{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:C6TBUYCFXQKQIPZHRO7JHCPPBF","short_pith_number":"pith:C6TBUYCF","canonical_record":{"source":{"id":"1407.7523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-07-28T21:32:32Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e28defa2a399787ecfb73ccf26c0315d93015f7b6ab3cb6a0f53fe47eb1f1cc0","abstract_canon_sha256":"08b7eb5666dfdf6af692dda76fa4fc4bb87dbc667a4397935232b4faf5b677ca"},"schema_version":"1.0"},"canonical_sha256":"17a61a6045bc15043f278bbe9389ef09459c828e97841a5db327d23c813543c3","source":{"kind":"arxiv","id":"1407.7523","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7523","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7523v1","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7523","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"C6TBUYCFXQKQ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C6TBUYCFXQKQIPZH","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C6TBUYCF","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:C6TBUYCFXQKQIPZHRO7JHCPPBF","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-07-28T21:32:32Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e28defa2a399787ecfb73ccf26c0315d93015f7b6ab3cb6a0f53fe47eb1f1cc0","abstract_canon_sha256":"08b7eb5666dfdf6af692dda76fa4fc4bb87dbc667a4397935232b4faf5b677ca"},"schema_version":"1.0"},"canonical_sha256":"17a61a6045bc15043f278bbe9389ef09459c828e97841a5db327d23c813543c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:22.420296Z","signature_b64":"858SCtAizNBlh493cxks+qIVrLG9dRT1ilJaMcTKO9PccAqolSywzQ+7JAGm3rlITQd2Ez5No4kORrjWytAIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17a61a6045bc15043f278bbe9389ef09459c828e97841a5db327d23c813543c3","last_reissued_at":"2026-05-18T02:46:22.419647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:22.419647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7523","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":"2026-05-18T02:46:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3CpdbFa/qfD5AmpVuK+GrOWY0Z813zlEPQ9H/nLtS8FnnNPDYfPXX2Ikay8R4srQ8pLd+UBQ6Chx5VDONhUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:59:20.895407Z"},"content_sha256":"508d4ab23786e328b10784c22bd66fe52ffd93b178d047bf18cfe3039f9186bf","schema_version":"1.0","event_id":"sha256:508d4ab23786e328b10784c22bd66fe52ffd93b178d047bf18cfe3039f9186bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:C6TBUYCFXQKQIPZHRO7JHCPPBF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of swollen fractal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.comp-ph","authors_text":"Alvaro V. N. C. Teixeira, Pedro Licinio","submitted_at":"2014-07-28T21:32:32Z","abstract_excerpt":"The dynamics of swollen fractal networks (Rouse model) has been studied through computer simulations. The fluctuation-relaxation theorem was used instead of the usual Langevin approach to Brownian dynamics. We measured the equivalent of the mean square displacement $\\langle \\vec r^{\\,2} \\rangle$ and the coefficient of self-diffusion $D$ of two-and three-dimensional Sierpinski networks and of the two-dimensional percolation network. The results showed an anomalous diffusion, i. e., a power law for $D$, decreasing with time with an exponent proportional to the spectral dimension of the network."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7523","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":"2026-05-18T02:46:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wmp8A/YRAMLeY1ASGhsgpydQoEJe+7OL8VpZlIrkmeYChJmMHBa8NeGeGmf4MBbxRckHQInv/AE1TXwRnSlTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:59:20.895936Z"},"content_sha256":"d61afb9e5793f482971d0efbd32318efc64aae741d6515bd7317c86bb5c76a90","schema_version":"1.0","event_id":"sha256:d61afb9e5793f482971d0efbd32318efc64aae741d6515bd7317c86bb5c76a90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/bundle.json","state_url":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/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":"2026-06-06T18:59:20Z","links":{"resolver":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF","bundle":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/bundle.json","state":"https://pith.science/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C6TBUYCFXQKQIPZHRO7JHCPPBF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:C6TBUYCFXQKQIPZHRO7JHCPPBF","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":"08b7eb5666dfdf6af692dda76fa4fc4bb87dbc667a4397935232b4faf5b677ca","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-07-28T21:32:32Z","title_canon_sha256":"e28defa2a399787ecfb73ccf26c0315d93015f7b6ab3cb6a0f53fe47eb1f1cc0"},"schema_version":"1.0","source":{"id":"1407.7523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7523","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7523v1","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7523","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"C6TBUYCFXQKQ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C6TBUYCFXQKQIPZH","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C6TBUYCF","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:d61afb9e5793f482971d0efbd32318efc64aae741d6515bd7317c86bb5c76a90","target":"graph","created_at":"2026-05-18T02:46:22Z","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 dynamics of swollen fractal networks (Rouse model) has been studied through computer simulations. The fluctuation-relaxation theorem was used instead of the usual Langevin approach to Brownian dynamics. We measured the equivalent of the mean square displacement $\\langle \\vec r^{\\,2} \\rangle$ and the coefficient of self-diffusion $D$ of two-and three-dimensional Sierpinski networks and of the two-dimensional percolation network. The results showed an anomalous diffusion, i. e., a power law for $D$, decreasing with time with an exponent proportional to the spectral dimension of the network.","authors_text":"Alvaro V. N. C. Teixeira, Pedro Licinio","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-07-28T21:32:32Z","title":"Dynamics of swollen fractal networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7523","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":"sha256:508d4ab23786e328b10784c22bd66fe52ffd93b178d047bf18cfe3039f9186bf","target":"record","created_at":"2026-05-18T02:46:22Z","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":"08b7eb5666dfdf6af692dda76fa4fc4bb87dbc667a4397935232b4faf5b677ca","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-07-28T21:32:32Z","title_canon_sha256":"e28defa2a399787ecfb73ccf26c0315d93015f7b6ab3cb6a0f53fe47eb1f1cc0"},"schema_version":"1.0","source":{"id":"1407.7523","kind":"arxiv","version":1}},"canonical_sha256":"17a61a6045bc15043f278bbe9389ef09459c828e97841a5db327d23c813543c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17a61a6045bc15043f278bbe9389ef09459c828e97841a5db327d23c813543c3","first_computed_at":"2026-05-18T02:46:22.419647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:22.419647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"858SCtAizNBlh493cxks+qIVrLG9dRT1ilJaMcTKO9PccAqolSywzQ+7JAGm3rlITQd2Ez5No4kORrjWytAIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:22.420296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:508d4ab23786e328b10784c22bd66fe52ffd93b178d047bf18cfe3039f9186bf","sha256:d61afb9e5793f482971d0efbd32318efc64aae741d6515bd7317c86bb5c76a90"],"state_sha256":"fcfbeb45392449ec420124ceaa0bb8bf320bfc3f5ee97c1683abcab37c306c57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnStnaaRvAtfqKHaqJH3SeVLe88A+UMJrUeoyqegeqRIk9tBZ/cm+0+p0gGHu8IQ2hVZDN+17F6dJFJzAX50Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:59:20.899350Z","bundle_sha256":"5867d9356226fe604a345eb4e37ad54fe9d2c3afe372f1e1cf1bc264e1ad3781"}}