{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NPKC7IYCXUOD3HXVNTQWUF4RUD","short_pith_number":"pith:NPKC7IYC","canonical_record":{"source":{"id":"2608.06072","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T14:15:59Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"44753398e5d91139954a7cbdb24873bdb814de39f5fcbf1d43ce6b993a4637d9","abstract_canon_sha256":"be1d809cc6241059792895121b9dd693b2fce13a398e945b15906d60a88f41a8"},"schema_version":"1.0"},"canonical_sha256":"6bd42fa302bd1c3d9ef56ce16a1791a0e75e32a73e85e381a30bfe9c61329362","source":{"kind":"arxiv","id":"2608.06072","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.06072","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"2608.06072v1","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06072","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"NPKC7IYCXUOD","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"pith_short_16","alias_value":"NPKC7IYCXUOD3HXV","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"pith_short_8","alias_value":"NPKC7IYC","created_at":"2026-08-07T01:40:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NPKC7IYCXUOD3HXVNTQWUF4RUD","target":"record","payload":{"canonical_record":{"source":{"id":"2608.06072","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T14:15:59Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"44753398e5d91139954a7cbdb24873bdb814de39f5fcbf1d43ce6b993a4637d9","abstract_canon_sha256":"be1d809cc6241059792895121b9dd693b2fce13a398e945b15906d60a88f41a8"},"schema_version":"1.0"},"canonical_sha256":"6bd42fa302bd1c3d9ef56ce16a1791a0e75e32a73e85e381a30bfe9c61329362","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T01:40:28.940963Z","signature_b64":"3Ppbx+iqNnSxxzlaMbudjaVZGEx+6ZwQmfRLciyciUns7ge35s7e0fN+KsZ+opLHqGUdh8mzCnfAtvudBCx2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bd42fa302bd1c3d9ef56ce16a1791a0e75e32a73e85e381a30bfe9c61329362","last_reissued_at":"2026-08-07T01:40:28.939046Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T01:40:28.939046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.06072","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":"2026-08-07T01:40:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jyRCW/AqeSXFrlUcAQGL0YOzsilXuIif84WeP7zm5mj9A6TidaIzk/kE8PCbP/q+HefJFAprMw+CfYPDoEKWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:36:51.295619Z"},"content_sha256":"d72480486f50b6ceda129577a299cdb9ff1fa466bd49a7040eeda6a16aef2172","schema_version":"1.0","event_id":"sha256:d72480486f50b6ceda129577a299cdb9ff1fa466bd49a7040eeda6a16aef2172"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NPKC7IYCXUOD3HXVNTQWUF4RUD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Balanced Routing for Symmetric Quantum Circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"Samuel Punch","submitted_at":"2026-08-06T14:15:59Z","abstract_excerpt":"Mapping quantum programs to restricted physical chips requires SWAP operations, incurring depth and error penalties. In symmetric programs, this routing overhead breaks theoretical symmetry because identical logical roles experience unequal shuffling. While often attributed to hardware topology alone, we show this is a two-level phenomenon. A qubit patch's shape dictates if it can host a balanced assignment. When balance is possible, the actual imbalance is set by the logical-to-physical assignment, meaning a balanced assignment can distribute routing costs perfectly evenly at no extra depth. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06072","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/2608.06072/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":"2026-08-07T01:40:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0Gf42IK7CdwkuQr31NGbrLGRrvEdPOZKIIlaW6YmpuAHvBoZr0J6yOLPLyh2qFn3wWAgnkimblvCv/ZzuyYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:36:51.296619Z"},"content_sha256":"03d6846785188e9d40d704f11bca04abee7d1dcc665557af9c93cacb90ad690f","schema_version":"1.0","event_id":"sha256:03d6846785188e9d40d704f11bca04abee7d1dcc665557af9c93cacb90ad690f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NPKC7IYCXUOD3HXVNTQWUF4RUD/bundle.json","state_url":"https://pith.science/pith/NPKC7IYCXUOD3HXVNTQWUF4RUD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NPKC7IYCXUOD3HXVNTQWUF4RUD/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":"2026-08-13T13:36:51Z","links":{"resolver":"https://pith.science/pith/NPKC7IYCXUOD3HXVNTQWUF4RUD","bundle":"https://pith.science/pith/NPKC7IYCXUOD3HXVNTQWUF4RUD/bundle.json","state":"https://pith.science/pith/NPKC7IYCXUOD3HXVNTQWUF4RUD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NPKC7IYCXUOD3HXVNTQWUF4RUD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NPKC7IYCXUOD3HXVNTQWUF4RUD","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":"be1d809cc6241059792895121b9dd693b2fce13a398e945b15906d60a88f41a8","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T14:15:59Z","title_canon_sha256":"44753398e5d91139954a7cbdb24873bdb814de39f5fcbf1d43ce6b993a4637d9"},"schema_version":"1.0","source":{"id":"2608.06072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.06072","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"2608.06072v1","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06072","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"NPKC7IYCXUOD","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"pith_short_16","alias_value":"NPKC7IYCXUOD3HXV","created_at":"2026-08-07T01:40:28Z"},{"alias_kind":"pith_short_8","alias_value":"NPKC7IYC","created_at":"2026-08-07T01:40:28Z"}],"graph_snapshots":[{"event_id":"sha256:03d6846785188e9d40d704f11bca04abee7d1dcc665557af9c93cacb90ad690f","target":"graph","created_at":"2026-08-07T01:40:28Z","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/2608.06072/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Mapping quantum programs to restricted physical chips requires SWAP operations, incurring depth and error penalties. In symmetric programs, this routing overhead breaks theoretical symmetry because identical logical roles experience unequal shuffling. While often attributed to hardware topology alone, we show this is a two-level phenomenon. A qubit patch's shape dictates if it can host a balanced assignment. When balance is possible, the actual imbalance is set by the logical-to-physical assignment, meaning a balanced assignment can distribute routing costs perfectly evenly at no extra depth. ","authors_text":"Samuel Punch","cross_cats":["cs.ET"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T14:15:59Z","title":"Balanced Routing for Symmetric Quantum Circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06072","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:d72480486f50b6ceda129577a299cdb9ff1fa466bd49a7040eeda6a16aef2172","target":"record","created_at":"2026-08-07T01:40:28Z","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":"be1d809cc6241059792895121b9dd693b2fce13a398e945b15906d60a88f41a8","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-06T14:15:59Z","title_canon_sha256":"44753398e5d91139954a7cbdb24873bdb814de39f5fcbf1d43ce6b993a4637d9"},"schema_version":"1.0","source":{"id":"2608.06072","kind":"arxiv","version":1}},"canonical_sha256":"6bd42fa302bd1c3d9ef56ce16a1791a0e75e32a73e85e381a30bfe9c61329362","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bd42fa302bd1c3d9ef56ce16a1791a0e75e32a73e85e381a30bfe9c61329362","first_computed_at":"2026-08-07T01:40:28.939046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T01:40:28.939046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Ppbx+iqNnSxxzlaMbudjaVZGEx+6ZwQmfRLciyciUns7ge35s7e0fN+KsZ+opLHqGUdh8mzCnfAtvudBCx2Aw==","signature_status":"signed_v1","signed_at":"2026-08-07T01:40:28.940963Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.06072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d72480486f50b6ceda129577a299cdb9ff1fa466bd49a7040eeda6a16aef2172","sha256:03d6846785188e9d40d704f11bca04abee7d1dcc665557af9c93cacb90ad690f"],"state_sha256":"52018045eaf8e6fa136cc08a84a27bc11dc7ed22cd3417f583ff456d527a6c6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Iq0geX106Ho9rKRzdLAERRuWmKddPe9xWX9w0dujZBaolIlgjy78W2Ge9X2qCV0fuQF5aKsTarvekwMlq4xBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T13:36:51.304208Z","bundle_sha256":"7309e1a693c3eb7c8593642ad0542a7e9f712054dec302704c81b7ebe6ad042d"}}