Pith Number

pith:GKQNBDK5

pith:2026:GKQNBDK55JPUUBGJCH7YG32B2X

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SVL: Goal-Conditioned Reinforcement Learning as Survival Learning

Fabian Schramm, Franki Nguimatsia Tiofack, Justin Carpentier, Th\'eotime Le Hellard

The goal-conditioned value function equals a discounted sum of survival probabilities over time.

arxiv:2604.17551 v2 · 2026-04-19 · cs.LG · cs.AI

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4 Citations open

5 Replications open

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Claims

C1strongest claim

This structured distributional Monte Carlo perspective yields a closed-form identity that expresses the goal-conditioned value function as a discounted sum of survival probabilities, enabling value estimation via a hazard model trained via maximum likelihood on both event and right-censored trajectories.

C2weakest assumption

That modeling time-to-goal as a probability distribution via a hazard function produces stable value estimates that avoid the bootstrapping instability of temporal-difference methods, and that the three practical estimators (finite-horizon truncation and binned infinite-horizon approximations) faithfully capture long-horizon objectives without introducing significant bias.

C3one line summary

Survival value learning expresses the goal-conditioned value function as a discounted sum of survival probabilities and estimates it with maximum-likelihood hazard models on censored data, matching or exceeding TD baselines on long-horizon offline GCRL tasks.

Receipt and verification

First computed	2026-06-01T01:03:53.315040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a0d08d5dea5f4a04c911ff836f41d5c32fd0a87875e527a0a224d22f7f3dd4

Aliases

arxiv: 2604.17551 · arxiv_version: 2604.17551v2 · doi: 10.48550/arxiv.2604.17551 · pith_short_12: GKQNBDK55JPU · pith_short_16: GKQNBDK55JPUUBGJ · pith_short_8: GKQNBDK5

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GKQNBDK55JPUUBGJCH7YG32B2X \
  | 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: 32a0d08d5dea5f4a04c911ff836f41d5c32fd0a87875e527a0a224d22f7f3dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323de9196b25189805225d400185f8b287b6edc59cc055c7230178f9eca48999",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-04-19T17:44:13Z",
    "title_canon_sha256": "6f04d9c29ff742410496f820d3317476e16e695943603766e5c0b1f5f7a2caf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.17551",
    "kind": "arxiv",
    "version": 2
  }
}