{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AJC35IICKCSMIZASAIMWDVJVHN","short_pith_number":"pith:AJC35IIC","canonical_record":{"source":{"id":"2607.19870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:55:21Z","cross_cats_sorted":[],"title_canon_sha256":"b235957d9d620f3f9c0cc35c18cffd9ac970ab94e38c1632187a60e02e26da53","abstract_canon_sha256":"99365214e4f8a8b2e40c476646fb4114d029e59eecae04719a24fbdb5f14f58e"},"schema_version":"1.0"},"canonical_sha256":"0245bea10250a4c46412021961d5353b57178f6c8d92a9b235f9e6e50ce936c7","source":{"kind":"arxiv","id":"2607.19870","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19870","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19870v1","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19870","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"AJC35IICKCSM","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"pith_short_16","alias_value":"AJC35IICKCSMIZAS","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"pith_short_8","alias_value":"AJC35IIC","created_at":"2026-07-23T01:24:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AJC35IICKCSMIZASAIMWDVJVHN","target":"record","payload":{"canonical_record":{"source":{"id":"2607.19870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:55:21Z","cross_cats_sorted":[],"title_canon_sha256":"b235957d9d620f3f9c0cc35c18cffd9ac970ab94e38c1632187a60e02e26da53","abstract_canon_sha256":"99365214e4f8a8b2e40c476646fb4114d029e59eecae04719a24fbdb5f14f58e"},"schema_version":"1.0"},"canonical_sha256":"0245bea10250a4c46412021961d5353b57178f6c8d92a9b235f9e6e50ce936c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T01:24:04.913886Z","signature_b64":"m9S+KDoKFLVhBnohy+/Z1Zi+tevbNOLXdWe0p+9PRrwg8UFn2AsK/cOBmSe6XGFjLQIDktedrVVdNqdJOUbdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0245bea10250a4c46412021961d5353b57178f6c8d92a9b235f9e6e50ce936c7","last_reissued_at":"2026-07-23T01:24:04.913061Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T01:24:04.913061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.19870","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":"2026-07-23T01:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"08V3gQG46UbQQyoCl/jGZqZ7m5tFcsJw+gq7Iv8eAYJyenIYbNqCkBiiR/R2q/JiHekq7melgtaFtjF1AUSrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:59:46.712820Z"},"content_sha256":"ee3f20318a54eaa3070585bdd2192ac7682cca345627a8ff0d32d973e681cb49","schema_version":"1.0","event_id":"sha256:ee3f20318a54eaa3070585bdd2192ac7682cca345627a8ff0d32d973e681cb49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AJC35IICKCSMIZASAIMWDVJVHN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergent boundary-memory from unitarity constraints in a minimal two interacting quantum particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ibrahim Yahaya Muhammad, Monsit Tanasittikosol, Tanapat Deesuwan","submitted_at":"2026-07-22T07:55:21Z","abstract_excerpt":"We construct a simple model of two particles mutually attracting/repulsing in a one-dimensional lattice and investigate the corresponding dynamics. We show that enforcing reversible unitary evolution on a minimal direct-motion interaction rule necessarily gives rise to emergent boundary-memory and non-trivial dynamics. Remarkably, the resulting boundary-memory leads to event-horizon-like behaviour, entanglement between subsystem, and Page-curve-like entanglement dynamics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19870","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/2607.19870/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":"2026-07-23T01:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yFJLwNeENV9Ggk0KcRM4ALy9+rEIhNHHui9WJvrux8f+fHbCKF3AHhNzTLsy4/B++hz70uyT6Vc9u9CMgYNjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:59:46.713380Z"},"content_sha256":"06fe83e9b7ad199a0aa60716c8ab34228876f00a7a70873cd5e7843e4bf81e0f","schema_version":"1.0","event_id":"sha256:06fe83e9b7ad199a0aa60716c8ab34228876f00a7a70873cd5e7843e4bf81e0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJC35IICKCSMIZASAIMWDVJVHN/bundle.json","state_url":"https://pith.science/pith/AJC35IICKCSMIZASAIMWDVJVHN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJC35IICKCSMIZASAIMWDVJVHN/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":"2026-08-12T20:59:46Z","links":{"resolver":"https://pith.science/pith/AJC35IICKCSMIZASAIMWDVJVHN","bundle":"https://pith.science/pith/AJC35IICKCSMIZASAIMWDVJVHN/bundle.json","state":"https://pith.science/pith/AJC35IICKCSMIZASAIMWDVJVHN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJC35IICKCSMIZASAIMWDVJVHN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AJC35IICKCSMIZASAIMWDVJVHN","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":"99365214e4f8a8b2e40c476646fb4114d029e59eecae04719a24fbdb5f14f58e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:55:21Z","title_canon_sha256":"b235957d9d620f3f9c0cc35c18cffd9ac970ab94e38c1632187a60e02e26da53"},"schema_version":"1.0","source":{"id":"2607.19870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19870","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19870v1","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19870","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"AJC35IICKCSM","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"pith_short_16","alias_value":"AJC35IICKCSMIZAS","created_at":"2026-07-23T01:24:04Z"},{"alias_kind":"pith_short_8","alias_value":"AJC35IIC","created_at":"2026-07-23T01:24:04Z"}],"graph_snapshots":[{"event_id":"sha256:06fe83e9b7ad199a0aa60716c8ab34228876f00a7a70873cd5e7843e4bf81e0f","target":"graph","created_at":"2026-07-23T01:24:04Z","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/2607.19870/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a simple model of two particles mutually attracting/repulsing in a one-dimensional lattice and investigate the corresponding dynamics. We show that enforcing reversible unitary evolution on a minimal direct-motion interaction rule necessarily gives rise to emergent boundary-memory and non-trivial dynamics. Remarkably, the resulting boundary-memory leads to event-horizon-like behaviour, entanglement between subsystem, and Page-curve-like entanglement dynamics.","authors_text":"Ibrahim Yahaya Muhammad, Monsit Tanasittikosol, Tanapat Deesuwan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:55:21Z","title":"Emergent boundary-memory from unitarity constraints in a minimal two interacting quantum particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19870","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:ee3f20318a54eaa3070585bdd2192ac7682cca345627a8ff0d32d973e681cb49","target":"record","created_at":"2026-07-23T01:24:04Z","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":"99365214e4f8a8b2e40c476646fb4114d029e59eecae04719a24fbdb5f14f58e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-22T07:55:21Z","title_canon_sha256":"b235957d9d620f3f9c0cc35c18cffd9ac970ab94e38c1632187a60e02e26da53"},"schema_version":"1.0","source":{"id":"2607.19870","kind":"arxiv","version":1}},"canonical_sha256":"0245bea10250a4c46412021961d5353b57178f6c8d92a9b235f9e6e50ce936c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0245bea10250a4c46412021961d5353b57178f6c8d92a9b235f9e6e50ce936c7","first_computed_at":"2026-07-23T01:24:04.913061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T01:24:04.913061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m9S+KDoKFLVhBnohy+/Z1Zi+tevbNOLXdWe0p+9PRrwg8UFn2AsK/cOBmSe6XGFjLQIDktedrVVdNqdJOUbdBA==","signature_status":"signed_v1","signed_at":"2026-07-23T01:24:04.913886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee3f20318a54eaa3070585bdd2192ac7682cca345627a8ff0d32d973e681cb49","sha256:06fe83e9b7ad199a0aa60716c8ab34228876f00a7a70873cd5e7843e4bf81e0f"],"state_sha256":"a6a2872c95a3948cc3f576754a2772c8e2136287aca54ecbaf60329451e5c8b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xlUQ93Ul5RwI262CTAA4MkwDGynV/YdouojTem4riPeNHMF6KrNUJab0evXxPXqxhVa8qGa2aZFYl/pB86vCDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T20:59:46.718635Z","bundle_sha256":"71615f1d21954b4760ed1085cf345642cb18bd215515a712f60642c57fcbc326"}}