Paper Citation Record · LEDGER

Asymptotic tensor rank is characterized by polynomials

As of 13 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2411.15789.

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pith.paper-citation-record.v1
2411.15789 v2

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50 of 50 outbound references displayed

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Outbound references

Observation 00b58056-c6f7-4595-9186-66b00e73a808 · outbound

This paper cites Limits on the Universal Method for Matrix Multiplication.

Asymptotic tensor rank is characterized by polynomials Limits on the Universal Method for Matrix Multiplication

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:45.644731Z

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Observation e7b11ae4-00b7-4739-b272-a40d2abeb6d5 · outbound

This paper cites A refined laser method and faster matrix multiplication.

Asymptotic tensor rank is characterized by polynomials A refined laser method and faster matrix multiplication

Reference 2

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Observation a605df0c-dc66-4123-87c8-34b8a06b51f4 · outbound

This paper cites On cap sets and the group-theoretic approach to matrix multiplication.

Asymptotic tensor rank is characterized by polynomials On cap sets and the group-theoretic approach to matrix multiplication

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T14:05:45.612295Z

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Observation 20e6e27b-81ba-4fb7-a7c0-66a7291553c2 · outbound

This paper cites Matrix multiplication via matrix groups.

Asymptotic tensor rank is characterized by polynomials Matrix multiplication via matrix groups

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T14:05:45.572551Z

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Observation 90143800-100f-41bd-97b1-ad82d21dc73d · outbound

This paper cites Finite matrix multiplication algorithms from infinite groups.

Asymptotic tensor rank is characterized by polynomials Finite matrix multiplication algorithms from infinite groups

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T14:05:45.528392Z

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Observation 1b6f8773-46e0-456e-85a2-176d1597e67b · outbound

This paper cites Fast Deterministic Chromatic Number under the Asymptotic Rank Conjecture.

Asymptotic tensor rank is characterized by polynomials Fast Deterministic Chromatic Number under the Asymptotic Rank Conjecture

Reference 6

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Observation c790ba51-ba82-4942-9553-3106c2520630 · outbound

This paper cites Discreteness of asymptotic tensor ranks.

Asymptotic tensor rank is characterized by polynomials Discreteness of asymptotic tensor ranks

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:45.470676Z

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Observation 0bb0f5a3-2e37-4356-be86-454496f0816b · outbound

This paper cites Algebraic complexity theory , volume 315 of Grundlehren der mathematischen Wissenschaften.

Asymptotic tensor rank is characterized by polynomials Algebraic complexity theory , volume 315 of Grundlehren der mathematischen Wissenschaften

Reference 8

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Observation b870227e-996b-4a5c-903d-8f8815750858 · outbound

This paper cites A Tensor Restriction Theorem over Finite Fields.

Asymptotic tensor rank is characterized by polynomials A Tensor Restriction Theorem over Finite Fields

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:44.337937Z

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Observation 65668035-1c0f-4891-aae4-c23150296c32 · outbound

This paper cites Countably many asymptotic tensor ranks.

Asymptotic tensor rank is characterized by polynomials Countably many asymptotic tensor ranks

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:45.426307Z

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Observation 631a957e-6911-4d8b-8c84-fb44e2bcd9d7 · outbound

This paper cites Generalized matrix completion and algebraic natural proofs.

Asymptotic tensor rank is characterized by polynomials Generalized matrix completion and algebraic natural proofs

Reference 11

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Observation aa50314c-4c39-41ec-8859-2eb13b96f404 · outbound

This paper cites Slice rank of block tensors and irreversibility of structure tensors of algebras.

Asymptotic tensor rank is characterized by polynomials Slice rank of block tensors and irreversibility of structure tensors of algebras

Reference 13

Resolution: verified exact; doi, observed 2026-08-12T14:05:44.306192Z

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Observation e3fe31c1-7509-42d7-b150-ac7138c7978b · outbound

This paper cites Fast Matrix Multiplication.

Asymptotic tensor rank is characterized by polynomials Fast Matrix Multiplication

Reference 14

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Observation 07ec6187-aca2-49fd-a623-392183f3b5c7 · outbound

This paper cites Explicit Tensors , pages 117--130.

Asymptotic tensor rank is characterized by polynomials Explicit Tensors , pages 117--130

Reference 15

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Observation 8e726ccd-1e18-44b2-a733-2d0a7b95b0e1 · outbound

This paper cites Border rank is not multiplicative under the tensor product.

Asymptotic tensor rank is characterized by polynomials Border rank is not multiplicative under the tensor product

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:45.204182Z

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Observation a8a1f859-c9a8-4820-bb18-802f9a0ff87e · outbound

This paper cites A Gap in the Subrank of Tensors.

Asymptotic tensor rank is characterized by polynomials A Gap in the Subrank of Tensors

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:45.161041Z

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Observation 4b1da153-1211-487d-b659-281efc9985c1 · outbound

This paper cites Tensor rank is not multiplicative under the tensor product.

Asymptotic tensor rank is characterized by polynomials Tensor rank is not multiplicative under the tensor product

Reference 18

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Observation 1f5f738f-5076-4bed-8863-def18252029a · outbound

This paper cites Group-theoretic algorithms for matrix multiplication.

Asymptotic tensor rank is characterized by polynomials Group-theoretic algorithms for matrix multiplication

Reference 19

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Observation 923901b6-507f-41a8-81d8-7082f4c8e84c · outbound

This paper cites PyMatting: A Python Library for Alpha Matting.

Asymptotic tensor rank is characterized by polynomials PyMatting: A Python Library for Alpha Matting

Reference 20

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Observation 2dbb7740-04fd-4a53-934b-e41259655474 · outbound

This paper cites Fast matrix multiplication using coherent configurations.

Asymptotic tensor rank is characterized by polynomials Fast matrix multiplication using coherent configurations

Reference 21

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Observation bc89b281-0c20-4d85-bdb2-21daabb51e2a · outbound

This paper cites Barriers for fast matrix multiplication from irreversibility.

Asymptotic tensor rank is characterized by polynomials Barriers for fast matrix multiplication from irreversibility

Reference 22

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Observation 1c418fff-42f5-4842-ae78-5674d09c52c5 · outbound

This paper cites Universal points in the asymptotic spectrum of tensors.

Asymptotic tensor rank is characterized by polynomials Universal points in the asymptotic spectrum of tensors

Reference 23

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Observation e8235b3b-40b0-47c3-9c15-9d94d05e76b3 · outbound

This paper cites The asymptotic spectrum distance, graph limits, and the S hannon capacity, 2024.

Asymptotic tensor rank is characterized by polynomials The asymptotic spectrum distance, graph limits, and the S hannon capacity, 2024

Reference 24

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Observation a66826ba-2e14-4d97-b6a4-05996606688b · outbound

This paper cites Topological Noetherianity of polynomial functors.

Asymptotic tensor rank is characterized by polynomials Topological Noetherianity of polynomial functors

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T14:05:43.397509Z

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Observation 098b1fa6-dec4-4145-9497-3d9e4c474bea · outbound

This paper cites Faster Matrix Multiplication via Asymmetric Hashing.

Asymptotic tensor rank is characterized by polynomials Faster Matrix Multiplication via Asymmetric Hashing

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T14:05:43.405803Z

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Observation 79e24890-922e-40cf-804a-4e400fa415a9 · outbound

This paper cites Commutative algebra , volume 150 of Graduate Texts in Mathematics.

Asymptotic tensor rank is characterized by polynomials Commutative algebra , volume 150 of Graduate Texts in Mathematics

Reference 27

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Observation 5ef4b1a4-2146-4834-918f-3cf0db379c75 · outbound

This paper cites The next gap in the subrank of 3-tensors.

Asymptotic tensor rank is characterized by polynomials The next gap in the subrank of 3-tensors

Reference 28

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Observation b0eb0726-4e3e-4ea6-99ce-8cfb035e86ff · outbound

This paper cites Tensor rank is NP -complete.

Asymptotic tensor rank is characterized by polynomials Tensor rank is NP -complete

Reference 29

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Observation 0470d019-36b9-4b89-9fff-23870392425e · outbound

This paper cites Hillar and Lek - Heng Lim.

Asymptotic tensor rank is characterized by polynomials Hillar and Lek - Heng Lim

Reference 30

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Observation 2020f059-c261-475e-bf51-153aa7b0d856 · outbound

This paper cites A universal sequence of tensors for the asymptotic rank conjecture.

Asymptotic tensor rank is characterized by polynomials A universal sequence of tensors for the asymptotic rank conjecture

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:44.813081Z

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Observation 55350cf8-91ba-4285-9297-1f2b2b56cb5c · outbound

This paper cites Powers of tensors and fast matrix multiplication.

Asymptotic tensor rank is characterized by polynomials Powers of tensors and fast matrix multiplication

Reference 32

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Asymptotic tensor rank is characterized by polynomials Unresolved cited work

Reference 33

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Observation 7e45735d-d2f4-48e3-bd86-745ce109393f · outbound

This paper cites Upper bounds for sunflower-free sets.

Asymptotic tensor rank is characterized by polynomials Upper bounds for sunflower-free sets

Reference 34

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Observation 619b79e2-3afc-4655-8cff-22be73dc3789 · outbound

This paper cites A stronger connection between the asymptotic rank conjecture and the set cover conjecture.

Asymptotic tensor rank is characterized by polynomials A stronger connection between the asymptotic rank conjecture and the set cover conjecture

Reference 35

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Observation c37eb0cc-15a1-45a5-9a51-17ccf5ccf8e3 · outbound

This paper cites Tensor-rank and lower bounds for arithmetic formulas.

Asymptotic tensor rank is characterized by polynomials Tensor-rank and lower bounds for arithmetic formulas

Reference 36

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This paper cites G \'e om \'e trie alg \'e brique et g \'e om \'e trie analytique.

Asymptotic tensor rank is characterized by polynomials G \'e om \'e trie alg \'e brique et g \'e om \'e trie analytique

Reference 37

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Asymptotic tensor rank is characterized by polynomials Unresolved cited work

Reference 38

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Observation 0cfd80ce-290c-429a-8ebe-a457ed05f42d · outbound

This paper cites How hard is the tensor rank?.

Asymptotic tensor rank is characterized by polynomials How hard is the tensor rank?

Reference 39

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Observation 74dd2224-7a0d-4608-9cc9-0b5560732bf3 · outbound

This paper cites The complexity of tensor rank.

Asymptotic tensor rank is characterized by polynomials The complexity of tensor rank

Reference 40

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Observation 060ecd32-0560-44a9-b76f-c98bc275312c · outbound

This paper cites The asymptotic spectrum of tensors and the exponent of matrix multiplication.

Asymptotic tensor rank is characterized by polynomials The asymptotic spectrum of tensors and the exponent of matrix multiplication

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-12T14:05:43.543790Z

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This paper cites The asymptotic spectrum of tensors.

Asymptotic tensor rank is characterized by polynomials The asymptotic spectrum of tensors

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-12T14:05:43.552284Z

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This paper cites Asymptotic spectrum and matrix multiplication.

Asymptotic tensor rank is characterized by polynomials Asymptotic spectrum and matrix multiplication

Reference 43

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Observation 5aaa0052-0384-4ca6-97fc-16dc2b16366e · outbound

This paper cites Tensor rank is hard to approximate.

Asymptotic tensor rank is characterized by polynomials Tensor rank is hard to approximate

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-12T14:05:43.575558Z

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Observation f646a493-b1d2-4981-b5c1-5f5717c34fec · outbound

This paper cites A symmetric formulation of the Croot-Lev-Pach-Ellenberg-Gijswijt capset bound , 2016.

Asymptotic tensor rank is characterized by polynomials A symmetric formulation of the Croot-Lev-Pach-Ellenberg-Gijswijt capset bound , 2016

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:05:45.686598Z

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Observation b4e6ba24-47c4-45bb-8cf7-edb30503b5bc · outbound

This paper cites Asymptotic entanglement transformation between W and GHZ states.

Asymptotic tensor rank is characterized by polynomials Asymptotic entanglement transformation between W and GHZ states

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:05:44.442810Z

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Observation b7e31c7a-32c8-42bb-b03c-01fd30834875 · outbound

This paper cites Entanglement distillation from G reenberger- H orne- Z eilinger shares.

Asymptotic tensor rank is characterized by polynomials Entanglement distillation from G reenberger- H orne- Z eilinger shares

Reference 47

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Observation c43bdf33-8df8-4452-b059-d551629615bc · outbound

This paper cites Probabilistic refinement of the asymptotic spectrum of graphs.

Asymptotic tensor rank is characterized by polynomials Probabilistic refinement of the asymptotic spectrum of graphs

Reference 48

Resolution: verified exact; doi, observed 2026-08-12T14:05:43.927873Z

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Observation ced98b04-0948-4982-90fd-97329ae6778e · outbound

This paper cites New Bounds for Matrix Multiplication: from Alpha to Omega.

Asymptotic tensor rank is characterized by polynomials New Bounds for Matrix Multiplication: from Alpha to Omega

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-12T14:05:43.630494Z

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Observation bbbbd90f-623f-412e-a7b5-fedffd35d384 · outbound

This paper cites Asymptotic spectra: Theory, applications and extensions, 2022.

Asymptotic tensor rank is characterized by polynomials Asymptotic spectra: Theory, applications and extensions, 2022

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:05:45.667653Z

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Observation 691da2e5-a76e-4298-9311-de15fe7532c6 · outbound

This paper cites The asymptotic spectrum of graphs and the S hannon capacity.

Asymptotic tensor rank is characterized by polynomials The asymptotic spectrum of graphs and the S hannon capacity

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-12T14:05:43.646187Z

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