{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4JI3RL5OSJB37YTMIGLMD6GDPN","short_pith_number":"pith:4JI3RL5O","canonical_record":{"source":{"id":"2507.14388","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-07-18T22:31:11Z","cross_cats_sorted":["nucl-ex","nucl-th"],"title_canon_sha256":"89d3fc4eb8d88b88543b8de9ed44780399b297116f5b5078815a8fbfd9e7419d","abstract_canon_sha256":"9d2b026495287ace48d6ae32e0006c41cab6c750157ac881aac14c386fcb464a"},"schema_version":"1.0"},"canonical_sha256":"e251b8afae9243bfe26c4196c1f8c37b5b01c74bdf77139efb30865fcc249afc","source":{"kind":"arxiv","id":"2507.14388","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.14388","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"2507.14388v1","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.14388","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"4JI3RL5OSJB3","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"pith_short_16","alias_value":"4JI3RL5OSJB37YTM","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"pith_short_8","alias_value":"4JI3RL5O","created_at":"2026-07-05T11:40:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4JI3RL5OSJB37YTMIGLMD6GDPN","target":"record","payload":{"canonical_record":{"source":{"id":"2507.14388","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-07-18T22:31:11Z","cross_cats_sorted":["nucl-ex","nucl-th"],"title_canon_sha256":"89d3fc4eb8d88b88543b8de9ed44780399b297116f5b5078815a8fbfd9e7419d","abstract_canon_sha256":"9d2b026495287ace48d6ae32e0006c41cab6c750157ac881aac14c386fcb464a"},"schema_version":"1.0"},"canonical_sha256":"e251b8afae9243bfe26c4196c1f8c37b5b01c74bdf77139efb30865fcc249afc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:05.295147Z","signature_b64":"JVY6WPBP4SOnz4WphFQLWZeSbHMdpfomfmvGziy/zGF7M/20qQb88Q83sYdDPFiM1g+k+T3InLwd5uAAp/AXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e251b8afae9243bfe26c4196c1f8c37b5b01c74bdf77139efb30865fcc249afc","last_reissued_at":"2026-07-05T11:40:05.294639Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:05.294639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.14388","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":"2026-07-05T11:40:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pWnueQmkka6wPOsXxzRemQUCAxxwzqoRvGnWqDwTaXsx7zvzd0piPVSGDdN5YX3SgbouxJf6IYJ04608ACT7AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:27:14.192614Z"},"content_sha256":"5ebb212932ecc03d790ffe7cff945cdbcf1d66bf7fde9ab7859c934066d27ac9","schema_version":"1.0","event_id":"sha256:5ebb212932ecc03d790ffe7cff945cdbcf1d66bf7fde9ab7859c934066d27ac9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4JI3RL5OSJB37YTMIGLMD6GDPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nucl-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Gerald A. Miller","submitted_at":"2025-07-18T22:31:11Z","abstract_excerpt":"The quantum mechanical definition of probability, the uncertainty principle and Poincare invariance provide strong basic restrictions on the ability to define spatial densities associated with form factors describing the properties of confined systems of relativistically moving constituents. Despite this, many papers ignore one or more of these restrictions. Here I show how to obtain time-independent, two-dimensional densities that are consistent with the stated restrictions. This is done using the light-front, infinite momentum frame formalism. Two-dimensional density interpretations of the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.14388","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/2507.14388/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":"2026-07-05T11:40:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ytg91vel2pBFWaLOJhJbCgwGtNOMu/VBOk4aLf8Ohva4afdh9GiprOrz+DoSxZnaL+jM88yrROKz4cBX8rNuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:27:14.193175Z"},"content_sha256":"5c79dba578bc6e5733a1674c8ae13fa2b16fb8b8a1d97669ac3c253aa1052f91","schema_version":"1.0","event_id":"sha256:5c79dba578bc6e5733a1674c8ae13fa2b16fb8b8a1d97669ac3c253aa1052f91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4JI3RL5OSJB37YTMIGLMD6GDPN/bundle.json","state_url":"https://pith.science/pith/4JI3RL5OSJB37YTMIGLMD6GDPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4JI3RL5OSJB37YTMIGLMD6GDPN/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":"2026-08-07T09:27:14Z","links":{"resolver":"https://pith.science/pith/4JI3RL5OSJB37YTMIGLMD6GDPN","bundle":"https://pith.science/pith/4JI3RL5OSJB37YTMIGLMD6GDPN/bundle.json","state":"https://pith.science/pith/4JI3RL5OSJB37YTMIGLMD6GDPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4JI3RL5OSJB37YTMIGLMD6GDPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4JI3RL5OSJB37YTMIGLMD6GDPN","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":"9d2b026495287ace48d6ae32e0006c41cab6c750157ac881aac14c386fcb464a","cross_cats_sorted":["nucl-ex","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-07-18T22:31:11Z","title_canon_sha256":"89d3fc4eb8d88b88543b8de9ed44780399b297116f5b5078815a8fbfd9e7419d"},"schema_version":"1.0","source":{"id":"2507.14388","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.14388","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"2507.14388v1","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.14388","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"4JI3RL5OSJB3","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"pith_short_16","alias_value":"4JI3RL5OSJB37YTM","created_at":"2026-07-05T11:40:05Z"},{"alias_kind":"pith_short_8","alias_value":"4JI3RL5O","created_at":"2026-07-05T11:40:05Z"}],"graph_snapshots":[{"event_id":"sha256:5c79dba578bc6e5733a1674c8ae13fa2b16fb8b8a1d97669ac3c253aa1052f91","target":"graph","created_at":"2026-07-05T11:40:05Z","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/2507.14388/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quantum mechanical definition of probability, the uncertainty principle and Poincare invariance provide strong basic restrictions on the ability to define spatial densities associated with form factors describing the properties of confined systems of relativistically moving constituents. Despite this, many papers ignore one or more of these restrictions. Here I show how to obtain time-independent, two-dimensional densities that are consistent with the stated restrictions. This is done using the light-front, infinite momentum frame formalism. Two-dimensional density interpretations of the a","authors_text":"Gerald A. Miller","cross_cats":["nucl-ex","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-07-18T22:31:11Z","title":"On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.14388","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":"sha256:5ebb212932ecc03d790ffe7cff945cdbcf1d66bf7fde9ab7859c934066d27ac9","target":"record","created_at":"2026-07-05T11:40:05Z","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":"9d2b026495287ace48d6ae32e0006c41cab6c750157ac881aac14c386fcb464a","cross_cats_sorted":["nucl-ex","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-07-18T22:31:11Z","title_canon_sha256":"89d3fc4eb8d88b88543b8de9ed44780399b297116f5b5078815a8fbfd9e7419d"},"schema_version":"1.0","source":{"id":"2507.14388","kind":"arxiv","version":1}},"canonical_sha256":"e251b8afae9243bfe26c4196c1f8c37b5b01c74bdf77139efb30865fcc249afc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e251b8afae9243bfe26c4196c1f8c37b5b01c74bdf77139efb30865fcc249afc","first_computed_at":"2026-07-05T11:40:05.294639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:40:05.294639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVY6WPBP4SOnz4WphFQLWZeSbHMdpfomfmvGziy/zGF7M/20qQb88Q83sYdDPFiM1g+k+T3InLwd5uAAp/AXAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:40:05.295147Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.14388","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ebb212932ecc03d790ffe7cff945cdbcf1d66bf7fde9ab7859c934066d27ac9","sha256:5c79dba578bc6e5733a1674c8ae13fa2b16fb8b8a1d97669ac3c253aa1052f91"],"state_sha256":"ab5ce57b46206a9399e0bb1036c8129c47ae459ddefa4a303a1dc6132e5f605e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8nn95B37RkvNEJIEA9awnYFM0QJfFkaDb4AKfjiDnP4z8Z0Wv1cnSVKUF93n+V7eKzjh+f1F1wEmdg+R0j7iDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T09:27:14.198387Z","bundle_sha256":"23ead072aa96a0d85316360d02f026f1d39350081c01004c36c0c7b91c6fc904"}}