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Paper Citation Record · LEDGER

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem

As of 20 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.28700.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.28700 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T00:43:40.914001Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

  • verified exact7
  • verified fuzzy0
  • unresolved21
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 96e0bb78-66c9-4e99-9379-84ef01d8ab72 · outbound

This paper cites Springer, 2021.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Springer, 2021

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:37.278554Z digest=sha256:fcc48d8607f9f07885c71849567fa673e1cb5d9116022f83f61b93bd87fc4c54

Observation 00965f02-8ee0-4dc8-913e-80bd2a3e0d7a · outbound

This paper cites Fully homomorphic encryption using ideal lattices.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Fully homomorphic encryption using ideal lattices

Reference 2

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no resolver link, observed 2026-08-03T00:43:37.326053Z

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source=pdf_text observed=2026-08-03T00:43:37.326053Z digest=sha256:1840808b05bf694f87881d39a3cc69ebb2b8922b413156076c98803bcdfc7820

Observation 73c30541-d72b-4bf1-a48b-774d8bc5915f · outbound

This paper cites Homomorphic encryption for arithmetic of approximate numbers.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Homomorphic encryption for arithmetic of approximate numbers

Reference 3

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no resolver link, observed 2026-08-03T00:43:37.383848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:37.383848Z digest=sha256:26272781faf2973584d5482dcd8ef4e9f372efe5ae9bc632c2ebe459b9a07799

Observation 5380a9c9-4fd4-4e15-9825-4d9f82b42572 · outbound

This paper cites (leveled) fully homomorphic encryption without bootstrapping.ACM Transactions on Computation Theory (TOCT), 6(3):1–36, 2014.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem (leveled) fully homomorphic encryption without bootstrapping.ACM Transactions on Computation Theory (TOCT), 6(3):1–36, 2014

Reference 4

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no resolver link, observed 2026-08-03T00:43:37.482934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:37.482934Z digest=sha256:d5473c4329c8e58686a8816775c38ba7fe8fd490a3c6c8d5fb9d2c984da27a37

Observation f5f3ce0c-1a6d-411d-a196-91abbd7bb60b · outbound

This paper cites Evaluating 2-dnf formulas on ciphertexts.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Evaluating 2-dnf formulas on ciphertexts

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:37.558432Z digest=sha256:7f09205bcd0df4fd1679c7d7efe778e53fc37a29d15894b503a8a895e04ab638

Observation ba45e749-30b5-47f3-a1c6-36bd3c9305f3 · outbound

This paper cites Sustainable cryptography: Carbon asymmetry in partially homomorphic encryption in the cloud.Symmetry, 18(5):832, 2026.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Sustainable cryptography: Carbon asymmetry in partially homomorphic encryption in the cloud.Symmetry, 18(5):832, 2026

Reference 6

Resolution
verified exact
doi, observed 2026-08-03T00:48:41.809054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-03T00:43:37.688200Z digest=sha256:7b9531f7f5eb6460c8840308a01fc958c11c07d87f4014851d41934f2c9708cf

Observation ddb02f19-4259-4d56-9fe6-88eb6a736877 · outbound

This paper cites Rivest, Adi Shamir, and Leonard Adleman.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Rivest, Adi Shamir, and Leonard Adleman

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:37.881384Z digest=sha256:b4ece302161c15a9ad4d42b6f33102109e370b467079cbadd2d2bbc5232795a6

Observation 959dae72-2027-4d53-9618-36d73e6f23a1 · outbound

This paper cites A public key cryptosystem and a signature scheme based on discrete logarithms.IEEE Transactions on Information Theory, 31(4):469–472, 1985.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem A public key cryptosystem and a signature scheme based on discrete logarithms.IEEE Transactions on Information Theory, 31(4):469–472, 1985

Reference 8

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source=pdf_text observed=2026-08-03T00:43:37.998527Z digest=sha256:89b9c34bdc43a8f84339600dbee937e5837692c037457d84011baaad0014089d

Observation da04a782-058f-46c6-9341-e7aa5953cab9 · outbound

This paper cites Sutikno, A.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Sutikno, A

Reference 9

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:38.124589Z digest=sha256:f298c6980e6f02b5e32a6ff58a87a3851a1d3da8203d4849e407b4cb41a950b5

Observation 3cc02ae5-6d8f-45a7-b5c6-75871309a8a6 · outbound

This paper cites an unresolved cited work.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Unresolved cited work

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:38.198835Z digest=sha256:92a220bbef982ccc0f7ca6397b77a3b34b230061a75daf605f9a814815196a6a

Observation fc13c64c-f620-46bf-b03f-f94f80f5f292 · outbound

This paper cites Elliptic curve cryptosystems.Mathematics of Computation, 48(177):203–209, 1987.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Elliptic curve cryptosystems.Mathematics of Computation, 48(177):203–209, 1987

Reference 11

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source=pdf_text observed=2026-08-03T00:43:38.363689Z digest=sha256:d1d6732667a0d24a8911c919ba60a1b6dfac626705b4d83fe95d0b8b9571045f

Observation 3ea79061-9c57-4b28-bed3-c94bfde1816f · outbound

This paper cites an unresolved cited work.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-03T00:48:41.698495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-03T00:43:38.609793Z digest=sha256:7915ab4c1a15b6ef6ca0f8fd4757ebf371b635abf318577bdaf09d721b1c9341

Observation dbc6471d-1812-43a4-ac88-4cdc595aaf55 · outbound

This paper cites Public-key cryptosystems based on composite degree residuosity classes.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Public-key cryptosystems based on composite degree residuosity classes

Reference 13

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:38.785999Z digest=sha256:88fce22d743a4edbe35b6cc8862698aa6df2615bf043924fe0c28ceee8a70559

Observation 19ff0ad0-8459-483d-a1b4-6704437cb4f7 · outbound

This paper cites A generalisation, a simplification and some applications of paillier’s probabilistic public-key system.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem A generalisation, a simplification and some applications of paillier’s probabilistic public-key system

Reference 14

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no resolver link, observed 2026-08-03T00:43:38.909151Z

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source=pdf_text observed=2026-08-03T00:43:38.909151Z digest=sha256:af7149c98da4c5456cb049fe93db25e66c139c2f7508a415d24db1679caf8f07

Observation 4b4f80b3-6d90-4625-bd63-7e0c53e80c3c · outbound

This paper cites A new public-key cryptosystem as secure as factoring.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem A new public-key cryptosystem as secure as factoring

Reference 15

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verified exact
doi, observed 2026-08-03T00:48:41.585271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-03T00:43:39.008416Z digest=sha256:c5808f90e28a3022afbbea9f53936cab24ee917993ed4b832aa03ddbb45833b8

Observation 1947d152-0dd1-4af8-aa19-5720cc8e7d6e · outbound

This paper cites Dense probabilistic encryption.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Dense probabilistic encryption

Reference 16

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no resolver link, observed 2026-08-03T00:43:39.214525Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:39.214525Z digest=sha256:95d9a51dd0d4b6553b4f74d562b43347a0ad4047a4c997ace97cc784b5f31cdf

Observation 82f29539-4317-48de-8bf5-125682c3d279 · outbound

This paper cites A new public key cryptosystem based on higher residues.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem A new public key cryptosystem based on higher residues

Reference 17

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source=pdf_text observed=2026-08-03T00:43:39.380622Z digest=sha256:f4296cddb83dd096fd8c32ee0b10f54f935c2669448805f34382e61565ec5fbf

Observation 1fdbb6ed-1e9b-4e3d-886c-0ec62ce652f4 · outbound

This paper cites Probabilistic encryption.Journal of Computer and System Sciences, 28(2): 270–299, 1984.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Probabilistic encryption.Journal of Computer and System Sciences, 28(2): 270–299, 1984

Reference 18

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source=pdf_text observed=2026-08-03T00:43:39.577758Z digest=sha256:a5616d9a44589199aba3ca60da70a650a8db9316cc4a83136d6acd74f872b04f

Observation 9540fc4a-5413-4c94-8306-bed3c3e6990f · outbound

This paper cites Non-interactive cryptocomputing for nc/sup 1.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Non-interactive cryptocomputing for nc/sup 1

Reference 19

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no resolver link, observed 2026-08-03T00:43:39.755515Z

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source=pdf_text observed=2026-08-03T00:43:39.755515Z digest=sha256:a15d26ce33cef260e8c0c3377ccda198088005ff8a7967c37db4353054203aa9

Observation ab09e58e-bfed-4985-af80-1f94bc64e011 · outbound

This paper cites Tenseal: A library for encrypted tensor operations using homomorphic encryption, 2021.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Tenseal: A library for encrypted tensor operations using homomorphic encryption, 2021

Reference 20

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:39.850504Z digest=sha256:2094784b11e61f9f17b31d8972b3d5f209dc63253633acc7f998e291d25a81b1

Observation becca85e-b1d4-43e4-a23d-703db892750e · outbound

This paper cites an unresolved cited work.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Unresolved cited work

Reference 21

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verified exact
doi, observed 2026-08-03T00:48:41.490615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-03T00:43:39.967280Z digest=sha256:3249c6d60de0008666beb5418fddc46e6ba04dd49761698c7f337ef5fb147626

Observation cfd24994-d475-4f47-b6b4-042f94accbcc · outbound

This paper cites Short signatures from the Weil pairing.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Short signatures from the Weil pairing

Reference 22

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-03T00:43:40.090514Z digest=sha256:9e09e5bdddfeeb19dca7a34ed8accc50251f754457333afd61c49ea76fdaef42

Observation 34c4b3f9-bf32-4bfa-ad4b-ce720977d54e · outbound

This paper cites Pairings are not dead, just resting.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Pairings are not dead, just resting

Reference 23

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no resolver link, observed 2026-08-03T00:43:40.179370Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:40.179370Z digest=sha256:21b5b6b13c75e2618e33f5b50bd8abd96203dc808c9df7dbc0463f4e71cfab9e

Observation 278402ef-08ce-425e-808a-678aade10903 · outbound

This paper cites Encrypted Vector Similarity Computations Using Partially Homomorphic Encryption: Applications and Performance Analysis.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Encrypted Vector Similarity Computations Using Partially Homomorphic Encryption: Applications and Performance Analysis

Reference 24

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local_arxiv, observed 2026-08-03T00:48:41.316381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-03T00:43:40.361480Z digest=sha256:3baf664c3714e5dc6aa1e3062559a76ecd534e369e00e6d78ddf753041e5cf21

Observation 01fb3d93-bc5a-4ea2-ba9d-3963d226123b · outbound

This paper cites CipherFace: A Fully Homomorphic Encryption-Driven Framework for Secure Cloud-Based Facial Recognition.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem CipherFace: A Fully Homomorphic Encryption-Driven Framework for Secure Cloud-Based Facial Recognition

Reference 25

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verified exact
local_arxiv, observed 2026-08-03T00:48:41.197063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-03T00:43:40.507718Z digest=sha256:f602e03876c566271ac7095fbdff024cd93a2f4b9fc75850ee21898b9380cdf4

Observation 09eedafa-f7b8-4191-b291-21ccf9bf7021 · outbound

This paper cites Labeled faces in the wild: A database for studying face recognition in unconstrained environments.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Labeled faces in the wild: A database for studying face recognition in unconstrained environments

Reference 26

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:40.582902Z digest=sha256:cd64d8fb501820b00f90132513e33f9d5960bcfe0ba387e58a327d0376ec35e4

Observation 60c1bdf7-60d9-4992-a4cd-7d894de8b9fa · outbound

This paper cites Facenet: A unified embedding for face recognition and clustering.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Facenet: A unified embedding for face recognition and clustering

Reference 27

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no resolver link, observed 2026-08-03T00:43:40.713354Z

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source=pdf_text observed=2026-08-03T00:43:40.713354Z digest=sha256:f8c7a22767c1b140dc4c980420013b018157a53d4798a51051cbf9f3e3726090

Observation 96b7185d-5574-44bd-b7f0-fe98f1282d19 · outbound

This paper cites Lightface: A hybrid deep face recognition framework.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem Lightface: A hybrid deep face recognition framework

Reference 28

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:43:40.839412Z digest=sha256:31d5daf7c66aa7903ce1be03c2f26c41e2b08b7b653b8b3956e407282d7301cd

Observation 4900d975-5a19-4c33-aac5-d2f5c48bf272 · outbound

This paper cites On ideal lattices and learning with errors over rings.

Bridging the Gap Between PHE and FHE: A Performance and Trade-off Analysis of The Somewhat Homomorphic BGN Cryptosystem On ideal lattices and learning with errors over rings

Reference 29

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source=pdf_text observed=2026-08-03T00:43:40.914001Z digest=sha256:a02cfbe33fcb39d3545b82160debfe3e5b5234aebe13239754a02938c6efbe01

Pith citing papers

No inbound Pith citation observations are available.