{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MZFPXEDRRRD5XRBB3DHSBPQ5EN","short_pith_number":"pith:MZFPXEDR","canonical_record":{"source":{"id":"1109.6505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-09-29T12:35:51Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"1cc1e87855b5da8aa24c2c90b138afef87330f008e83654fec772070878e328d","abstract_canon_sha256":"b21835227685a3c951d218df826d10ef0bb7c72d66b0a0f7552740f27ac0ebb5"},"schema_version":"1.0"},"canonical_sha256":"664afb90718c47dbc421d8cf20be1d236247bcc93dba560f51d21b9612be7bef","source":{"kind":"arxiv","id":"1109.6505","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6505","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6505v1","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6505","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"MZFPXEDRRRD5","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MZFPXEDRRRD5XRBB","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MZFPXEDR","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MZFPXEDRRRD5XRBB3DHSBPQ5EN","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-09-29T12:35:51Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"1cc1e87855b5da8aa24c2c90b138afef87330f008e83654fec772070878e328d","abstract_canon_sha256":"b21835227685a3c951d218df826d10ef0bb7c72d66b0a0f7552740f27ac0ebb5"},"schema_version":"1.0"},"canonical_sha256":"664afb90718c47dbc421d8cf20be1d236247bcc93dba560f51d21b9612be7bef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:01.409524Z","signature_b64":"4QzU28VKN+TxqjoR0EnZ4Sl0O45KsObz3ldqI/Epgd8xYBqRE5GceuyK/75njG53ccT7nwKNU29Tu71IBElfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"664afb90718c47dbc421d8cf20be1d236247bcc93dba560f51d21b9612be7bef","last_reissued_at":"2026-05-18T04:12:01.409016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:01.409016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6505","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":"2026-05-18T04:12:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qsT8Kh07MHMdakPCQeyMqmtfTw5UQtD0AyUn6BmlH/Ar8lEIKf/6bIYkFUMIdotLaMg1FvaiCYJaPH85+pS2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:16:38.017261Z"},"content_sha256":"5909e983cb2ab41bd17384ced460985cf43b10bc2ebdafc6f56c18a365968ede","schema_version":"1.0","event_id":"sha256:5909e983cb2ab41bd17384ced460985cf43b10bc2ebdafc6f56c18a365968ede"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MZFPXEDRRRD5XRBB3DHSBPQ5EN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Reliability Value of Storage in a Volatile Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Ali ParandehGheibi, Asuman Ozdaglar, Mardavij Roozbehani, Munther A Dahleh","submitted_at":"2011-09-29T12:35:51Z","abstract_excerpt":"This paper examines the value of storage in securing reliability of a system with uncertain supply and demand, and supply friction. The storage is frictionless as a supply source, but once used, it cannot be filled up instantaneously. The focus application is a power supply network in which the base supply and demand are assumed to match perfectly, while deviations from the base are modeled as random shocks with stochastic arrivals. Due to friction, the random surge shocks cannot be tracked by the main supply sources. Storage, when available, can be used to compensate, fully or partially, for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6505","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":"2026-05-18T04:12:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OWLP49cyj4RoCN+FayJu6lSLO63T0pJPMo4nx/OHIP6+8JEKPNGOIT8+EV//28sQHPAZ2WxSNRP59dTo5TjhDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:16:38.017619Z"},"content_sha256":"fa8650c6b0329e25771172095aa7326d84eadfe06b1e8cdc2104b18026e9d956","schema_version":"1.0","event_id":"sha256:fa8650c6b0329e25771172095aa7326d84eadfe06b1e8cdc2104b18026e9d956"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZFPXEDRRRD5XRBB3DHSBPQ5EN/bundle.json","state_url":"https://pith.science/pith/MZFPXEDRRRD5XRBB3DHSBPQ5EN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZFPXEDRRRD5XRBB3DHSBPQ5EN/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":"2026-06-05T03:16:38Z","links":{"resolver":"https://pith.science/pith/MZFPXEDRRRD5XRBB3DHSBPQ5EN","bundle":"https://pith.science/pith/MZFPXEDRRRD5XRBB3DHSBPQ5EN/bundle.json","state":"https://pith.science/pith/MZFPXEDRRRD5XRBB3DHSBPQ5EN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZFPXEDRRRD5XRBB3DHSBPQ5EN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MZFPXEDRRRD5XRBB3DHSBPQ5EN","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":"b21835227685a3c951d218df826d10ef0bb7c72d66b0a0f7552740f27ac0ebb5","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-09-29T12:35:51Z","title_canon_sha256":"1cc1e87855b5da8aa24c2c90b138afef87330f008e83654fec772070878e328d"},"schema_version":"1.0","source":{"id":"1109.6505","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6505","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6505v1","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6505","created_at":"2026-05-18T04:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"MZFPXEDRRRD5","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MZFPXEDRRRD5XRBB","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MZFPXEDR","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:fa8650c6b0329e25771172095aa7326d84eadfe06b1e8cdc2104b18026e9d956","target":"graph","created_at":"2026-05-18T04:12:01Z","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":"This paper examines the value of storage in securing reliability of a system with uncertain supply and demand, and supply friction. The storage is frictionless as a supply source, but once used, it cannot be filled up instantaneously. The focus application is a power supply network in which the base supply and demand are assumed to match perfectly, while deviations from the base are modeled as random shocks with stochastic arrivals. Due to friction, the random surge shocks cannot be tracked by the main supply sources. Storage, when available, can be used to compensate, fully or partially, for ","authors_text":"Ali ParandehGheibi, Asuman Ozdaglar, Mardavij Roozbehani, Munther A Dahleh","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-09-29T12:35:51Z","title":"The Reliability Value of Storage in a Volatile Environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6505","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":"sha256:5909e983cb2ab41bd17384ced460985cf43b10bc2ebdafc6f56c18a365968ede","target":"record","created_at":"2026-05-18T04:12:01Z","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":"b21835227685a3c951d218df826d10ef0bb7c72d66b0a0f7552740f27ac0ebb5","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-09-29T12:35:51Z","title_canon_sha256":"1cc1e87855b5da8aa24c2c90b138afef87330f008e83654fec772070878e328d"},"schema_version":"1.0","source":{"id":"1109.6505","kind":"arxiv","version":1}},"canonical_sha256":"664afb90718c47dbc421d8cf20be1d236247bcc93dba560f51d21b9612be7bef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"664afb90718c47dbc421d8cf20be1d236247bcc93dba560f51d21b9612be7bef","first_computed_at":"2026-05-18T04:12:01.409016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:01.409016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4QzU28VKN+TxqjoR0EnZ4Sl0O45KsObz3ldqI/Epgd8xYBqRE5GceuyK/75njG53ccT7nwKNU29Tu71IBElfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:01.409524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6505","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5909e983cb2ab41bd17384ced460985cf43b10bc2ebdafc6f56c18a365968ede","sha256:fa8650c6b0329e25771172095aa7326d84eadfe06b1e8cdc2104b18026e9d956"],"state_sha256":"ecb60204b61430886477f4ffc2113fe036d3209cac13ec949be93c5e89a0bbc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pdSyfo+7HCNPgVXNjmgjx6GtLZchmNcqkiDVX5izblURsI7twu0Q/qRphtjSOcHWTEFXHHUccT/0UjGS/0scDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T03:16:38.019561Z","bundle_sha256":"626f89d4a87f7310d21fee79dc08e0ebec01447e066b095d3cac0790a3bbd35e"}}