{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7W5W4OYLIKV6H6S2WTJPWHSM23","short_pith_number":"pith:7W5W4OYL","canonical_record":{"source":{"id":"1109.3822","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-09-17T23:41:22Z","cross_cats_sorted":["physics.ed-ph"],"title_canon_sha256":"6a8c89cd1527e045c134b7d0eaf23f587c9164c277f249a839735a34bde4272b","abstract_canon_sha256":"9d97ccdcdd970eb5848f868eed9d3990ab7e0456595de31a32f92d32c2fe4f85"},"schema_version":"1.0"},"canonical_sha256":"fdbb6e3b0b42abe3fa5ab4d2fb1e4cd6e214131018a15f1e46f67cd9ed358cb5","source":{"kind":"arxiv","id":"1109.3822","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3822","created_at":"2026-05-18T02:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3822v3","created_at":"2026-05-18T02:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3822","created_at":"2026-05-18T02:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"7W5W4OYLIKV6","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7W5W4OYLIKV6H6S2","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7W5W4OYL","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7W5W4OYLIKV6H6S2WTJPWHSM23","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3822","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-09-17T23:41:22Z","cross_cats_sorted":["physics.ed-ph"],"title_canon_sha256":"6a8c89cd1527e045c134b7d0eaf23f587c9164c277f249a839735a34bde4272b","abstract_canon_sha256":"9d97ccdcdd970eb5848f868eed9d3990ab7e0456595de31a32f92d32c2fe4f85"},"schema_version":"1.0"},"canonical_sha256":"fdbb6e3b0b42abe3fa5ab4d2fb1e4cd6e214131018a15f1e46f67cd9ed358cb5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:29.692983Z","signature_b64":"zOba6+DS1SM/UgLOWCZ8OpcE7921DNIzZqj/o3CU95GUtGCdLqeeqKwnoOXqtRmdWX5lsp3jpVo19b0SSMGiAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdbb6e3b0b42abe3fa5ab4d2fb1e4cd6e214131018a15f1e46f67cd9ed358cb5","last_reissued_at":"2026-05-18T02:00:29.692494Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:29.692494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3822","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5yjcWG25sxtd/B748up0woUsjd8fU1cvNRmG1tPUTx7WfpbQgO+ojM/k8Au9ZuOqavWMLu1kOn0x8QrqISnTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:36:05.597449Z"},"content_sha256":"bb24326959459ed51254f2497e8b197852b4e7c41ff87d33e3c2b543b32c1513","schema_version":"1.0","event_id":"sha256:bb24326959459ed51254f2497e8b197852b4e7c41ff87d33e3c2b543b32c1513"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7W5W4OYLIKV6H6S2WTJPWHSM23","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A better presentation of Planck's radiation law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ed-ph"],"primary_cat":"astro-ph.SR","authors_text":"Francis P. Wilkin, Jonathan M. Marr","submitted_at":"2011-09-17T23:41:22Z","abstract_excerpt":"Introductory physics and astronomy courses commonly use Wien's displacement law to explain the colors of blackbodies, including the Sun and other stars, in terms of their temperatures. We argue here that focusing on the peak of the blackbody spectrum is misleading for three reasons. First, the Planck curve is too broad for an individual spectral color to stand out. Second, the location of the peak of the Planck curve depends on the choice of the independent variable in the plot. And third, Wien's displacement law is seldom used in actual practice to find a temperature and direct fitting to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3822","kind":"arxiv","version":3},"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":"2026-05-18T02:00:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VGntrc8SceKDFJMjVzWTOjs8OkOqp6b/MmmAC2d1hR8N/iv6HI/ILGQytuHUzTonThnx8d08t9hD2CZTo69zBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:36:05.597795Z"},"content_sha256":"2f7deeb7ca36c5b201f57fb75105c12ea7ba9989b5adb015c7f587bb17622cee","schema_version":"1.0","event_id":"sha256:2f7deeb7ca36c5b201f57fb75105c12ea7ba9989b5adb015c7f587bb17622cee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7W5W4OYLIKV6H6S2WTJPWHSM23/bundle.json","state_url":"https://pith.science/pith/7W5W4OYLIKV6H6S2WTJPWHSM23/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7W5W4OYLIKV6H6S2WTJPWHSM23/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":"2026-06-02T10:36:05Z","links":{"resolver":"https://pith.science/pith/7W5W4OYLIKV6H6S2WTJPWHSM23","bundle":"https://pith.science/pith/7W5W4OYLIKV6H6S2WTJPWHSM23/bundle.json","state":"https://pith.science/pith/7W5W4OYLIKV6H6S2WTJPWHSM23/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7W5W4OYLIKV6H6S2WTJPWHSM23/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7W5W4OYLIKV6H6S2WTJPWHSM23","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":"9d97ccdcdd970eb5848f868eed9d3990ab7e0456595de31a32f92d32c2fe4f85","cross_cats_sorted":["physics.ed-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-09-17T23:41:22Z","title_canon_sha256":"6a8c89cd1527e045c134b7d0eaf23f587c9164c277f249a839735a34bde4272b"},"schema_version":"1.0","source":{"id":"1109.3822","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3822","created_at":"2026-05-18T02:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3822v3","created_at":"2026-05-18T02:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3822","created_at":"2026-05-18T02:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"7W5W4OYLIKV6","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7W5W4OYLIKV6H6S2","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7W5W4OYL","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:2f7deeb7ca36c5b201f57fb75105c12ea7ba9989b5adb015c7f587bb17622cee","target":"graph","created_at":"2026-05-18T02:00:29Z","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":"Introductory physics and astronomy courses commonly use Wien's displacement law to explain the colors of blackbodies, including the Sun and other stars, in terms of their temperatures. We argue here that focusing on the peak of the blackbody spectrum is misleading for three reasons. First, the Planck curve is too broad for an individual spectral color to stand out. Second, the location of the peak of the Planck curve depends on the choice of the independent variable in the plot. And third, Wien's displacement law is seldom used in actual practice to find a temperature and direct fitting to the","authors_text":"Francis P. Wilkin, Jonathan M. Marr","cross_cats":["physics.ed-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-09-17T23:41:22Z","title":"A better presentation of Planck's radiation law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3822","kind":"arxiv","version":3},"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:bb24326959459ed51254f2497e8b197852b4e7c41ff87d33e3c2b543b32c1513","target":"record","created_at":"2026-05-18T02:00:29Z","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":"9d97ccdcdd970eb5848f868eed9d3990ab7e0456595de31a32f92d32c2fe4f85","cross_cats_sorted":["physics.ed-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-09-17T23:41:22Z","title_canon_sha256":"6a8c89cd1527e045c134b7d0eaf23f587c9164c277f249a839735a34bde4272b"},"schema_version":"1.0","source":{"id":"1109.3822","kind":"arxiv","version":3}},"canonical_sha256":"fdbb6e3b0b42abe3fa5ab4d2fb1e4cd6e214131018a15f1e46f67cd9ed358cb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdbb6e3b0b42abe3fa5ab4d2fb1e4cd6e214131018a15f1e46f67cd9ed358cb5","first_computed_at":"2026-05-18T02:00:29.692494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:29.692494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zOba6+DS1SM/UgLOWCZ8OpcE7921DNIzZqj/o3CU95GUtGCdLqeeqKwnoOXqtRmdWX5lsp3jpVo19b0SSMGiAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:29.692983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3822","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb24326959459ed51254f2497e8b197852b4e7c41ff87d33e3c2b543b32c1513","sha256:2f7deeb7ca36c5b201f57fb75105c12ea7ba9989b5adb015c7f587bb17622cee"],"state_sha256":"0d2c10432c46d0a0bc611c5b5230c3e7c282db622922c7847076138b092ee375"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6dvzcdCSrmWruakJxx5/t5W7p5o51dC47GE/Go6eqZn22NHbRPqaNOXP0+Kj/+n8D7RRNLxZWfEBpl0cdvpGBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:36:05.599945Z","bundle_sha256":"89d5f6dcd7c2ce640d5d317bd5f78d261b9957acb11178c8fb8df5971fbc6227"}}