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Paper Citation Record · LEDGER

Pure gapped ground states of spin chains are short-range entangled

As of 15 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2511.14699.

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pith.paper-citation-record.v1
2511.14699 v2

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measured 35 of 35 reference resolution

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measured 36 of 36 standing notices

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T11:42:51.655279Z

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Source: arxiv_reference, observed 2026-06-29T11:43:23.234705Z

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35 of 35 outbound references displayed

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Outbound references

Observation 222d627e-d903-428c-91cc-5d96e139ad1a · outbound

This paper cites Springer Nature : Springer, 2013.

Pure gapped ground states of spin chains are short-range entangled Springer Nature : Springer, 2013

Reference 1

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Observation 672835c0-1c24-4ccf-b5fd-9ef5345d50e8 · outbound

This paper cites Symmetry protected topological orders and the group cohomology of their symmetry group.Physical Review B, 87(15):155114, 2013.

Pure gapped ground states of spin chains are short-range entangled Symmetry protected topological orders and the group cohomology of their symmetry group.Physical Review B, 87(15):155114, 2013

Reference 2

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Observation c232a2f8-3aac-4ae0-ae52-c3eae044ff52 · outbound

This paper cites Classification of gapped symmetric phases in one- dimensional spin systems.Physical Review B, 83(3):035107, 2011.

Pure gapped ground states of spin chains are short-range entangled Classification of gapped symmetric phases in one- dimensional spin systems.Physical Review B, 83(3):035107, 2011

Reference 3

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Observation 75c2fe2e-542d-488e-9c0d-44334ffb9fb2 · outbound

This paper cites Quantum state transformations and the schubert calculus.Annals of Physics, 315(1):80–122, 2005.

Pure gapped ground states of spin chains are short-range entangled Quantum state transformations and the schubert calculus.Annals of Physics, 315(1):80–122, 2005

Reference 4

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Observation 89e2bceb-603b-4ece-a00c-05ea03eff3bb · outbound

This paper cites Locally accurate mps approximations for ground states of one-dimensional gapped local hamiltonians.Quantum, 3:187, 2019.

Pure gapped ground states of spin chains are short-range entangled Locally accurate mps approximations for ground states of one-dimensional gapped local hamiltonians.Quantum, 3:187, 2019

Reference 5

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Observation 0019556b-cef4-4faa-9b1e-9192ac951354 · outbound

This paper cites Carvalho, Wojciech De Roeck, and Tijl Jappens.

Pure gapped ground states of spin chains are short-range entangled Carvalho, Wojciech De Roeck, and Tijl Jappens

Reference 6

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Observation 364e8493-7d36-4e65-b84c-f79c60b9cdcf · outbound

This paper cites Topological phases of spin chains.Physical Review B, 87(12):125145, 2013.

Pure gapped ground states of spin chains are short-range entangled Topological phases of spin chains.Physical Review B, 87(12):125145, 2013

Reference 7

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This paper cites an unresolved cited work.

Pure gapped ground states of spin chains are short-range entangled Unresolved cited work

Reference 8

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Observation d659d2e2-869a-4415-a810-2ec10b01f5f5 · outbound

This paper cites Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order.Physical Review B, 80(15):155131, 2009.

Pure gapped ground states of spin chains are short-range entangled Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order.Physical Review B, 80(15):155131, 2009

Reference 9

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This paper cites Approximating the ground state of gapped quantum spin systems.Journal of Mathematical Physics, 50(9):095213, 09 2009.

Pure gapped ground states of spin chains are short-range entangled Approximating the ground state of gapped quantum spin systems.Journal of Mathematical Physics, 50(9):095213, 09 2009

Reference 10

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This paper cites An area law for one-dimensional quantum systems.Journal of Statistical Mechanics: Theory and Experiment, 2007(08):P08024–P08024, August 2007.

Pure gapped ground states of spin chains are short-range entangled An area law for one-dimensional quantum systems.Journal of Statistical Mechanics: Theory and Experiment, 2007(08):P08024–P08024, August 2007

Reference 11

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Observation 538c9947-55aa-4a7a-9648-d2bf7982e4d2 · outbound

This paper cites Spectral Gap and Exponential Decay of Correlations.

Pure gapped ground states of spin chains are short-range entangled Spectral Gap and Exponential Decay of Correlations

Reference 12

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This paper cites Fidelity of states in infinite-dimensional quantum systems.Science China Physics, Mechanics & Astronomy, 55(10):1820–1827, 2012.

Pure gapped ground states of spin chains are short-range entangled Fidelity of states in infinite-dimensional quantum systems.Science China Physics, Mechanics & Astronomy, 55(10):1820–1827, 2012

Reference 13

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This paper cites A classification of invertible phases of bosonic quantum lattice systems in one dimension.Journal of Mathematical Physics, 62(8):081901, August 2021.

Pure gapped ground states of spin chains are short-range entangled A classification of invertible phases of bosonic quantum lattice systems in one dimension.Journal of Mathematical Physics, 62(8):081901, August 2021

Reference 14

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Observation 2e64d823-37a3-4059-9b47-85e84696acf8 · outbound

This paper cites Stable homotopy theory of invertible gapped quantum spin systems i: Kitaev’s Ω- spectrum.

Pure gapped ground states of spin chains are short-range entangled Stable homotopy theory of invertible gapped quantum spin systems i: Kitaev’s Ω- spectrum

Reference 15

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Observation 04eaf219-7d67-4b99-8dde-e7a376483c9f · outbound

This paper cites Lieb and Derek W.

Pure gapped ground states of spin chains are short-range entangled Lieb and Derek W

Reference 16

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Observation 81790cbc-ce13-4d3e-8594-2b084e53eb20 · outbound

This paper cites The eigen- and singular values of the sum and product of linear operators.Russian Mathematical Surveys, 19(4):91, aug 1964.

Pure gapped ground states of spin chains are short-range entangled The eigen- and singular values of the sum and product of linear operators.Russian Mathematical Surveys, 19(4):91, aug 1964

Reference 17

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Observation 9a25cd65-5582-48dc-8a23-74e7d0fef439 · outbound

This paper cites The split property and the symmetry breaking of the quantum spin chain.Communica- tions in Mathematical Physics, 218:393–416, 2001.

Pure gapped ground states of spin chains are short-range entangled The split property and the symmetry breaking of the quantum spin chain.Communica- tions in Mathematical Physics, 218:393–416, 2001

Reference 18

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Observation 9193778c-256d-415c-9309-598cb751c288 · outbound

This paper cites Boundedness of entanglement entropy and split property of quantum spin chains.Reviews in Mathematical Physics, 25(9):Article 1350017, 2013.

Pure gapped ground states of spin chains are short-range entangled Boundedness of entanglement entropy and split property of quantum spin chains.Reviews in Mathematical Physics, 25(9):Article 1350017, 2013

Reference 19

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Observation bc3ed86a-2198-485c-8eeb-be87ed5d88d5 · outbound

This paper cites Number volume 933 in Lecture notes in physics.

Pure gapped ground states of spin chains are short-range entangled Number volume 933 in Lecture notes in physics

Reference 20

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Observation f184af3d-8382-49e9-910f-2c645e87eb9e · outbound

This paper cites Propagation of Correlations in Quantum Lattice Systems.Journal of Statistical Physics, 124(1):1–13, 2006.

Pure gapped ground states of spin chains are short-range entangled Propagation of Correlations in Quantum Lattice Systems.Journal of Statistical Physics, 124(1):1–13, 2006

Reference 21

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Observation 00e66964-177b-4965-8357-2784004274ba · outbound

This paper cites Lieb-Robinson Bounds and the Exponential Clustering Theorem.

Pure gapped ground states of spin chains are short-range entangled Lieb-Robinson Bounds and the Exponential Clustering Theorem

Reference 22

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Observation 27845726-5a60-4349-b8f9-2cb1f92f2cc2 · outbound

This paper cites Quasi-locality bounds for quantum lattice systems.

Pure gapped ground states of spin chains are short-range entangled Quasi-locality bounds for quantum lattice systems

Reference 23

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Observation 2f2009fe-49a1-47f0-bab2-22a9e1e198bf · outbound

This paper cites Classification of symmetry protected topological phases in quantum spin chains.Current Developments in Mathematics, 2020(1):1–83, 2020.

Pure gapped ground states of spin chains are short-range entangled Classification of symmetry protected topological phases in quantum spin chains.Current Developments in Mathematics, 2020(1):1–83, 2020

Reference 24

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Pure gapped ground states of spin chains are short-range entangled Unresolved cited work

Reference 25

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Observation dad8c9bf-3973-4652-bcaa-91cfcd7c8fe7 · outbound

This paper cites Turner, Erez Berg, and Masaki Oshikawa.

Pure gapped ground states of spin chains are short-range entangled Turner, Erez Berg, and Masaki Oshikawa

Reference 26

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Observation f376b404-1101-4ee5-9295-abe08ee37775 · outbound

This paper cites Classifying quantum phases using matrix product states and projected entangled pair states.Physical Review B, 84(16):165139, 2011.

Pure gapped ground states of spin chains are short-range entangled Classifying quantum phases using matrix product states and projected entangled pair states.Physical Review B, 84(16):165139, 2011

Reference 27

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Observation 16a22984-d8e6-4af6-948d-877eef938f26 · outbound

This paper cites Matrix product state approximations for infinite systems.

Pure gapped ground states of spin chains are short-range entangled Matrix product state approximations for infinite systems

Reference 28

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Observation 8d587b1e-b48c-4844-85c3-8db41d64d54b · outbound

This paper cites Princeton University Press, Prince- ton, New Jersey, 2014.

Pure gapped ground states of spin chains are short-range entangled Princeton University Press, Prince- ton, New Jersey, 2014

Reference 29

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Observation cc0b4d6a-71b8-43ad-87b2-7f29248a62bb · outbound

This paper cites An index for two-dimensional SPT states.Journal of Mathematical Physics, 62(11):111901, 2021.

Pure gapped ground states of spin chains are short-range entangled An index for two-dimensional SPT states.Journal of Mathematical Physics, 62(11):111901, 2021

Reference 30

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This paper cites Chiral topologically ordered states on a lattice from vertex operator algebra.Advances in Theoretical and Mathematical Physics, 28(1):1–35, 2024.

Pure gapped ground states of spin chains are short-range entangled Chiral topologically ordered states on a lattice from vertex operator algebra.Advances in Theoretical and Mathematical Physics, 28(1):1–35, 2024

Reference 31

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Observation 1dbc7c44-424d-45c3-af3e-71b424c8f9e1 · outbound

This paper cites transition probability.

Pure gapped ground states of spin chains are short-range entangled transition probability

Reference 32

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Pure gapped ground states of spin chains are short-range entangled Unresolved cited work

Reference 33

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This paper cites Matrix product states represent ground states faithfully.Physical Review B—Condensed Matter and Materials Physics, 73(9):094423, 2006.

Pure gapped ground states of spin chains are short-range entangled Matrix product states represent ground states faithfully.Physical Review B—Condensed Matter and Materials Physics, 73(9):094423, 2006

Reference 34

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Observation ee57fb7d-9052-41f5-8b1c-1a0d2d38ca63 · outbound

This paper cites Goldbart.

Pure gapped ground states of spin chains are short-range entangled Goldbart

Reference 35

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Pith citing papers

Observation 4019e70b-848f-4c18-ae32-a29188eaada7 · inbound

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems cites this paper.

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems Pure gapped ground states of spin chains are short-range entangled

Reference 25

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arxiv_id, observed 2026-07-08T02:18:08.712205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-29T11:42:51.655279Z digest=sha256:507a3752171a1e4155c8ac0ceca9309aa26dd9a72a9e23c5c61705acea4b5235