{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ECYYOOCCUYJJJISOCRCPZAWR6M","short_pith_number":"pith:ECYYOOCC","canonical_record":{"source":{"id":"1502.05339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-15T12:51:22Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"40c05f075722fb31d7cdfc0e89e347ed73c024cc2f3c23167f2265eefec7682a","abstract_canon_sha256":"24f173f9c4cb7dbe2fdf25c2427ebe625ed37c058473d4611a0ea4c83a0b60f7"},"schema_version":"1.0"},"canonical_sha256":"20b1873842a61294a24e1444fc82d1f31051fe3d1b8e9902be812355f9d4a4ae","source":{"kind":"arxiv","id":"1502.05339","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05339","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05339v1","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05339","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"pith_short_12","alias_value":"ECYYOOCCUYJJ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ECYYOOCCUYJJJISO","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ECYYOOCC","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ECYYOOCCUYJJJISOCRCPZAWR6M","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-15T12:51:22Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"40c05f075722fb31d7cdfc0e89e347ed73c024cc2f3c23167f2265eefec7682a","abstract_canon_sha256":"24f173f9c4cb7dbe2fdf25c2427ebe625ed37c058473d4611a0ea4c83a0b60f7"},"schema_version":"1.0"},"canonical_sha256":"20b1873842a61294a24e1444fc82d1f31051fe3d1b8e9902be812355f9d4a4ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:50.465285Z","signature_b64":"+kfA4HUt7iCwdm+nRmCUmktpwWx/aK0r+387MLePBbgLO/Pb5RTLfx0xmxh9/zeHeVJ8wuihF4+b8X3j04k9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20b1873842a61294a24e1444fc82d1f31051fe3d1b8e9902be812355f9d4a4ae","last_reissued_at":"2026-05-18T01:34:50.464887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:50.464887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05339","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":"2026-05-18T01:34:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mrhLlPGEcaPm/cE2kTXnmPEjDjQcQuIUBH1pfxol8EMuMBq8vyH2TuxRRP6LCoy7nnCGo9TrbEj/fbgWHWO+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:15:09.789150Z"},"content_sha256":"c8081d55ca72ea94dc98788bcd9e3a70210088f7712ef9d57da8f4dc0a73a2f6","schema_version":"1.0","event_id":"sha256:c8081d55ca72ea94dc98788bcd9e3a70210088f7712ef9d57da8f4dc0a73a2f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ECYYOOCCUYJJJISOCRCPZAWR6M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry as a foundational concept in Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Houri Ziaeepour","submitted_at":"2015-02-15T12:51:22Z","abstract_excerpt":"Symmetries are widely used in modeling quantum systems but they do not contribute in postulates of quantum mechanics. Here we argue that logical, mathematical, and observational evidence require that symmetry should be considered as a fundamental concept in the construction of physical systems. Based on this idea, we propose a series of postulates for describing quantum systems, and establish their relation and correspondence with axioms of standard quantum mechanics. Through some examples we show that this reformulation helps better understand some of ambiguities of standard description. None"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05339","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":""},"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":"2026-05-18T01:34:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COkkhmVpzaaDKV59bhSPSrnUunmUR1uoLuN3bcfZ1glwBcs6N2I0GKDO/UibgQ2Vc7t8ToI38hdHMzDclcPcDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:15:09.789672Z"},"content_sha256":"be380bcf5909d8adc67dc3abaa894d21eea1f0fa6417832d467183b3c14de3b4","schema_version":"1.0","event_id":"sha256:be380bcf5909d8adc67dc3abaa894d21eea1f0fa6417832d467183b3c14de3b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ECYYOOCCUYJJJISOCRCPZAWR6M/bundle.json","state_url":"https://pith.science/pith/ECYYOOCCUYJJJISOCRCPZAWR6M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ECYYOOCCUYJJJISOCRCPZAWR6M/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":"2026-05-25T21:15:09Z","links":{"resolver":"https://pith.science/pith/ECYYOOCCUYJJJISOCRCPZAWR6M","bundle":"https://pith.science/pith/ECYYOOCCUYJJJISOCRCPZAWR6M/bundle.json","state":"https://pith.science/pith/ECYYOOCCUYJJJISOCRCPZAWR6M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ECYYOOCCUYJJJISOCRCPZAWR6M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ECYYOOCCUYJJJISOCRCPZAWR6M","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":"24f173f9c4cb7dbe2fdf25c2427ebe625ed37c058473d4611a0ea4c83a0b60f7","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-15T12:51:22Z","title_canon_sha256":"40c05f075722fb31d7cdfc0e89e347ed73c024cc2f3c23167f2265eefec7682a"},"schema_version":"1.0","source":{"id":"1502.05339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05339","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05339v1","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05339","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"pith_short_12","alias_value":"ECYYOOCCUYJJ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ECYYOOCCUYJJJISO","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ECYYOOCC","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:be380bcf5909d8adc67dc3abaa894d21eea1f0fa6417832d467183b3c14de3b4","target":"graph","created_at":"2026-05-18T01:34:50Z","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"},"paper":{"abstract_excerpt":"Symmetries are widely used in modeling quantum systems but they do not contribute in postulates of quantum mechanics. Here we argue that logical, mathematical, and observational evidence require that symmetry should be considered as a fundamental concept in the construction of physical systems. Based on this idea, we propose a series of postulates for describing quantum systems, and establish their relation and correspondence with axioms of standard quantum mechanics. Through some examples we show that this reformulation helps better understand some of ambiguities of standard description. None","authors_text":"Houri Ziaeepour","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-15T12:51:22Z","title":"Symmetry as a foundational concept in Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05339","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:c8081d55ca72ea94dc98788bcd9e3a70210088f7712ef9d57da8f4dc0a73a2f6","target":"record","created_at":"2026-05-18T01:34:50Z","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":"24f173f9c4cb7dbe2fdf25c2427ebe625ed37c058473d4611a0ea4c83a0b60f7","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-15T12:51:22Z","title_canon_sha256":"40c05f075722fb31d7cdfc0e89e347ed73c024cc2f3c23167f2265eefec7682a"},"schema_version":"1.0","source":{"id":"1502.05339","kind":"arxiv","version":1}},"canonical_sha256":"20b1873842a61294a24e1444fc82d1f31051fe3d1b8e9902be812355f9d4a4ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20b1873842a61294a24e1444fc82d1f31051fe3d1b8e9902be812355f9d4a4ae","first_computed_at":"2026-05-18T01:34:50.464887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:50.464887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+kfA4HUt7iCwdm+nRmCUmktpwWx/aK0r+387MLePBbgLO/Pb5RTLfx0xmxh9/zeHeVJ8wuihF4+b8X3j04k9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:50.465285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8081d55ca72ea94dc98788bcd9e3a70210088f7712ef9d57da8f4dc0a73a2f6","sha256:be380bcf5909d8adc67dc3abaa894d21eea1f0fa6417832d467183b3c14de3b4"],"state_sha256":"90424591ea7e24ab134f5ad796b46c017bf8e2784601b3c8a49174855f47bd23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e7tW4AkUNedYwmk8QAQsls27B6pT9We2/8BIzeYhfB03IY8hLSOVKLwmfscg0iYE1EFSXoht62qDngoQxhgQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:15:09.792152Z","bundle_sha256":"49ffbb6f1f731328ab161c5399c25ce1ddb7d5681076fd3ba8be1fc4113a0f3b"}}