{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EIPNYGRSCX5YQIY45LVK6NDIVF","short_pith_number":"pith:EIPNYGRS","canonical_record":{"source":{"id":"1709.04015","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-12T18:48:16Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"a65141350b2c55a21f5dec9d9cc9aecbb1a973a6016717b74740b7816c226c18","abstract_canon_sha256":"70a04147d297374cbc369480d250149a23a1eb03f045f63bea46c0786f46df68"},"schema_version":"1.0"},"canonical_sha256":"221edc1a3215fb88231ceaeaaf3468a965ae0a4827e9f33e761a286d78937726","source":{"kind":"arxiv","id":"1709.04015","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04015","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04015v1","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04015","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"EIPNYGRSCX5Y","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EIPNYGRSCX5YQIY4","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EIPNYGRS","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EIPNYGRSCX5YQIY45LVK6NDIVF","target":"record","payload":{"canonical_record":{"source":{"id":"1709.04015","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-12T18:48:16Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"a65141350b2c55a21f5dec9d9cc9aecbb1a973a6016717b74740b7816c226c18","abstract_canon_sha256":"70a04147d297374cbc369480d250149a23a1eb03f045f63bea46c0786f46df68"},"schema_version":"1.0"},"canonical_sha256":"221edc1a3215fb88231ceaeaaf3468a965ae0a4827e9f33e761a286d78937726","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:15.712827Z","signature_b64":"DD9PA4viu/LPLBQ9piT5LR4kQzyFdTx/DIihedjyjO15XclLYw68LVtDHBQjZd8RhKKWABXA+gsv/nJOSGg8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"221edc1a3215fb88231ceaeaaf3468a965ae0a4827e9f33e761a286d78937726","last_reissued_at":"2026-05-18T00:35:15.712289Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:15.712289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.04015","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":"2026-05-18T00:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oynaaz+gEv8Z31NvB4YiCYraEjk1Z6AvA6+91MUoMrmNucZVmA+j2FKKRMeZOR7jA6QlM6r15Vc1jCyZTt+QBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:29:25.948425Z"},"content_sha256":"cd9e3ff5c444623788ab821491d3a6251756fa5717359836d886916cc0cd9f55","schema_version":"1.0","event_id":"sha256:cd9e3ff5c444623788ab821491d3a6251756fa5717359836d886916cc0cd9f55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EIPNYGRSCX5YQIY45LVK6NDIVF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Network Clocks: Detecting the Temporal Scale of Information Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.SI","authors_text":"Daniel J. DiTursi, Gregorios A. Katsios, Petko Bogdanov","submitted_at":"2017-09-12T18:48:16Z","abstract_excerpt":"Information diffusion models typically assume a discrete timeline in which an information token spreads in the network. Since users in real-world networks vary significantly in their intensity and periods of activity, our objective in this work is to answer: How to determine a temporal scale that best agrees with the observed information propagation within a network? A key limitation of existing approaches is that they aggregate the timeline into fixed-size windows, which may not fit all network nodes' activity periods. We propose the notion of a heterogeneous network clock: a mapping of event"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04015","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":"2026-05-18T00:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n6G4SjwrJrsPD6vyh5Tu782LV1kI5tnN2YGZDLMEYBptYd8In3uXQrVgh7SZiOgZtKN7sZ3/0ZHqDPVMsDpjDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:29:25.949075Z"},"content_sha256":"52e378e78cb30e8053ad979e54f966d55ca6d996565741506ac9ae2fae743c55","schema_version":"1.0","event_id":"sha256:52e378e78cb30e8053ad979e54f966d55ca6d996565741506ac9ae2fae743c55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EIPNYGRSCX5YQIY45LVK6NDIVF/bundle.json","state_url":"https://pith.science/pith/EIPNYGRSCX5YQIY45LVK6NDIVF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EIPNYGRSCX5YQIY45LVK6NDIVF/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":"2026-05-26T23:29:25Z","links":{"resolver":"https://pith.science/pith/EIPNYGRSCX5YQIY45LVK6NDIVF","bundle":"https://pith.science/pith/EIPNYGRSCX5YQIY45LVK6NDIVF/bundle.json","state":"https://pith.science/pith/EIPNYGRSCX5YQIY45LVK6NDIVF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EIPNYGRSCX5YQIY45LVK6NDIVF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EIPNYGRSCX5YQIY45LVK6NDIVF","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":"70a04147d297374cbc369480d250149a23a1eb03f045f63bea46c0786f46df68","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-12T18:48:16Z","title_canon_sha256":"a65141350b2c55a21f5dec9d9cc9aecbb1a973a6016717b74740b7816c226c18"},"schema_version":"1.0","source":{"id":"1709.04015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04015","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04015v1","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04015","created_at":"2026-05-18T00:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"EIPNYGRSCX5Y","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EIPNYGRSCX5YQIY4","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EIPNYGRS","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:52e378e78cb30e8053ad979e54f966d55ca6d996565741506ac9ae2fae743c55","target":"graph","created_at":"2026-05-18T00:35:15Z","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":"Information diffusion models typically assume a discrete timeline in which an information token spreads in the network. Since users in real-world networks vary significantly in their intensity and periods of activity, our objective in this work is to answer: How to determine a temporal scale that best agrees with the observed information propagation within a network? A key limitation of existing approaches is that they aggregate the timeline into fixed-size windows, which may not fit all network nodes' activity periods. We propose the notion of a heterogeneous network clock: a mapping of event","authors_text":"Daniel J. DiTursi, Gregorios A. Katsios, Petko Bogdanov","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-12T18:48:16Z","title":"Network Clocks: Detecting the Temporal Scale of Information Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04015","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:cd9e3ff5c444623788ab821491d3a6251756fa5717359836d886916cc0cd9f55","target":"record","created_at":"2026-05-18T00:35:15Z","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":"70a04147d297374cbc369480d250149a23a1eb03f045f63bea46c0786f46df68","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-09-12T18:48:16Z","title_canon_sha256":"a65141350b2c55a21f5dec9d9cc9aecbb1a973a6016717b74740b7816c226c18"},"schema_version":"1.0","source":{"id":"1709.04015","kind":"arxiv","version":1}},"canonical_sha256":"221edc1a3215fb88231ceaeaaf3468a965ae0a4827e9f33e761a286d78937726","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"221edc1a3215fb88231ceaeaaf3468a965ae0a4827e9f33e761a286d78937726","first_computed_at":"2026-05-18T00:35:15.712289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:15.712289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DD9PA4viu/LPLBQ9piT5LR4kQzyFdTx/DIihedjyjO15XclLYw68LVtDHBQjZd8RhKKWABXA+gsv/nJOSGg8AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:15.712827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd9e3ff5c444623788ab821491d3a6251756fa5717359836d886916cc0cd9f55","sha256:52e378e78cb30e8053ad979e54f966d55ca6d996565741506ac9ae2fae743c55"],"state_sha256":"f06a5a01c220f7ee0fb73ded46be54b5b0fb577ae54434dea920a327d371550f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1G+/epEsngtObnsita4ksNa4n3CL4XQlpg0tOLXQeRCnJHAuBN4iWrB99SN4/dr8TpBNqhDp4+e79z6Ora9NCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:29:25.953079Z","bundle_sha256":"bdcd5f1aa8868f7325fc1bcb7bb9048cfccd4d1e17c3fe8584772fae1ce33cd0"}}