{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DVZS5RZGVIHZMD3YNLBN6PEZGH","short_pith_number":"pith:DVZS5RZG","canonical_record":{"source":{"id":"1409.7229","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-09-25T12:39:05Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"fd75d1cee1f9e8a53aa7e74b9e77e4a9124101cbdc6df2f57809a35c1fa4e117","abstract_canon_sha256":"0b7ec889a2c1c9b53df94b18e90a6a621fddf62aa0dfc9e044f1327fc571c5b7"},"schema_version":"1.0"},"canonical_sha256":"1d732ec726aa0f960f786ac2df3c9931c6fe28edc579202c03272dc9be44a387","source":{"kind":"arxiv","id":"1409.7229","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7229","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7229v2","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7229","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"pith_short_12","alias_value":"DVZS5RZGVIHZ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DVZS5RZGVIHZMD3Y","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DVZS5RZG","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DVZS5RZGVIHZMD3YNLBN6PEZGH","target":"record","payload":{"canonical_record":{"source":{"id":"1409.7229","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-09-25T12:39:05Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"fd75d1cee1f9e8a53aa7e74b9e77e4a9124101cbdc6df2f57809a35c1fa4e117","abstract_canon_sha256":"0b7ec889a2c1c9b53df94b18e90a6a621fddf62aa0dfc9e044f1327fc571c5b7"},"schema_version":"1.0"},"canonical_sha256":"1d732ec726aa0f960f786ac2df3c9931c6fe28edc579202c03272dc9be44a387","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:54.736068Z","signature_b64":"0haEYryGfI1s4jcSX1vYx96bPW6eT/Yubq6i7gH4jPLXkVomSl72xvB5IlBowjMifuVHEdbAo8KtvEhbSzE3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d732ec726aa0f960f786ac2df3c9931c6fe28edc579202c03272dc9be44a387","last_reissued_at":"2026-05-18T02:30:54.735586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:54.735586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.7229","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":"2026-05-18T02:30:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qt5XSLNKDTxGVQ6QwObnfQt5LQo4xlSZvSTN7yimQSx5xAj0R57N0ASTYoA7Ie1xuRLjo1eRMvYcBcuPXK+fDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T16:17:25.210559Z"},"content_sha256":"b1fad77ed478abcef4b2e37c7a945511d044684fd4b896c5af478883f04d7e86","schema_version":"1.0","event_id":"sha256:b1fad77ed478abcef4b2e37c7a945511d044684fd4b896c5af478883f04d7e86"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DVZS5RZGVIHZMD3YNLBN6PEZGH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariance property of wave scattering through disordered media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"physics.optics","authors_text":"Alexander Haber, Philipp Ambichl, R\\'emi Carminati, Romain Pierrat, Stefan Rotter, Sylvain Gigan","submitted_at":"2014-09-25T12:39:05Z","abstract_excerpt":"A fundamental insight in the theory of diffusive random walks is that the mean length of trajectories traversing a finite open system is independent of the details of the diffusion process. Instead, the mean trajectory length depends only on the system's boundary geometry and is thus unaffected by the value of the mean free path. Here we show that this result is rooted on a much deeper level than that of a random walk, which allows us to extend the reach of this universal invariance property beyond the diffusion approximation. Specifically, we demonstrate that an equivalent invariance relation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7229","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":"2026-05-18T02:30:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xHe6S8G4ePAWZVlRfNgcqj3nTDHlcLMFuluifVnZta6unQzWwVEWCQ+13YE0IkgkcywojCHlLa6FYTqcuwqnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T16:17:25.210911Z"},"content_sha256":"2acd96699d3f5b2adaeb0fd18cf767e86480774a6336b69df57be229b1c46192","schema_version":"1.0","event_id":"sha256:2acd96699d3f5b2adaeb0fd18cf767e86480774a6336b69df57be229b1c46192"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DVZS5RZGVIHZMD3YNLBN6PEZGH/bundle.json","state_url":"https://pith.science/pith/DVZS5RZGVIHZMD3YNLBN6PEZGH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DVZS5RZGVIHZMD3YNLBN6PEZGH/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":"2026-06-21T16:17:25Z","links":{"resolver":"https://pith.science/pith/DVZS5RZGVIHZMD3YNLBN6PEZGH","bundle":"https://pith.science/pith/DVZS5RZGVIHZMD3YNLBN6PEZGH/bundle.json","state":"https://pith.science/pith/DVZS5RZGVIHZMD3YNLBN6PEZGH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DVZS5RZGVIHZMD3YNLBN6PEZGH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DVZS5RZGVIHZMD3YNLBN6PEZGH","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":"0b7ec889a2c1c9b53df94b18e90a6a621fddf62aa0dfc9e044f1327fc571c5b7","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-09-25T12:39:05Z","title_canon_sha256":"fd75d1cee1f9e8a53aa7e74b9e77e4a9124101cbdc6df2f57809a35c1fa4e117"},"schema_version":"1.0","source":{"id":"1409.7229","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7229","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7229v2","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7229","created_at":"2026-05-18T02:30:54Z"},{"alias_kind":"pith_short_12","alias_value":"DVZS5RZGVIHZ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DVZS5RZGVIHZMD3Y","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DVZS5RZG","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:2acd96699d3f5b2adaeb0fd18cf767e86480774a6336b69df57be229b1c46192","target":"graph","created_at":"2026-05-18T02:30:54Z","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":"A fundamental insight in the theory of diffusive random walks is that the mean length of trajectories traversing a finite open system is independent of the details of the diffusion process. Instead, the mean trajectory length depends only on the system's boundary geometry and is thus unaffected by the value of the mean free path. Here we show that this result is rooted on a much deeper level than that of a random walk, which allows us to extend the reach of this universal invariance property beyond the diffusion approximation. Specifically, we demonstrate that an equivalent invariance relation","authors_text":"Alexander Haber, Philipp Ambichl, R\\'emi Carminati, Romain Pierrat, Stefan Rotter, Sylvain Gigan","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-09-25T12:39:05Z","title":"Invariance property of wave scattering through disordered media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7229","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:b1fad77ed478abcef4b2e37c7a945511d044684fd4b896c5af478883f04d7e86","target":"record","created_at":"2026-05-18T02:30:54Z","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":"0b7ec889a2c1c9b53df94b18e90a6a621fddf62aa0dfc9e044f1327fc571c5b7","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-09-25T12:39:05Z","title_canon_sha256":"fd75d1cee1f9e8a53aa7e74b9e77e4a9124101cbdc6df2f57809a35c1fa4e117"},"schema_version":"1.0","source":{"id":"1409.7229","kind":"arxiv","version":2}},"canonical_sha256":"1d732ec726aa0f960f786ac2df3c9931c6fe28edc579202c03272dc9be44a387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d732ec726aa0f960f786ac2df3c9931c6fe28edc579202c03272dc9be44a387","first_computed_at":"2026-05-18T02:30:54.735586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:54.735586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0haEYryGfI1s4jcSX1vYx96bPW6eT/Yubq6i7gH4jPLXkVomSl72xvB5IlBowjMifuVHEdbAo8KtvEhbSzE3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:54.736068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.7229","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1fad77ed478abcef4b2e37c7a945511d044684fd4b896c5af478883f04d7e86","sha256:2acd96699d3f5b2adaeb0fd18cf767e86480774a6336b69df57be229b1c46192"],"state_sha256":"875afa5b4fc8caf22573b6d7f7db59ac17ac806ba8ebb223931cfca226cb17a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nNH8oC8ZfzG86a+vRTwgvS0utHGKwV0kFxOFONwG+knQ9IUyGeK+UtyVBbVRpYvb01SBjNYdwPzbf11QJcyMBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T16:17:25.212845Z","bundle_sha256":"f16f66977ea2e3a1f0d48a3a19658fd33af7a10d37c91e4f732373dae71e0017"}}