{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:4OJST6EXYNOWDOS5XILTI45FPK","short_pith_number":"pith:4OJST6EX","schema_version":"1.0","canonical_sha256":"e39329f897c35d61ba5dba173473a57a8388205858467485dfedcc37463d1b3c","source":{"kind":"arxiv","id":"2412.09664","version":1},"attestation_state":"computed","paper":{"title":"Quantum stresses in the hydrogen atom","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"Adam Freese","submitted_at":"2024-12-12T16:13:31Z","abstract_excerpt":"Gravitational form factors are often interpreted as providing access to stresses inside hadrons, in particular through Fourier transforms of the form factors $D$ and $\\bar{c}$. Some researchers, however, have expressed skepticism of this interpretation. I revisit the question, and argue that it is indeed appropriate to interpret these quantities as stress distributions. I consider the hydrogen atom's ground state as a familiar example, and use the pilot wave interpretation of quantum mechanics to give the distributions a clear meaning. A striking result is that $\\bar{c}$ -- rather than $D$ -- "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2412.09664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-12-12T16:13:31Z","cross_cats_sorted":["nucl-th","quant-ph"],"title_canon_sha256":"429451a6b9c638215c373c07c113ef9e7b0dc55a48fa96fdb301234ee8bc029d","abstract_canon_sha256":"7d229baff58c23b3f35090125d4763a67151b4f9bcf6a3162dbe157a243d548f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:21:27.252269Z","signature_b64":"8F/DLX8Vgr6W65VKOcMi42dMPb528k9VWWdrlV969KYLtYRIU1a0L6jjw1A46jUa/terI69l+J7LaRDP2Y6dAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e39329f897c35d61ba5dba173473a57a8388205858467485dfedcc37463d1b3c","last_reissued_at":"2026-07-05T10:21:27.251766Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:21:27.251766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum stresses in the hydrogen atom","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"Adam Freese","submitted_at":"2024-12-12T16:13:31Z","abstract_excerpt":"Gravitational form factors are often interpreted as providing access to stresses inside hadrons, in particular through Fourier transforms of the form factors $D$ and $\\bar{c}$. Some researchers, however, have expressed skepticism of this interpretation. I revisit the question, and argue that it is indeed appropriate to interpret these quantities as stress distributions. I consider the hydrogen atom's ground state as a familiar example, and use the pilot wave interpretation of quantum mechanics to give the distributions a clear meaning. A striking result is that $\\bar{c}$ -- rather than $D$ -- "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09664","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/2412.09664/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.09664","created_at":"2026-07-05T10:21:27.251826+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.09664v1","created_at":"2026-07-05T10:21:27.251826+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09664","created_at":"2026-07-05T10:21:27.251826+00:00"},{"alias_kind":"pith_short_12","alias_value":"4OJST6EXYNOW","created_at":"2026-07-05T10:21:27.251826+00:00"},{"alias_kind":"pith_short_16","alias_value":"4OJST6EXYNOWDOS5","created_at":"2026-07-05T10:21:27.251826+00:00"},{"alias_kind":"pith_short_8","alias_value":"4OJST6EX","created_at":"2026-07-05T10:21:27.251826+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.12315","citing_title":"Gluon Gravitational $ D$-Form Factor: The $\\sigma$-Meson as a Dilaton Confronted with Lattice Data II","ref_index":113,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK","json":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK.json","graph_json":"https://pith.science/api/pith-number/4OJST6EXYNOWDOS5XILTI45FPK/graph.json","events_json":"https://pith.science/api/pith-number/4OJST6EXYNOWDOS5XILTI45FPK/events.json","paper":"https://pith.science/paper/4OJST6EX"},"agent_actions":{"view_html":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK","download_json":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK.json","view_paper":"https://pith.science/paper/4OJST6EX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.09664&json=true","fetch_graph":"https://pith.science/api/pith-number/4OJST6EXYNOWDOS5XILTI45FPK/graph.json","fetch_events":"https://pith.science/api/pith-number/4OJST6EXYNOWDOS5XILTI45FPK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK/action/storage_attestation","attest_author":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK/action/author_attestation","sign_citation":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK/action/citation_signature","submit_replication":"https://pith.science/pith/4OJST6EXYNOWDOS5XILTI45FPK/action/replication_record"}},"created_at":"2026-07-05T10:21:27.251826+00:00","updated_at":"2026-07-05T10:21:27.251826+00:00"}