{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:DG5MRDT37OH2IF6GPW2IUYZQNI","short_pith_number":"pith:DG5MRDT3","canonical_record":{"source":{"id":"1008.3336","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-08-19T16:00:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"03acadf98d05c8fe6c225de00c2dd9ccc4ed6a84788390282933839a2413d1ca","abstract_canon_sha256":"36dd83519d5b3a353a15e6834141fef0769de30c021f215ba39096cb45d94d12"},"schema_version":"1.0"},"canonical_sha256":"19bac88e7bfb8fa417c67db48a63306a15dc435ed0e815e624aac9e90df41335","source":{"kind":"arxiv","id":"1008.3336","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3336","created_at":"2026-05-18T02:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3336v3","created_at":"2026-05-18T02:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3336","created_at":"2026-05-18T02:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"DG5MRDT37OH2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DG5MRDT37OH2IF6G","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DG5MRDT3","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:DG5MRDT37OH2IF6GPW2IUYZQNI","target":"record","payload":{"canonical_record":{"source":{"id":"1008.3336","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-08-19T16:00:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"03acadf98d05c8fe6c225de00c2dd9ccc4ed6a84788390282933839a2413d1ca","abstract_canon_sha256":"36dd83519d5b3a353a15e6834141fef0769de30c021f215ba39096cb45d94d12"},"schema_version":"1.0"},"canonical_sha256":"19bac88e7bfb8fa417c67db48a63306a15dc435ed0e815e624aac9e90df41335","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:46.595782Z","signature_b64":"CdcGs8ve7CoRSHc6sPAlXJGPPPKsN3QaIgPl051ZYVUCdUEhbM8cQocmfK8atsXiU7lLCvS2AwPuLjxbzMWEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19bac88e7bfb8fa417c67db48a63306a15dc435ed0e815e624aac9e90df41335","last_reissued_at":"2026-05-18T02:05:46.595080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:46.595080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.3336","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":"2026-05-18T02:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Fw6ScutozFCOtHcphwA0XZIpzlHWSZ59w7MLwIljwjFYndCY5yodzr+ofE9mga1nKSPyctZC+HXgqiTFc/RDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:08:21.220922Z"},"content_sha256":"3a10e6403c0885e7ef6e76babe849c96a83e2028d6e7637c2f0bfd380681568f","schema_version":"1.0","event_id":"sha256:3a10e6403c0885e7ef6e76babe849c96a83e2028d6e7637c2f0bfd380681568f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:DG5MRDT37OH2IF6GPW2IUYZQNI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electromagnetic energy-momentum in dispersive media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.optics","authors_text":"T. G. Philbin","submitted_at":"2010-08-19T16:00:34Z","abstract_excerpt":"The standard derivations of electromagnetic energy and momentum in media take Maxwell's equations as the starting point. It is well known that for dispersive media this approach does not directly yield exact expressions for the energy and momentum densities. Although Maxwell's equations fully describe electromagnetic fields, the general approach to conserved quantities in field theory is not based on the field equations, but rather on the action. Here an action principle for macroscopic electromagnetism in dispersive, lossless media is used to derive the exact conserved energy-momentum tensor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3336","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":"2026-05-18T02:05:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1khVXSM3qaQoNC2UfHyvcRrXKwZBTSwkb3zgXJAgw68twWsKHtXlOx3hNaIiboLV6pUwu7DKnh+4C+IdzuFNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:08:21.221270Z"},"content_sha256":"2bfba8d6d33f51ae4daffe2ff33cf130af72ef384279b6b2b0728eb5ebfea586","schema_version":"1.0","event_id":"sha256:2bfba8d6d33f51ae4daffe2ff33cf130af72ef384279b6b2b0728eb5ebfea586"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DG5MRDT37OH2IF6GPW2IUYZQNI/bundle.json","state_url":"https://pith.science/pith/DG5MRDT37OH2IF6GPW2IUYZQNI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DG5MRDT37OH2IF6GPW2IUYZQNI/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":"2026-06-24T01:08:21Z","links":{"resolver":"https://pith.science/pith/DG5MRDT37OH2IF6GPW2IUYZQNI","bundle":"https://pith.science/pith/DG5MRDT37OH2IF6GPW2IUYZQNI/bundle.json","state":"https://pith.science/pith/DG5MRDT37OH2IF6GPW2IUYZQNI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DG5MRDT37OH2IF6GPW2IUYZQNI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DG5MRDT37OH2IF6GPW2IUYZQNI","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":"36dd83519d5b3a353a15e6834141fef0769de30c021f215ba39096cb45d94d12","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-08-19T16:00:34Z","title_canon_sha256":"03acadf98d05c8fe6c225de00c2dd9ccc4ed6a84788390282933839a2413d1ca"},"schema_version":"1.0","source":{"id":"1008.3336","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3336","created_at":"2026-05-18T02:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3336v3","created_at":"2026-05-18T02:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3336","created_at":"2026-05-18T02:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"DG5MRDT37OH2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DG5MRDT37OH2IF6G","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DG5MRDT3","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:2bfba8d6d33f51ae4daffe2ff33cf130af72ef384279b6b2b0728eb5ebfea586","target":"graph","created_at":"2026-05-18T02:05:46Z","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 standard derivations of electromagnetic energy and momentum in media take Maxwell's equations as the starting point. It is well known that for dispersive media this approach does not directly yield exact expressions for the energy and momentum densities. Although Maxwell's equations fully describe electromagnetic fields, the general approach to conserved quantities in field theory is not based on the field equations, but rather on the action. Here an action principle for macroscopic electromagnetism in dispersive, lossless media is used to derive the exact conserved energy-momentum tensor.","authors_text":"T. G. Philbin","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-08-19T16:00:34Z","title":"Electromagnetic energy-momentum in dispersive media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3336","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":"sha256:3a10e6403c0885e7ef6e76babe849c96a83e2028d6e7637c2f0bfd380681568f","target":"record","created_at":"2026-05-18T02:05:46Z","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":"36dd83519d5b3a353a15e6834141fef0769de30c021f215ba39096cb45d94d12","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-08-19T16:00:34Z","title_canon_sha256":"03acadf98d05c8fe6c225de00c2dd9ccc4ed6a84788390282933839a2413d1ca"},"schema_version":"1.0","source":{"id":"1008.3336","kind":"arxiv","version":3}},"canonical_sha256":"19bac88e7bfb8fa417c67db48a63306a15dc435ed0e815e624aac9e90df41335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19bac88e7bfb8fa417c67db48a63306a15dc435ed0e815e624aac9e90df41335","first_computed_at":"2026-05-18T02:05:46.595080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:46.595080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CdcGs8ve7CoRSHc6sPAlXJGPPPKsN3QaIgPl051ZYVUCdUEhbM8cQocmfK8atsXiU7lLCvS2AwPuLjxbzMWEDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:46.595782Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3336","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a10e6403c0885e7ef6e76babe849c96a83e2028d6e7637c2f0bfd380681568f","sha256:2bfba8d6d33f51ae4daffe2ff33cf130af72ef384279b6b2b0728eb5ebfea586"],"state_sha256":"f392779aece4f6f3226a9e4213a715230758169dedcdf5fb5f18323fcd8906e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kt3JEeCxv97VMPkJUAqvj5NFn6Vju+ryk4AMtrDBluOj8Uh2o509jEhhxFkZY0qPszYqCBf4f0x7mIzI3hFdBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T01:08:21.223219Z","bundle_sha256":"6502ec14b1f4605819ce15247d867d564cc65213cda0329f22f34751798b6ffa"}}