{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:BRF6KL4YMDAK6PZX4F54WGUECG","short_pith_number":"pith:BRF6KL4Y","canonical_record":{"source":{"id":"2606.12928","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2026-06-11T05:42:57Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.comp-ph","quant-ph"],"title_canon_sha256":"5679a66a719af0f0ac3e1bb36be408733a85ab7ebaa920eb774f77cb20441279","abstract_canon_sha256":"8aee7751b2a0b510e1a99e07ba6c594d338b29768e34d7e7c7abf859b64cd606"},"schema_version":"1.0"},"canonical_sha256":"0c4be52f9860c0af3f37e17bcb1a8411af2d67d3953091cb9bdd107b8de02ffe","source":{"kind":"arxiv","id":"2606.12928","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12928","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12928v1","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12928","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"pith_short_12","alias_value":"BRF6KL4YMDAK","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"pith_short_16","alias_value":"BRF6KL4YMDAK6PZX","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"pith_short_8","alias_value":"BRF6KL4Y","created_at":"2026-06-12T01:09:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:BRF6KL4YMDAK6PZX4F54WGUECG","target":"record","payload":{"canonical_record":{"source":{"id":"2606.12928","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2026-06-11T05:42:57Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.comp-ph","quant-ph"],"title_canon_sha256":"5679a66a719af0f0ac3e1bb36be408733a85ab7ebaa920eb774f77cb20441279","abstract_canon_sha256":"8aee7751b2a0b510e1a99e07ba6c594d338b29768e34d7e7c7abf859b64cd606"},"schema_version":"1.0"},"canonical_sha256":"0c4be52f9860c0af3f37e17bcb1a8411af2d67d3953091cb9bdd107b8de02ffe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:09:34.667540Z","signature_b64":"T4/sC+PbkpG+Bfa3aJdeO6FK0ac2aPOPTtVy4PN4u3v2L8gOnR4gIofbPQ63U4XioSFmsuIk/Kglm9Zo/w+8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c4be52f9860c0af3f37e17bcb1a8411af2d67d3953091cb9bdd107b8de02ffe","last_reissued_at":"2026-06-12T01:09:34.667079Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:09:34.667079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.12928","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":"2026-06-12T01:09:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RoJndfHIMjebjyFCZRSOxFbAU/ZyOSw4rFx9F6GvoEnTg4Op9lk80nDQ3tXsclBawroT6mUhD6uUVGG6HkpAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T13:27:15.457783Z"},"content_sha256":"f2232d05c2b4d40b40c2cdce1ad6244e5e0afaab0e57740c3204a15743a15ed0","schema_version":"1.0","event_id":"sha256:f2232d05c2b4d40b40c2cdce1ad6244e5e0afaab0e57740c3204a15743a15ed0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:BRF6KL4YMDAK6PZX4F54WGUECG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuum Neural Momentum Eigenstate for Variationally Solving Quasiparticles","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.str-el","physics.comp-ph","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"David D. Dai, Marin Solja\\v{c}i\\'c","submitted_at":"2026-06-11T05:42:57Z","abstract_excerpt":"We design the first neural quantum state for continuum particles that, for any chosen allowed momentum $\\mathbf{k}$, is by construction an exact eigenstate of total momentum with eigenvalue $\\mathbf{k}$. Our architecture, EVE, enables off-the-shelf VMC to solve for momentum-sector ground states. We test EVE on 2D bosons with mutual $1/r$ interactions, finding that a single unified ansatz is capable of describing four qualitatively different states: superfluid, roton, crystal, and phonon. At different densities, we extract the underlying phase of matter from the dispersion's shape. At $r_s = 20"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12928","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/2606.12928/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":"2026-06-12T01:09:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XHW+BWeHt5aBtIPsbbMv8wCxaHA78IlmsEENnFbDIxpTUUY2vrwD1ZfzsXc17yPGU4lj0Sx4ZPYiWXnRwiUFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T13:27:15.458144Z"},"content_sha256":"440d0ea5677337cff9cc89ec91096a5e3bc19c822d491836fd5c797dce2420e8","schema_version":"1.0","event_id":"sha256:440d0ea5677337cff9cc89ec91096a5e3bc19c822d491836fd5c797dce2420e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BRF6KL4YMDAK6PZX4F54WGUECG/bundle.json","state_url":"https://pith.science/pith/BRF6KL4YMDAK6PZX4F54WGUECG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BRF6KL4YMDAK6PZX4F54WGUECG/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":"2026-06-29T13:27:15Z","links":{"resolver":"https://pith.science/pith/BRF6KL4YMDAK6PZX4F54WGUECG","bundle":"https://pith.science/pith/BRF6KL4YMDAK6PZX4F54WGUECG/bundle.json","state":"https://pith.science/pith/BRF6KL4YMDAK6PZX4F54WGUECG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BRF6KL4YMDAK6PZX4F54WGUECG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BRF6KL4YMDAK6PZX4F54WGUECG","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":"8aee7751b2a0b510e1a99e07ba6c594d338b29768e34d7e7c7abf859b64cd606","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.comp-ph","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2026-06-11T05:42:57Z","title_canon_sha256":"5679a66a719af0f0ac3e1bb36be408733a85ab7ebaa920eb774f77cb20441279"},"schema_version":"1.0","source":{"id":"2606.12928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12928","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12928v1","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12928","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"pith_short_12","alias_value":"BRF6KL4YMDAK","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"pith_short_16","alias_value":"BRF6KL4YMDAK6PZX","created_at":"2026-06-12T01:09:34Z"},{"alias_kind":"pith_short_8","alias_value":"BRF6KL4Y","created_at":"2026-06-12T01:09:34Z"}],"graph_snapshots":[{"event_id":"sha256:440d0ea5677337cff9cc89ec91096a5e3bc19c822d491836fd5c797dce2420e8","target":"graph","created_at":"2026-06-12T01:09:34Z","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/2606.12928/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We design the first neural quantum state for continuum particles that, for any chosen allowed momentum $\\mathbf{k}$, is by construction an exact eigenstate of total momentum with eigenvalue $\\mathbf{k}$. Our architecture, EVE, enables off-the-shelf VMC to solve for momentum-sector ground states. We test EVE on 2D bosons with mutual $1/r$ interactions, finding that a single unified ansatz is capable of describing four qualitatively different states: superfluid, roton, crystal, and phonon. At different densities, we extract the underlying phase of matter from the dispersion's shape. At $r_s = 20","authors_text":"David D. Dai, Marin Solja\\v{c}i\\'c","cross_cats":["cond-mat.dis-nn","cond-mat.str-el","physics.comp-ph","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2026-06-11T05:42:57Z","title":"Continuum Neural Momentum Eigenstate for Variationally Solving Quasiparticles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12928","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:f2232d05c2b4d40b40c2cdce1ad6244e5e0afaab0e57740c3204a15743a15ed0","target":"record","created_at":"2026-06-12T01:09:34Z","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":"8aee7751b2a0b510e1a99e07ba6c594d338b29768e34d7e7c7abf859b64cd606","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.comp-ph","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2026-06-11T05:42:57Z","title_canon_sha256":"5679a66a719af0f0ac3e1bb36be408733a85ab7ebaa920eb774f77cb20441279"},"schema_version":"1.0","source":{"id":"2606.12928","kind":"arxiv","version":1}},"canonical_sha256":"0c4be52f9860c0af3f37e17bcb1a8411af2d67d3953091cb9bdd107b8de02ffe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c4be52f9860c0af3f37e17bcb1a8411af2d67d3953091cb9bdd107b8de02ffe","first_computed_at":"2026-06-12T01:09:34.667079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:09:34.667079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T4/sC+PbkpG+Bfa3aJdeO6FK0ac2aPOPTtVy4PN4u3v2L8gOnR4gIofbPQ63U4XioSFmsuIk/Kglm9Zo/w+8CA==","signature_status":"signed_v1","signed_at":"2026-06-12T01:09:34.667540Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.12928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2232d05c2b4d40b40c2cdce1ad6244e5e0afaab0e57740c3204a15743a15ed0","sha256:440d0ea5677337cff9cc89ec91096a5e3bc19c822d491836fd5c797dce2420e8"],"state_sha256":"5818612613a7e0a1dd1a1ecccfaedb99ff70d719cd01f068a59a51bb8950dad4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hspENLTiH3RDxHv+70cXhFzhcREG/GzRY1eltGWsCn+wYQ7SW0mh3DOO89N3ny/35K0rg8bkrraCch58bVFSBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T13:27:15.460042Z","bundle_sha256":"bcf10c8e2e779f5ed4efb63bb1b43005b749d54d75bc7d5d1c9da103b6ef202e"}}