Pith Number

pith:NZRBKCX6

pith:2026:NZRBKCX6G6G24KKV54WWIKS2LO

not attested not anchored not stored refs resolved

A solvable model of 3d quantum gravity

Anatoly Dymarsky

Summing n copies of a simple topological theory over every 3D space produces a solvable model of quantum gravity dual to an ensemble of 2D CFTs.

arxiv:2605.12590 v1 · 2026-05-12 · hep-th · math.CO · math.QA

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\pithnumber{NZRBKCX6G6G24KKV54WWIKS2LO}

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Record completeness

1 Bitcoin timestamp

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

The bulk theory is holographically dual to an ensemble of all 2d CFTs with central charge c=n/2 and chiral algebra that includes Vir_{1/2}^n. In the large central charge limit the model manifests many features expected in semiclassical 3d quantum gravity, including curing negativity of the density of states, a Hawking-Page transition, and an exponentially suppressed wormhole amplitude.

C2weakest assumption

That summing the TQFT over literally all 3d topologies (with no additional weighting or cutoff) correctly defines the quantum gravity path integral and produces the claimed holographic duality and semiclassical features.

C3one line summary

A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states and Hawking-Page transition in the large-c limit.

References

93 extracted · 93 resolved · 16 Pith anchors

[1] J. D. Brown and M. Henneaux,Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity, Commun. Math. Phys. 104 (1986) 207 1986

[2] Ach´ ucarro and P 1986

[3] Witten,(2+1)-Dimensional Gravity as an Exactly Soluble System, Nucl 1988

[4] The Black Hole in Three Dimensional Space Time 1992 · arXiv:hep-th/9204099

[5] Three-Dimensional Gravity Revisited · arXiv:0706.3359

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:10:01.272232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e62150afe378dae2955ef2d642a5a5b8e8e0b21259d49936a6742983152e508

Aliases

arxiv: 2605.12590 · arxiv_version: 2605.12590v1 · doi: 10.48550/arxiv.2605.12590 · pith_short_12: NZRBKCX6G6G2 · pith_short_16: NZRBKCX6G6G24KKV · pith_short_8: NZRBKCX6

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/NZRBKCX6G6G24KKV54WWIKS2LO \
  | 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: 6e62150afe378dae2955ef2d642a5a5b8e8e0b21259d49936a6742983152e508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f1328f2f4f9b467db82bc449d7ffc4bf09944843919e20488f5fac11269003",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-12T18:00:00Z",
    "title_canon_sha256": "9ebf2fb4e921178d37173c8a6005363375d12197c8e60e708c12fbf6372b8a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12590",
    "kind": "arxiv",
    "version": 1
  }
}