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Precise values for the polarizabilities are obtained leading to $\\alpha_p = 12.0\\pm 0.6$ $(12.0)$, $\\beta_p=1.9\\mp 0.6$ $(1.9)$, $\\alpha_n= 12.5\\pm 1.7$ $(13.4)$, $\\beta_n= 2.7 \\mp 1.8$ $(1.8)$ in units of $10^{-4}$ fm$^3$ and $\\gamma^{(p)}_\\pi = -36.4 \\pm 1.5$ $(-36.6)$, $\\gamma^{(n)}_\\pi = 58.6 \\pm 4.0$ $(58.3)$, $(\\gamma^{(p)}_0= -0.58\\pm 0.20)$, $(\\gamma^{(n)}_0 = +0.38\\pm 0.22)$ in units of $10^{-4}$ fm$^4$, for the proton (p) and neut"},"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":"1301.1567","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-01-08T15:40:58Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"43e18e3088a82810c4982f8de14e381f0d20f82d0e0fb7722f1b322714987e3a","abstract_canon_sha256":"e430df2f5f1bacfc3190e5ec9ff41f73ebe062567cef2fc7f015230514941368"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:06.465615Z","signature_b64":"GenUp3f1oczlociCR60EVpNHs3wmeBS3z3HvLKqAEJ3dCdDKYYc7TJ/SX5jZyZQU7kM74gyamItG83oLtnlHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b991999cf922846faddfede1313c2f8de177ac6f4174126fe5ed94c36f1e0547","last_reissued_at":"2026-05-18T03:20:06.464958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:06.464958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dispersion theory of nucleon Compton scattering and polarizabilities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Martin Schumacher, Michael D. 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Precise values for the polarizabilities are obtained leading to $\\alpha_p = 12.0\\pm 0.6$ $(12.0)$, $\\beta_p=1.9\\mp 0.6$ $(1.9)$, $\\alpha_n= 12.5\\pm 1.7$ $(13.4)$, $\\beta_n= 2.7 \\mp 1.8$ $(1.8)$ in units of $10^{-4}$ fm$^3$ and $\\gamma^{(p)}_\\pi = -36.4 \\pm 1.5$ $(-36.6)$, $\\gamma^{(n)}_\\pi = 58.6 \\pm 4.0$ $(58.3)$, $(\\gamma^{(p)}_0= -0.58\\pm 0.20)$, $(\\gamma^{(n)}_0 = +0.38\\pm 0.22)$ in units of $10^{-4}$ fm$^4$, for the proton (p) and neut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1567","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1301.1567","created_at":"2026-05-18T03:20:06.465052+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.1567v2","created_at":"2026-05-18T03:20:06.465052+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1567","created_at":"2026-05-18T03:20:06.465052+00:00"},{"alias_kind":"pith_short_12","alias_value":"XGIZTHHZEKCG","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"XGIZTHHZEKCG7LO7","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"XGIZTHHZ","created_at":"2026-05-18T12:28:06.772260+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX","json":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX.json","graph_json":"https://pith.science/api/pith-number/XGIZTHHZEKCG7LO75XQTCPBPRX/graph.json","events_json":"https://pith.science/api/pith-number/XGIZTHHZEKCG7LO75XQTCPBPRX/events.json","paper":"https://pith.science/paper/XGIZTHHZ"},"agent_actions":{"view_html":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX","download_json":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX.json","view_paper":"https://pith.science/paper/XGIZTHHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.1567&json=true","fetch_graph":"https://pith.science/api/pith-number/XGIZTHHZEKCG7LO75XQTCPBPRX/graph.json","fetch_events":"https://pith.science/api/pith-number/XGIZTHHZEKCG7LO75XQTCPBPRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX/action/storage_attestation","attest_author":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX/action/author_attestation","sign_citation":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX/action/citation_signature","submit_replication":"https://pith.science/pith/XGIZTHHZEKCG7LO75XQTCPBPRX/action/replication_record"}},"created_at":"2026-05-18T03:20:06.465052+00:00","updated_at":"2026-05-18T03:20:06.465052+00:00"}