{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4G476SHXD2Z5DPBQAZBOE2OIXG","short_pith_number":"pith:4G476SHX","canonical_record":{"source":{"id":"1605.01451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-05-04T22:55:17Z","cross_cats_sorted":["cs.GT","cs.LG"],"title_canon_sha256":"85556034c13c55e62b89be1d386e498bc35fc43ce47e1fa8c91f53d15adc8832","abstract_canon_sha256":"8bc24c4e81b8f1b8daed411d48b4753344892873fe0f2f088a3d0e815b5dc857"},"schema_version":"1.0"},"canonical_sha256":"e1b9ff48f71eb3d1bc300642e269c8b998bcf3b34b7886d9f7ab039c312081de","source":{"kind":"arxiv","id":"1605.01451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01451","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01451v1","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01451","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"4G476SHXD2Z5","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4G476SHXD2Z5DPBQ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4G476SHX","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4G476SHXD2Z5DPBQAZBOE2OIXG","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-05-04T22:55:17Z","cross_cats_sorted":["cs.GT","cs.LG"],"title_canon_sha256":"85556034c13c55e62b89be1d386e498bc35fc43ce47e1fa8c91f53d15adc8832","abstract_canon_sha256":"8bc24c4e81b8f1b8daed411d48b4753344892873fe0f2f088a3d0e815b5dc857"},"schema_version":"1.0"},"canonical_sha256":"e1b9ff48f71eb3d1bc300642e269c8b998bcf3b34b7886d9f7ab039c312081de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:33.668656Z","signature_b64":"1Isr+xG7FWu/d0zIgtf0ecUrSRFLzPCCdz662pL+Srz85bAotb3S6GscJVINQ8tXaUQZDjaUIsNLWZI13cqoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1b9ff48f71eb3d1bc300642e269c8b998bcf3b34b7886d9f7ab039c312081de","last_reissued_at":"2026-05-18T01:15:33.668003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:33.668003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01451","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":"2026-05-18T01:15:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pIMwhBqd49pAVmp/W1XPB2IlGl3vGRZnG0MKrjQ2p0yVmOuipOogrSNbw6R8QpZeRfeuL9EE+oQ3sZfHVmFUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:06:17.737069Z"},"content_sha256":"b45b412bdfce5269fbc655b60f13fbcf1e2a69408a908d5cbbf43e285568e0b2","schema_version":"1.0","event_id":"sha256:b45b412bdfce5269fbc655b60f13fbcf1e2a69408a908d5cbbf43e285568e0b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4G476SHXD2Z5DPBQAZBOE2OIXG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boltzmann meets Nash: Energy-efficient routing in optical networks under uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","cs.LG"],"primary_cat":"cs.NI","authors_text":"Anna Tzanakaki, Aris L. Moustakas, Panayotis Mertikopoulos","submitted_at":"2016-05-04T22:55:17Z","abstract_excerpt":"Motivated by the massive deployment of power-hungry data centers for service provisioning, we examine the problem of routing in optical networks with the aim of minimizing traffic-driven power consumption. To tackle this issue, routing must take into account energy efficiency as well as capacity considerations; moreover, in rapidly-varying network environments, this must be accomplished in a real-time, distributed manner that remains robust in the presence of random disturbances and noise. In view of this, we derive a pricing scheme whose Nash equilibria coincide with the network's socially op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01451","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":"2026-05-18T01:15:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T98chAWNRFu4c+oxRcE3BaA4wAyjeDISeJMYjFu84/EB37sLzvCCYwwaOKGWpOqlbada+Ho5o33YRr57I8XYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:06:17.737420Z"},"content_sha256":"ba43e04666ee1e7c39c3633cf910319bbe0c11e1bf8cca2207b43016006e4c19","schema_version":"1.0","event_id":"sha256:ba43e04666ee1e7c39c3633cf910319bbe0c11e1bf8cca2207b43016006e4c19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4G476SHXD2Z5DPBQAZBOE2OIXG/bundle.json","state_url":"https://pith.science/pith/4G476SHXD2Z5DPBQAZBOE2OIXG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4G476SHXD2Z5DPBQAZBOE2OIXG/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":"2026-06-20T08:06:17Z","links":{"resolver":"https://pith.science/pith/4G476SHXD2Z5DPBQAZBOE2OIXG","bundle":"https://pith.science/pith/4G476SHXD2Z5DPBQAZBOE2OIXG/bundle.json","state":"https://pith.science/pith/4G476SHXD2Z5DPBQAZBOE2OIXG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4G476SHXD2Z5DPBQAZBOE2OIXG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4G476SHXD2Z5DPBQAZBOE2OIXG","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":"8bc24c4e81b8f1b8daed411d48b4753344892873fe0f2f088a3d0e815b5dc857","cross_cats_sorted":["cs.GT","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-05-04T22:55:17Z","title_canon_sha256":"85556034c13c55e62b89be1d386e498bc35fc43ce47e1fa8c91f53d15adc8832"},"schema_version":"1.0","source":{"id":"1605.01451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01451","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01451v1","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01451","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"4G476SHXD2Z5","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4G476SHXD2Z5DPBQ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4G476SHX","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:ba43e04666ee1e7c39c3633cf910319bbe0c11e1bf8cca2207b43016006e4c19","target":"graph","created_at":"2026-05-18T01:15:33Z","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":"Motivated by the massive deployment of power-hungry data centers for service provisioning, we examine the problem of routing in optical networks with the aim of minimizing traffic-driven power consumption. To tackle this issue, routing must take into account energy efficiency as well as capacity considerations; moreover, in rapidly-varying network environments, this must be accomplished in a real-time, distributed manner that remains robust in the presence of random disturbances and noise. In view of this, we derive a pricing scheme whose Nash equilibria coincide with the network's socially op","authors_text":"Anna Tzanakaki, Aris L. Moustakas, Panayotis Mertikopoulos","cross_cats":["cs.GT","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-05-04T22:55:17Z","title":"Boltzmann meets Nash: Energy-efficient routing in optical networks under uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01451","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:b45b412bdfce5269fbc655b60f13fbcf1e2a69408a908d5cbbf43e285568e0b2","target":"record","created_at":"2026-05-18T01:15:33Z","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":"8bc24c4e81b8f1b8daed411d48b4753344892873fe0f2f088a3d0e815b5dc857","cross_cats_sorted":["cs.GT","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-05-04T22:55:17Z","title_canon_sha256":"85556034c13c55e62b89be1d386e498bc35fc43ce47e1fa8c91f53d15adc8832"},"schema_version":"1.0","source":{"id":"1605.01451","kind":"arxiv","version":1}},"canonical_sha256":"e1b9ff48f71eb3d1bc300642e269c8b998bcf3b34b7886d9f7ab039c312081de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1b9ff48f71eb3d1bc300642e269c8b998bcf3b34b7886d9f7ab039c312081de","first_computed_at":"2026-05-18T01:15:33.668003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:33.668003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Isr+xG7FWu/d0zIgtf0ecUrSRFLzPCCdz662pL+Srz85bAotb3S6GscJVINQ8tXaUQZDjaUIsNLWZI13cqoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:33.668656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b45b412bdfce5269fbc655b60f13fbcf1e2a69408a908d5cbbf43e285568e0b2","sha256:ba43e04666ee1e7c39c3633cf910319bbe0c11e1bf8cca2207b43016006e4c19"],"state_sha256":"2660ff5687211c15da02edce81a2bfab054e5b2cb55fe30f5182ad19a168cdc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6PHD8LhSX5SFhoerihGkriMwz+IrOpD9BxXf5txQKd/GmB2MZZ5nhkEMYl7UazwXSoxpIgGl1EdCzK9oTQoKBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T08:06:17.740271Z","bundle_sha256":"16ed44ace1dc94fefa665dd2ad822524dac089d81c7467522b1bec6864501e14"}}