{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6AJGJAZ5UX35EBRMECZVSKMDLG","short_pith_number":"pith:6AJGJAZ5","canonical_record":{"source":{"id":"1612.00339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-12-01T16:30:03Z","cross_cats_sorted":[],"title_canon_sha256":"d1aaceec197061e66583c314647fc1b17f5c706c0b034ab50269d61b90682661","abstract_canon_sha256":"2111b698d19a22d5995d85fa3a42238cf0d7bd27bb71ea9d216d28b3fe6f3cdb"},"schema_version":"1.0"},"canonical_sha256":"f01264833da5f7d2062c20b359298359af34c697b7fdff943b2849a8a2a8d81c","source":{"kind":"arxiv","id":"1612.00339","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00339","created_at":"2026-05-18T00:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00339v1","created_at":"2026-05-18T00:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00339","created_at":"2026-05-18T00:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"6AJGJAZ5UX35","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6AJGJAZ5UX35EBRM","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6AJGJAZ5","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6AJGJAZ5UX35EBRMECZVSKMDLG","target":"record","payload":{"canonical_record":{"source":{"id":"1612.00339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-12-01T16:30:03Z","cross_cats_sorted":[],"title_canon_sha256":"d1aaceec197061e66583c314647fc1b17f5c706c0b034ab50269d61b90682661","abstract_canon_sha256":"2111b698d19a22d5995d85fa3a42238cf0d7bd27bb71ea9d216d28b3fe6f3cdb"},"schema_version":"1.0"},"canonical_sha256":"f01264833da5f7d2062c20b359298359af34c697b7fdff943b2849a8a2a8d81c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:47.288145Z","signature_b64":"VtxkSKz8rKT0BKb+Hkpo6AKwPcw4NVPwzBhbRp/gTkEL9YWONltJ2F5a0jFVo517HHTcYsh2bDwB2vkcY1FwDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f01264833da5f7d2062c20b359298359af34c697b7fdff943b2849a8a2a8d81c","last_reissued_at":"2026-05-18T00:44:47.287563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:47.287563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.00339","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":"2026-05-18T00:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VUKHV6+KI+8TAEmmfxBqQQoH38uaxdv1XAS4kKOuAiWlFDtrtbpkWGm1zH14ZWMc+eUmIHyCRBMQIm4FBHvvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:27:25.989064Z"},"content_sha256":"02a103b3edbf21b0540b29d77bba4eb3fd726fca5fa2536cb59f0cabaa53d0e5","schema_version":"1.0","event_id":"sha256:02a103b3edbf21b0540b29d77bba4eb3fd726fca5fa2536cb59f0cabaa53d0e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6AJGJAZ5UX35EBRMECZVSKMDLG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous diffusion on a fractal mesh","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexander Iomin, Holger Kantz, Trifce Sandev","submitted_at":"2016-12-01T16:30:03Z","abstract_excerpt":"An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers. The fractal sets of both backbones and fingers are constructed on the entire (infinite) $y$ and $x$ axises. To this end we suggested a special algorithm of this special construction. The transport properties of the fractal mesh is studied, in particular, subdiffusion along the backbones is obtained with the dispersion relation $\\langle x^2(t)\\rangle\\sim t^{\\beta}$, where the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00339","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":"2026-05-18T00:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j57+niEbwadkSWovBDGAkAFSg4wHSvs6pPQLFzAyyG1s2TE5PUkn7go9eO2C9xLfEV9n7RNtoBkcm235AeCvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:27:25.989420Z"},"content_sha256":"10a8a538864c878c787838dc04d816324b7fc0169fa0b1d1ea755a648c24cb74","schema_version":"1.0","event_id":"sha256:10a8a538864c878c787838dc04d816324b7fc0169fa0b1d1ea755a648c24cb74"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6AJGJAZ5UX35EBRMECZVSKMDLG/bundle.json","state_url":"https://pith.science/pith/6AJGJAZ5UX35EBRMECZVSKMDLG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6AJGJAZ5UX35EBRMECZVSKMDLG/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":"2026-06-01T22:27:25Z","links":{"resolver":"https://pith.science/pith/6AJGJAZ5UX35EBRMECZVSKMDLG","bundle":"https://pith.science/pith/6AJGJAZ5UX35EBRMECZVSKMDLG/bundle.json","state":"https://pith.science/pith/6AJGJAZ5UX35EBRMECZVSKMDLG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6AJGJAZ5UX35EBRMECZVSKMDLG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6AJGJAZ5UX35EBRMECZVSKMDLG","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":"2111b698d19a22d5995d85fa3a42238cf0d7bd27bb71ea9d216d28b3fe6f3cdb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-12-01T16:30:03Z","title_canon_sha256":"d1aaceec197061e66583c314647fc1b17f5c706c0b034ab50269d61b90682661"},"schema_version":"1.0","source":{"id":"1612.00339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00339","created_at":"2026-05-18T00:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00339v1","created_at":"2026-05-18T00:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00339","created_at":"2026-05-18T00:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"6AJGJAZ5UX35","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6AJGJAZ5UX35EBRM","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6AJGJAZ5","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:10a8a538864c878c787838dc04d816324b7fc0169fa0b1d1ea755a648c24cb74","target":"graph","created_at":"2026-05-18T00:44:47Z","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":"An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers. The fractal sets of both backbones and fingers are constructed on the entire (infinite) $y$ and $x$ axises. To this end we suggested a special algorithm of this special construction. The transport properties of the fractal mesh is studied, in particular, subdiffusion along the backbones is obtained with the dispersion relation $\\langle x^2(t)\\rangle\\sim t^{\\beta}$, where the ","authors_text":"Alexander Iomin, Holger Kantz, Trifce Sandev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-12-01T16:30:03Z","title":"Anomalous diffusion on a fractal mesh"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00339","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":"sha256:02a103b3edbf21b0540b29d77bba4eb3fd726fca5fa2536cb59f0cabaa53d0e5","target":"record","created_at":"2026-05-18T00:44:47Z","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":"2111b698d19a22d5995d85fa3a42238cf0d7bd27bb71ea9d216d28b3fe6f3cdb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-12-01T16:30:03Z","title_canon_sha256":"d1aaceec197061e66583c314647fc1b17f5c706c0b034ab50269d61b90682661"},"schema_version":"1.0","source":{"id":"1612.00339","kind":"arxiv","version":1}},"canonical_sha256":"f01264833da5f7d2062c20b359298359af34c697b7fdff943b2849a8a2a8d81c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f01264833da5f7d2062c20b359298359af34c697b7fdff943b2849a8a2a8d81c","first_computed_at":"2026-05-18T00:44:47.287563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:47.287563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VtxkSKz8rKT0BKb+Hkpo6AKwPcw4NVPwzBhbRp/gTkEL9YWONltJ2F5a0jFVo517HHTcYsh2bDwB2vkcY1FwDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:47.288145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.00339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02a103b3edbf21b0540b29d77bba4eb3fd726fca5fa2536cb59f0cabaa53d0e5","sha256:10a8a538864c878c787838dc04d816324b7fc0169fa0b1d1ea755a648c24cb74"],"state_sha256":"5d2a48d482fc39724e75ec529da08111ac9df4057514b67b48cf71b3b92bcf24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eAqIzQWYLUM8KTOUYGxmwYHGJTGYqHapPK2YPTV7jbVxgPAvErCwTWHwVx1vX3UrVRj1UF8/MhCYXKqknBE7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:27:25.991259Z","bundle_sha256":"7385e74416a7481eb9bc7afb59da5f6df391a008990daaaf2a2f2f12e4d3dae0"}}