{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:B23E2PFPGZNPTUIW3DHC56TRB7","short_pith_number":"pith:B23E2PFP","canonical_record":{"source":{"id":"0804.2241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-14T18:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"418e4565b47e364804e92213bb2469f25aa64509a94408012e6096c6c33650e4","abstract_canon_sha256":"2bc85ac472e8daa4dee9b2f855703ad38f0135d8b0faa2a8808f00fc1b0df3d3"},"schema_version":"1.0"},"canonical_sha256":"0eb64d3caf365af9d116d8ce2efa710fd0d763d86eeba093eb4a80c2c10dbee4","source":{"kind":"arxiv","id":"0804.2241","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.2241","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"0804.2241v2","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.2241","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"B23E2PFPGZNP","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"B23E2PFPGZNPTUIW","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"B23E2PFP","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:B23E2PFPGZNPTUIW3DHC56TRB7","target":"record","payload":{"canonical_record":{"source":{"id":"0804.2241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-14T18:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"418e4565b47e364804e92213bb2469f25aa64509a94408012e6096c6c33650e4","abstract_canon_sha256":"2bc85ac472e8daa4dee9b2f855703ad38f0135d8b0faa2a8808f00fc1b0df3d3"},"schema_version":"1.0"},"canonical_sha256":"0eb64d3caf365af9d116d8ce2efa710fd0d763d86eeba093eb4a80c2c10dbee4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:22.879290Z","signature_b64":"xP0pZi3XKCcupEt2wPxzD78YcL56YJatm2bvndtIPY+UrJ4+olTaRLB2qBP5tWeYib38rMpv7NymY2nXFSmJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0eb64d3caf365af9d116d8ce2efa710fd0d763d86eeba093eb4a80c2c10dbee4","last_reissued_at":"2026-05-18T02:35:22.878895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:22.878895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0804.2241","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fq6oqneOeGxT2aBKQMWHWQVAEjYsWJ0+rLSxuXWJwZTHBfzNIWKzor5f2lL+qptCyisb73tZO2gIDdlSLwNyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:40:08.759283Z"},"content_sha256":"aa9e14b3e0e46a6b051762933d74e3eba7f4c4a75684829c1ab26870e327eedc","schema_version":"1.0","event_id":"sha256:aa9e14b3e0e46a6b051762933d74e3eba7f4c4a75684829c1ab26870e327eedc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:B23E2PFPGZNPTUIW3DHC56TRB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling Laws and Temperature Profiles for Solar and Stellar Coronal Loops with Non-uniform Heating","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"P.C.H. Martens","submitted_at":"2008-04-14T18:47:18Z","abstract_excerpt":"The bulk of solar coronal radiative loss consists of soft X-ray emission from quasi-static loops at the cores of Active Regions. In order to develop diagnostics for determining the heating mechanism of these loops from observations by coronal imaging instruments, I have developed analytical solutions for the temperature structure and scaling laws of loop strands for a wide range of heating functions, including footpoint heating, uniform heating, and heating concentrated at the loop apex. Key results are that the temperature profile depends only weakly on the heating distribution -- not suffici"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.2241","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tAb9lQdzTeIIm2gKjXIv0LMQgzSvIeJgmLG1uSZZlizwmQw9/urmHPl3Uc0Gv9twXxOp7fG/9H4uFmOxvxrZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:40:08.759648Z"},"content_sha256":"d7d5eef616ce88959c93360f724305fa30f79eab7c83a700323adb1c6b4397ac","schema_version":"1.0","event_id":"sha256:d7d5eef616ce88959c93360f724305fa30f79eab7c83a700323adb1c6b4397ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B23E2PFPGZNPTUIW3DHC56TRB7/bundle.json","state_url":"https://pith.science/pith/B23E2PFPGZNPTUIW3DHC56TRB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B23E2PFPGZNPTUIW3DHC56TRB7/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":"2026-06-29T15:40:08Z","links":{"resolver":"https://pith.science/pith/B23E2PFPGZNPTUIW3DHC56TRB7","bundle":"https://pith.science/pith/B23E2PFPGZNPTUIW3DHC56TRB7/bundle.json","state":"https://pith.science/pith/B23E2PFPGZNPTUIW3DHC56TRB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B23E2PFPGZNPTUIW3DHC56TRB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:B23E2PFPGZNPTUIW3DHC56TRB7","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":"2bc85ac472e8daa4dee9b2f855703ad38f0135d8b0faa2a8808f00fc1b0df3d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-14T18:47:18Z","title_canon_sha256":"418e4565b47e364804e92213bb2469f25aa64509a94408012e6096c6c33650e4"},"schema_version":"1.0","source":{"id":"0804.2241","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.2241","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"0804.2241v2","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.2241","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"B23E2PFPGZNP","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"B23E2PFPGZNPTUIW","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"B23E2PFP","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:d7d5eef616ce88959c93360f724305fa30f79eab7c83a700323adb1c6b4397ac","target":"graph","created_at":"2026-05-18T02:35:22Z","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":"The bulk of solar coronal radiative loss consists of soft X-ray emission from quasi-static loops at the cores of Active Regions. In order to develop diagnostics for determining the heating mechanism of these loops from observations by coronal imaging instruments, I have developed analytical solutions for the temperature structure and scaling laws of loop strands for a wide range of heating functions, including footpoint heating, uniform heating, and heating concentrated at the loop apex. Key results are that the temperature profile depends only weakly on the heating distribution -- not suffici","authors_text":"P.C.H. Martens","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-14T18:47:18Z","title":"Scaling Laws and Temperature Profiles for Solar and Stellar Coronal Loops with Non-uniform Heating"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.2241","kind":"arxiv","version":2},"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:aa9e14b3e0e46a6b051762933d74e3eba7f4c4a75684829c1ab26870e327eedc","target":"record","created_at":"2026-05-18T02:35:22Z","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":"2bc85ac472e8daa4dee9b2f855703ad38f0135d8b0faa2a8808f00fc1b0df3d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-14T18:47:18Z","title_canon_sha256":"418e4565b47e364804e92213bb2469f25aa64509a94408012e6096c6c33650e4"},"schema_version":"1.0","source":{"id":"0804.2241","kind":"arxiv","version":2}},"canonical_sha256":"0eb64d3caf365af9d116d8ce2efa710fd0d763d86eeba093eb4a80c2c10dbee4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0eb64d3caf365af9d116d8ce2efa710fd0d763d86eeba093eb4a80c2c10dbee4","first_computed_at":"2026-05-18T02:35:22.878895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:22.878895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xP0pZi3XKCcupEt2wPxzD78YcL56YJatm2bvndtIPY+UrJ4+olTaRLB2qBP5tWeYib38rMpv7NymY2nXFSmJAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:22.879290Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.2241","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa9e14b3e0e46a6b051762933d74e3eba7f4c4a75684829c1ab26870e327eedc","sha256:d7d5eef616ce88959c93360f724305fa30f79eab7c83a700323adb1c6b4397ac"],"state_sha256":"e0ea7438c53b45cc777573adc0e1125685fca67e566bbb614223267874bedf48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hwzclNuY8VUUk7+1jmskLC4zP5aiXvgFAG3ErRHL+/rL7w50kohoNjo1A+6Lgnmjt028AmzcIpVp/PD3pFdeAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T15:40:08.761671Z","bundle_sha256":"080acde840cc528320681b505c6b7abdcbf2ae7838bbe287460534ad48091bd7"}}