{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3FESGIEQXJUQSSNMHOVKTVVI33","short_pith_number":"pith:3FESGIEQ","canonical_record":{"source":{"id":"1708.05066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-08-11T23:02:51Z","cross_cats_sorted":[],"title_canon_sha256":"bfec42e31daf30c2e7b641fc262e181a48649c81156825b3ce015372ff123ec8","abstract_canon_sha256":"391ba5bc198ef08314e72f8d7d4b40cbb68008cd76ff4ef4594b27d12c12af70"},"schema_version":"1.0"},"canonical_sha256":"d949232090ba690949ac3baaa9d6a8dedcda355ea96d35e98ae10c6fdff3da99","source":{"kind":"arxiv","id":"1708.05066","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05066","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05066v1","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05066","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"3FESGIEQXJUQ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3FESGIEQXJUQSSNM","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3FESGIEQ","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3FESGIEQXJUQSSNMHOVKTVVI33","target":"record","payload":{"canonical_record":{"source":{"id":"1708.05066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-08-11T23:02:51Z","cross_cats_sorted":[],"title_canon_sha256":"bfec42e31daf30c2e7b641fc262e181a48649c81156825b3ce015372ff123ec8","abstract_canon_sha256":"391ba5bc198ef08314e72f8d7d4b40cbb68008cd76ff4ef4594b27d12c12af70"},"schema_version":"1.0"},"canonical_sha256":"d949232090ba690949ac3baaa9d6a8dedcda355ea96d35e98ae10c6fdff3da99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:49.817305Z","signature_b64":"GqK5hzTixStJWDbqRAsq1Da2QZSqkuGmNOkUTLSeVY47KCj096ziIS5AmADs/V7nn+87bLRyxXKsRkrkaHfOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d949232090ba690949ac3baaa9d6a8dedcda355ea96d35e98ae10c6fdff3da99","last_reissued_at":"2026-05-18T00:02:49.816664Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:49.816664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.05066","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":"2026-05-18T00:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sk0CNqL7WkMyGA94slamhvGj/2oe3a1mfbjZK7FrHl1zseebNCRZM1r8dv+JXZXidONL/UWQR1qq6taFAMiJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:56:45.767765Z"},"content_sha256":"e0bf286ac77a1e2558ddadeb85cb3446f580b6152a388459f96effd7ee523487","schema_version":"1.0","event_id":"sha256:e0bf286ac77a1e2558ddadeb85cb3446f580b6152a388459f96effd7ee523487"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3FESGIEQXJUQSSNMHOVKTVVI33","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From rods to blobs: When geometry is irrelevant for heat diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"John Bechhoefer, Matthew Frick, Swapnil Gupta","submitted_at":"2017-08-11T23:02:51Z","abstract_excerpt":"Thermal systems are an attractive setting for exploring the connections between the lumped-element approximations of elementary circuit theory and the partial-differential field equations of mathematical physics, a topic that has been neglected in physics curricula. In a calculation suitable for an undergraduate course in mathematical physics, we show that the response function between an oscillating heater and temperature probe has a smooth crossover between a low-frequency, \"lumped-element\" regime where the system behaves as an electrical capacitor and a high-frequency regime dominated by th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05066","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":"2026-05-18T00:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjxUWKlZ7gkje5qscSZt3yVYaR4h6DiWyvpEW1sPEBz3tEtsqXi+caQAXjYYpIUm93opIED1VceQD9mm/TGMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:56:45.768536Z"},"content_sha256":"e82ba441f2ca1ef4934b4a600409ab5cade2bea8ab6b4c8133030442d873068d","schema_version":"1.0","event_id":"sha256:e82ba441f2ca1ef4934b4a600409ab5cade2bea8ab6b4c8133030442d873068d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3FESGIEQXJUQSSNMHOVKTVVI33/bundle.json","state_url":"https://pith.science/pith/3FESGIEQXJUQSSNMHOVKTVVI33/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3FESGIEQXJUQSSNMHOVKTVVI33/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":"2026-06-11T22:56:45Z","links":{"resolver":"https://pith.science/pith/3FESGIEQXJUQSSNMHOVKTVVI33","bundle":"https://pith.science/pith/3FESGIEQXJUQSSNMHOVKTVVI33/bundle.json","state":"https://pith.science/pith/3FESGIEQXJUQSSNMHOVKTVVI33/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3FESGIEQXJUQSSNMHOVKTVVI33/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3FESGIEQXJUQSSNMHOVKTVVI33","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":"391ba5bc198ef08314e72f8d7d4b40cbb68008cd76ff4ef4594b27d12c12af70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-08-11T23:02:51Z","title_canon_sha256":"bfec42e31daf30c2e7b641fc262e181a48649c81156825b3ce015372ff123ec8"},"schema_version":"1.0","source":{"id":"1708.05066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05066","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05066v1","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05066","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"3FESGIEQXJUQ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3FESGIEQXJUQSSNM","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3FESGIEQ","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:e82ba441f2ca1ef4934b4a600409ab5cade2bea8ab6b4c8133030442d873068d","target":"graph","created_at":"2026-05-18T00:02:49Z","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":"Thermal systems are an attractive setting for exploring the connections between the lumped-element approximations of elementary circuit theory and the partial-differential field equations of mathematical physics, a topic that has been neglected in physics curricula. In a calculation suitable for an undergraduate course in mathematical physics, we show that the response function between an oscillating heater and temperature probe has a smooth crossover between a low-frequency, \"lumped-element\" regime where the system behaves as an electrical capacitor and a high-frequency regime dominated by th","authors_text":"John Bechhoefer, Matthew Frick, Swapnil Gupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-08-11T23:02:51Z","title":"From rods to blobs: When geometry is irrelevant for heat diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05066","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:e0bf286ac77a1e2558ddadeb85cb3446f580b6152a388459f96effd7ee523487","target":"record","created_at":"2026-05-18T00:02:49Z","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":"391ba5bc198ef08314e72f8d7d4b40cbb68008cd76ff4ef4594b27d12c12af70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-08-11T23:02:51Z","title_canon_sha256":"bfec42e31daf30c2e7b641fc262e181a48649c81156825b3ce015372ff123ec8"},"schema_version":"1.0","source":{"id":"1708.05066","kind":"arxiv","version":1}},"canonical_sha256":"d949232090ba690949ac3baaa9d6a8dedcda355ea96d35e98ae10c6fdff3da99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d949232090ba690949ac3baaa9d6a8dedcda355ea96d35e98ae10c6fdff3da99","first_computed_at":"2026-05-18T00:02:49.816664Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:49.816664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GqK5hzTixStJWDbqRAsq1Da2QZSqkuGmNOkUTLSeVY47KCj096ziIS5AmADs/V7nn+87bLRyxXKsRkrkaHfOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:49.817305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0bf286ac77a1e2558ddadeb85cb3446f580b6152a388459f96effd7ee523487","sha256:e82ba441f2ca1ef4934b4a600409ab5cade2bea8ab6b4c8133030442d873068d"],"state_sha256":"c71c8a83901fe6c562b02c4bd227b15f1f85a0148cc13d3d2de3bd424e88c7ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CtbsyJNehPiD7ZVu8SSd+VkX4QbduLTlNNE3w7dRRq3bwVzrWBFF8Fj9o6DQksaQWJ21VYdlZ5rzBPktrGHUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:56:45.772531Z","bundle_sha256":"60467c1afe74c713a5632b4dba7d8219770d8c1134cbed3d77392d543895c784"}}