity that must be maintained for reliable deployed performance, and that this can be computed from the observable stream alone without reference to internal model states.

C3one line summary

Bipredictability P measures shared predictability in RL interaction loops with a universal upper bound of 0.5 that agency suppresses to 0.33, operationalized via an Information Digital Twin for faster detection of coupling degradation than reward metrics.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:35.458839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc94f4e1a9b1c0851c5fb04fdf74fecb54ed856419dccd7f7921ee4ed89a8f5

Aliases

arxiv: 2603.01283 · arxiv_version: 2603.01283v3 · doi: 10.48550/arxiv.2603.01283 · pith_short_12: JTEU6TQ2TMOA · pith_short_16: JTEU6TQ2TMOAQUOF · pith_short_8: JTEU6TQ2

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/JTEU6TQ2TMOAQUOF7MCP352P5S \
  | 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: 4cc94f4e1a9b1c0851c5fb04fdf74fecb54ed856419dccd7f7921ee4ed89a8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1266abe030f097698f9ce0b411e09d18da645af718424ac0945eaa999ac297f8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-03-01T21:38:39Z",
    "title_canon_sha256": "93e03bd9ae15288aea6892bbc86f42996941f26a87ac695acbe48d64997a0756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.01283",
    "kind": "arxiv",
    "version": 3
  }
}