{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:EMFHEPTIHPIHC2B6NWVM6WTEA2","short_pith_number":"pith:EMFHEPTI","canonical_record":{"source":{"id":"2006.13143","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-06-23T16:38:37Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"7179164f95cf3083dc107faecfc142dea819ba34e3d625bb38c1e667c5e52a2f","abstract_canon_sha256":"92c8c51c416589239457d59d7f2bb4a4b2402150cde3c5ae6e5fe56e40115946"},"schema_version":"1.0"},"canonical_sha256":"230a723e683bd071683e6daacf5a64068a04d696e9b541f3fa72e76e349f1e3c","source":{"kind":"arxiv","id":"2006.13143","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.13143","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"2006.13143v1","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13143","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"EMFHEPTIHPIH","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"pith_short_16","alias_value":"EMFHEPTIHPIHC2B6","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"pith_short_8","alias_value":"EMFHEPTI","created_at":"2026-07-05T02:35:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:EMFHEPTIHPIHC2B6NWVM6WTEA2","target":"record","payload":{"canonical_record":{"source":{"id":"2006.13143","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-06-23T16:38:37Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"7179164f95cf3083dc107faecfc142dea819ba34e3d625bb38c1e667c5e52a2f","abstract_canon_sha256":"92c8c51c416589239457d59d7f2bb4a4b2402150cde3c5ae6e5fe56e40115946"},"schema_version":"1.0"},"canonical_sha256":"230a723e683bd071683e6daacf5a64068a04d696e9b541f3fa72e76e349f1e3c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:35:14.792251Z","signature_b64":"pvx/fZaG27F4Sbvyv7BtPj6OrKVG/n1be1t8p28KShQqcpnSWVfiIdaPpEbC3y0P4z/MdNFPhUCmO6YkAKSpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"230a723e683bd071683e6daacf5a64068a04d696e9b541f3fa72e76e349f1e3c","last_reissued_at":"2026-07-05T02:35:14.791767Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:35:14.791767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.13143","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vXucxI8RW240O93AKQ6xUc3bjtCMj2X33iu2Nm6BDskilFGN5OwnQX1zm0E+qe0EznDtDoQXAzGYJgM7KTlNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:13:25.113847Z"},"content_sha256":"3fddf6d817ee8f0b3e378c5bda476e9817f65e6f14fb685aeffebd3d994edf20","schema_version":"1.0","event_id":"sha256:3fddf6d817ee8f0b3e378c5bda476e9817f65e6f14fb685aeffebd3d994edf20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:EMFHEPTIHPIHC2B6NWVM6WTEA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gaussian Continuous Tensor Network States for Simple Bosonic Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Antoine Tilloy, Patrick Emonts, Teresa D. Karanikolaou","submitted_at":"2020-06-23T16:38:37Z","abstract_excerpt":"Tensor networks states allow to find the low energy states of local lattice Hamiltonians through variational optimization. Recently, a construction of such states in the continuum was put forward, providing a first step towards the goal of solving quantum field theories (QFTs) variationally. However, the proposed manifold of continuous tensor network states (CTNSs) is difficult to study in full generality, because the expectation values of local observables cannot be computed analytically. In this paper, we study a tractable subclass of CTNSs, the Gaussian CTNSs (GCTNSs), and benchmark them on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13143","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.13143/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYTfSnJF0MqRQEh36yBDsEKDsRpA4y7qUs8lO4lcPbETE9ACaNdjYCeD/Ur7i1bWW08QkGgOivdgi9YXHTWACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:13:25.114350Z"},"content_sha256":"5ac464cdec0bec1e6f9aa16ba189ee4c4620cf650f6214642e16a5fb8cbf7749","schema_version":"1.0","event_id":"sha256:5ac464cdec0bec1e6f9aa16ba189ee4c4620cf650f6214642e16a5fb8cbf7749"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EMFHEPTIHPIHC2B6NWVM6WTEA2/bundle.json","state_url":"https://pith.science/pith/EMFHEPTIHPIHC2B6NWVM6WTEA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EMFHEPTIHPIHC2B6NWVM6WTEA2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-15T15:13:25Z","links":{"resolver":"https://pith.science/pith/EMFHEPTIHPIHC2B6NWVM6WTEA2","bundle":"https://pith.science/pith/EMFHEPTIHPIHC2B6NWVM6WTEA2/bundle.json","state":"https://pith.science/pith/EMFHEPTIHPIHC2B6NWVM6WTEA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EMFHEPTIHPIHC2B6NWVM6WTEA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:EMFHEPTIHPIHC2B6NWVM6WTEA2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"92c8c51c416589239457d59d7f2bb4a4b2402150cde3c5ae6e5fe56e40115946","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-06-23T16:38:37Z","title_canon_sha256":"7179164f95cf3083dc107faecfc142dea819ba34e3d625bb38c1e667c5e52a2f"},"schema_version":"1.0","source":{"id":"2006.13143","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.13143","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"2006.13143v1","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13143","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"EMFHEPTIHPIH","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"pith_short_16","alias_value":"EMFHEPTIHPIHC2B6","created_at":"2026-07-05T02:35:14Z"},{"alias_kind":"pith_short_8","alias_value":"EMFHEPTI","created_at":"2026-07-05T02:35:14Z"}],"graph_snapshots":[{"event_id":"sha256:5ac464cdec0bec1e6f9aa16ba189ee4c4620cf650f6214642e16a5fb8cbf7749","target":"graph","created_at":"2026-07-05T02:35:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.13143/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Tensor networks states allow to find the low energy states of local lattice Hamiltonians through variational optimization. Recently, a construction of such states in the continuum was put forward, providing a first step towards the goal of solving quantum field theories (QFTs) variationally. However, the proposed manifold of continuous tensor network states (CTNSs) is difficult to study in full generality, because the expectation values of local observables cannot be computed analytically. In this paper, we study a tractable subclass of CTNSs, the Gaussian CTNSs (GCTNSs), and benchmark them on","authors_text":"Antoine Tilloy, Patrick Emonts, Teresa D. Karanikolaou","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-06-23T16:38:37Z","title":"Gaussian Continuous Tensor Network States for Simple Bosonic Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13143","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3fddf6d817ee8f0b3e378c5bda476e9817f65e6f14fb685aeffebd3d994edf20","target":"record","created_at":"2026-07-05T02:35:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"92c8c51c416589239457d59d7f2bb4a4b2402150cde3c5ae6e5fe56e40115946","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-06-23T16:38:37Z","title_canon_sha256":"7179164f95cf3083dc107faecfc142dea819ba34e3d625bb38c1e667c5e52a2f"},"schema_version":"1.0","source":{"id":"2006.13143","kind":"arxiv","version":1}},"canonical_sha256":"230a723e683bd071683e6daacf5a64068a04d696e9b541f3fa72e76e349f1e3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"230a723e683bd071683e6daacf5a64068a04d696e9b541f3fa72e76e349f1e3c","first_computed_at":"2026-07-05T02:35:14.791767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:35:14.791767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pvx/fZaG27F4Sbvyv7BtPj6OrKVG/n1be1t8p28KShQqcpnSWVfiIdaPpEbC3y0P4z/MdNFPhUCmO6YkAKSpAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:35:14.792251Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.13143","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fddf6d817ee8f0b3e378c5bda476e9817f65e6f14fb685aeffebd3d994edf20","sha256:5ac464cdec0bec1e6f9aa16ba189ee4c4620cf650f6214642e16a5fb8cbf7749"],"state_sha256":"89b3183fd677eb393ed72de06165ded0d59344a96ba9e71f189a84b2beebc161"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ny2p4Dxl3U65KhTYK0GUA3dGPCeT2jLlNBOKY0YJNaAuqmEDtEacm1RqKBCCkeT6mLtQDy2cITLfQir7TzOPBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T15:13:25.119267Z","bundle_sha256":"2f0079fb002f906121d169bdd0f41ef0acfbe34316b75ab301a32c74a1f95142"}}