{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KUIOUH4SMRJPOAQHO6TG5FU7ZJ","short_pith_number":"pith:KUIOUH4S","canonical_record":{"source":{"id":"1502.06479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-02-23T16:06:23Z","cross_cats_sorted":[],"title_canon_sha256":"318f91bc7d408f757f51624b88001254d9be67ea7b84d978a38fc6de4199e1f0","abstract_canon_sha256":"773c7c250a3e0d3ba5f3e14ca7dc04d3320eb8fe55a771067db014e880319d4f"},"schema_version":"1.0"},"canonical_sha256":"5510ea1f926452f7020777a66e969fca7f14750c75ac81168ef87abac7149e15","source":{"kind":"arxiv","id":"1502.06479","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06479","created_at":"2026-05-18T01:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06479v1","created_at":"2026-05-18T01:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06479","created_at":"2026-05-18T01:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"KUIOUH4SMRJP","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KUIOUH4SMRJPOAQH","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KUIOUH4S","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KUIOUH4SMRJPOAQHO6TG5FU7ZJ","target":"record","payload":{"canonical_record":{"source":{"id":"1502.06479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-02-23T16:06:23Z","cross_cats_sorted":[],"title_canon_sha256":"318f91bc7d408f757f51624b88001254d9be67ea7b84d978a38fc6de4199e1f0","abstract_canon_sha256":"773c7c250a3e0d3ba5f3e14ca7dc04d3320eb8fe55a771067db014e880319d4f"},"schema_version":"1.0"},"canonical_sha256":"5510ea1f926452f7020777a66e969fca7f14750c75ac81168ef87abac7149e15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:54.981659Z","signature_b64":"Ks7VKSl97BBCUu/r8ah3uoV3xtNV3AoSmTnDzrHOOGLJ+dfY1BOr3U4UdB0ZDkFWXu21XdyufrPETNJ7Wx0bDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5510ea1f926452f7020777a66e969fca7f14750c75ac81168ef87abac7149e15","last_reissued_at":"2026-05-18T01:40:54.980853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:54.980853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.06479","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":"2026-05-18T01:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thE0bszmA7UfDJLszoDoNsQk/HB99pYXsXnKqwUr36rsC75m/KL6o6SkiTDRULzsWUsRXkhzrmf4HDJahrm6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:31:36.481891Z"},"content_sha256":"073ed4ed626abf68a13ff03ad51b237638436db7315c4fb1a1960f4e78dbeda0","schema_version":"1.0","event_id":"sha256:073ed4ed626abf68a13ff03ad51b237638436db7315c4fb1a1960f4e78dbeda0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KUIOUH4SMRJPOAQHO6TG5FU7ZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential rotation and radiative equilibrium in the Sun: is the tachocline spreading?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Andrea Caleo, Steven Balbus, William Potter","submitted_at":"2015-02-23T16:06:23Z","abstract_excerpt":"It is well known that the combination of barotropic rotation and radiative equilibrium are mutually incompatible in stars. The Sun's internal rotation is far from barotropic, however, which allows at least the theoretical possibility that the Sun's thermal balance is one of radiative equilibrium in the region of the tachocline near the outer boundary of the radiative zone. We show here that (i) the constraint of radiative equilibrium leads to a straightforward ordinary differential equation for the Sun's rotation profile, and (ii) solutions of this equation can be found that, to within current"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06479","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":"2026-05-18T01:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"snNSLyZP3/s0zJ0QqfRJQa0phcmEAaRAuhFGPgT3bmzLHR1Basb+34LLksnggZ2b+uNd+fIkULgKfKcNdXL1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:31:36.482227Z"},"content_sha256":"29347986aeb2b3bf320c4b3597a1ff3fbc929b3643d76ff3e8783902bdb45822","schema_version":"1.0","event_id":"sha256:29347986aeb2b3bf320c4b3597a1ff3fbc929b3643d76ff3e8783902bdb45822"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUIOUH4SMRJPOAQHO6TG5FU7ZJ/bundle.json","state_url":"https://pith.science/pith/KUIOUH4SMRJPOAQHO6TG5FU7ZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUIOUH4SMRJPOAQHO6TG5FU7ZJ/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":"2026-06-09T12:31:36Z","links":{"resolver":"https://pith.science/pith/KUIOUH4SMRJPOAQHO6TG5FU7ZJ","bundle":"https://pith.science/pith/KUIOUH4SMRJPOAQHO6TG5FU7ZJ/bundle.json","state":"https://pith.science/pith/KUIOUH4SMRJPOAQHO6TG5FU7ZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUIOUH4SMRJPOAQHO6TG5FU7ZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KUIOUH4SMRJPOAQHO6TG5FU7ZJ","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":"773c7c250a3e0d3ba5f3e14ca7dc04d3320eb8fe55a771067db014e880319d4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-02-23T16:06:23Z","title_canon_sha256":"318f91bc7d408f757f51624b88001254d9be67ea7b84d978a38fc6de4199e1f0"},"schema_version":"1.0","source":{"id":"1502.06479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06479","created_at":"2026-05-18T01:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06479v1","created_at":"2026-05-18T01:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06479","created_at":"2026-05-18T01:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"KUIOUH4SMRJP","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KUIOUH4SMRJPOAQH","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KUIOUH4S","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:29347986aeb2b3bf320c4b3597a1ff3fbc929b3643d76ff3e8783902bdb45822","target":"graph","created_at":"2026-05-18T01:40:54Z","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":"It is well known that the combination of barotropic rotation and radiative equilibrium are mutually incompatible in stars. The Sun's internal rotation is far from barotropic, however, which allows at least the theoretical possibility that the Sun's thermal balance is one of radiative equilibrium in the region of the tachocline near the outer boundary of the radiative zone. We show here that (i) the constraint of radiative equilibrium leads to a straightforward ordinary differential equation for the Sun's rotation profile, and (ii) solutions of this equation can be found that, to within current","authors_text":"Andrea Caleo, Steven Balbus, William Potter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-02-23T16:06:23Z","title":"Differential rotation and radiative equilibrium in the Sun: is the tachocline spreading?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06479","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":"sha256:073ed4ed626abf68a13ff03ad51b237638436db7315c4fb1a1960f4e78dbeda0","target":"record","created_at":"2026-05-18T01:40:54Z","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":"773c7c250a3e0d3ba5f3e14ca7dc04d3320eb8fe55a771067db014e880319d4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-02-23T16:06:23Z","title_canon_sha256":"318f91bc7d408f757f51624b88001254d9be67ea7b84d978a38fc6de4199e1f0"},"schema_version":"1.0","source":{"id":"1502.06479","kind":"arxiv","version":1}},"canonical_sha256":"5510ea1f926452f7020777a66e969fca7f14750c75ac81168ef87abac7149e15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5510ea1f926452f7020777a66e969fca7f14750c75ac81168ef87abac7149e15","first_computed_at":"2026-05-18T01:40:54.980853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:54.980853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ks7VKSl97BBCUu/r8ah3uoV3xtNV3AoSmTnDzrHOOGLJ+dfY1BOr3U4UdB0ZDkFWXu21XdyufrPETNJ7Wx0bDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:54.981659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:073ed4ed626abf68a13ff03ad51b237638436db7315c4fb1a1960f4e78dbeda0","sha256:29347986aeb2b3bf320c4b3597a1ff3fbc929b3643d76ff3e8783902bdb45822"],"state_sha256":"9aa3ecb8cf9e50c0f398b39c9e081bed2a1b8e33c631236cc35186a6c47eb29c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XR2aGjvCykS29bvU5LprlV/QWSOZwjkGgstpVlCtr0Y/TwwZqmyOXeuHkU8qB7VO6vYYcwKiWb3xmjScliHsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T12:31:36.484090Z","bundle_sha256":"f081a6f1de1d9e4dcf07cafaa70e5da889b3ecc7ba21e9b48df95b56b0994a79"}}