Pith Number

pith:GQWJGAZK

pith:2026:GQWJGAZKCTR7BSA3FXE43XZQHX

not attested not anchored not stored refs resolved

Exploring the holographic entropy cone via reinforcement learning

Hirosi Ooguri, Jaeha Lee, Temple He

Reinforcement learning finds graph realizations for three of six mystery extreme rays in the N=6 holographic entropy cone.

arxiv:2601.19979 v2 · 2026-01-27 · hep-th · cs.LG · quant-ph

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

We found realizations for 3 of them, proving they are genuine extreme rays of the holographic entropy cone, while providing evidence that the remaining 3 are not realizable, implying unknown holographic inequalities exist for N=6.

C2weakest assumption

That the reinforcement-learning search is sufficiently exhaustive: if a graph realization exists, the algorithm will find it, and repeated failure therefore constitutes reliable evidence that no realization exists.

C3one line summary

Reinforcement learning finds explicit graph realizations for three of six previously unresolved extreme rays of the N=6 holographic entropy cone and supplies evidence that the other three lie outside it.

References

47 extracted · 47 resolved · 8 Pith anchors

[1] Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the N = 6 solution, 2025

[2] The inequalities of quantum information theory, 2003

[3] The Holographic Entropy Cone 2015 · arXiv:1505.07839

[4] Holographic Derivation of Entanglement Entropy from AdS/CFT 2006 · arXiv:hep-th/0603001

[5] Holographic Entropy Relations Repackaged, 2019

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:24.181441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

342c93032a14e3f0c81b2dc9cddf303dffac73512538de37df7d7e837364035d

Aliases

arxiv: 2601.19979 · arxiv_version: 2601.19979v2 · doi: 10.48550/arxiv.2601.19979 · pith_short_12: GQWJGAZKCTR7 · pith_short_16: GQWJGAZKCTR7BSA3 · pith_short_8: GQWJGAZK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQWJGAZKCTR7BSA3FXE43XZQHX \
  | 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: 342c93032a14e3f0c81b2dc9cddf303dffac73512538de37df7d7e837364035d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b394f32bbfcc70f8b900566471fa31ba2fd66b40538231414d70b194d55b415d",
    "cross_cats_sorted": [
      "cs.LG",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-01-27T19:00:01Z",
    "title_canon_sha256": "a8fccb8387451990c060574b8c986aff0821a77d213352adb805006ac7c67a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19979",
    "kind": "arxiv",
    "version": 2
  }
}