{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VCX2VVEFWPQTPB7HQ7ODBJXOYL","short_pith_number":"pith:VCX2VVEF","canonical_record":{"source":{"id":"1403.1248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-03-05T20:48:13Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"365230ed149a64e70b9193ea803fa3a281ad2a9ec8f6b47320e3b45e36a5c5f3","abstract_canon_sha256":"f1f6003428d027ecc3a6bb3fd3fc4ca61487482bf037890ff7653a532beb4852"},"schema_version":"1.0"},"canonical_sha256":"a8afaad485b3e13787e787dc30a6eec2c44b8f8a97393a17a0809d22daff7d6f","source":{"kind":"arxiv","id":"1403.1248","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1248","created_at":"2026-05-18T02:57:00Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1248v1","created_at":"2026-05-18T02:57:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1248","created_at":"2026-05-18T02:57:00Z"},{"alias_kind":"pith_short_12","alias_value":"VCX2VVEFWPQT","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VCX2VVEFWPQTPB7H","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VCX2VVEF","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VCX2VVEFWPQTPB7HQ7ODBJXOYL","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-03-05T20:48:13Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"365230ed149a64e70b9193ea803fa3a281ad2a9ec8f6b47320e3b45e36a5c5f3","abstract_canon_sha256":"f1f6003428d027ecc3a6bb3fd3fc4ca61487482bf037890ff7653a532beb4852"},"schema_version":"1.0"},"canonical_sha256":"a8afaad485b3e13787e787dc30a6eec2c44b8f8a97393a17a0809d22daff7d6f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:00.357383Z","signature_b64":"ZcXHKfwUt9b2F9sABdtOVdFazjOt7acgAfi9yiXlreOhUoGiqFKUhA3AtzHaV1W56d144h6kM/ywCvVlUH/AAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8afaad485b3e13787e787dc30a6eec2c44b8f8a97393a17a0809d22daff7d6f","last_reissued_at":"2026-05-18T02:57:00.356921Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:00.356921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1248","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":"2026-05-18T02:57:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TwrNBLLYnlxU5Wgx/iyN6IkwhClpsx18C7uDiMeC+2rX7rFfEeq6pOrjShe+YeC30WPBWaRloSQi3efCjXLMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:47:15.961782Z"},"content_sha256":"3928d872b37348cdfb92d4b1c0f5491fdbcff1c0e66ab870fa9033b88fceaafc","schema_version":"1.0","event_id":"sha256:3928d872b37348cdfb92d4b1c0f5491fdbcff1c0e66ab870fa9033b88fceaafc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VCX2VVEFWPQTPB7HQ7ODBJXOYL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrating Energy Storage into the Smart Grid: A Prospect Theoretic Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.GT","authors_text":"H. Vincent Poor, Narayan B. Mandayam, Walid Saad, Yunpeng Wang","submitted_at":"2014-03-05T20:48:13Z","abstract_excerpt":"In this paper, the interactions and energy exchange decisions of a number of geographically distributed storage units are studied under decision-making involving end-users. In particular, a noncooperative game is formulated between customer-owned storage units where each storage unit's owner can decide on whether to charge or discharge energy with a given probability so as to maximize a utility that reflects the tradeoff between the monetary transactions from charging/discharging and the penalty from power regulation. Unlike existing game-theoretic works which assume that players make their de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1248","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":"2026-05-18T02:57:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3g82oiAhoWb0wW22YXLxDjjjowUBjC7nFtWQr0DrHbGHYzLwujvZ/BpktBhw5j+qvWo26BLwOID4EvOE1hKLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:47:15.962532Z"},"content_sha256":"b37855bbbde2dbc569dd0574304d1ed3ec5e9eca58d7362011b7dc28a5cb2950","schema_version":"1.0","event_id":"sha256:b37855bbbde2dbc569dd0574304d1ed3ec5e9eca58d7362011b7dc28a5cb2950"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VCX2VVEFWPQTPB7HQ7ODBJXOYL/bundle.json","state_url":"https://pith.science/pith/VCX2VVEFWPQTPB7HQ7ODBJXOYL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VCX2VVEFWPQTPB7HQ7ODBJXOYL/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":"2026-06-11T08:47:15Z","links":{"resolver":"https://pith.science/pith/VCX2VVEFWPQTPB7HQ7ODBJXOYL","bundle":"https://pith.science/pith/VCX2VVEFWPQTPB7HQ7ODBJXOYL/bundle.json","state":"https://pith.science/pith/VCX2VVEFWPQTPB7HQ7ODBJXOYL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VCX2VVEFWPQTPB7HQ7ODBJXOYL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VCX2VVEFWPQTPB7HQ7ODBJXOYL","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":"f1f6003428d027ecc3a6bb3fd3fc4ca61487482bf037890ff7653a532beb4852","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-03-05T20:48:13Z","title_canon_sha256":"365230ed149a64e70b9193ea803fa3a281ad2a9ec8f6b47320e3b45e36a5c5f3"},"schema_version":"1.0","source":{"id":"1403.1248","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1248","created_at":"2026-05-18T02:57:00Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1248v1","created_at":"2026-05-18T02:57:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1248","created_at":"2026-05-18T02:57:00Z"},{"alias_kind":"pith_short_12","alias_value":"VCX2VVEFWPQT","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VCX2VVEFWPQTPB7H","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VCX2VVEF","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:b37855bbbde2dbc569dd0574304d1ed3ec5e9eca58d7362011b7dc28a5cb2950","target":"graph","created_at":"2026-05-18T02:57:00Z","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":"In this paper, the interactions and energy exchange decisions of a number of geographically distributed storage units are studied under decision-making involving end-users. In particular, a noncooperative game is formulated between customer-owned storage units where each storage unit's owner can decide on whether to charge or discharge energy with a given probability so as to maximize a utility that reflects the tradeoff between the monetary transactions from charging/discharging and the penalty from power regulation. Unlike existing game-theoretic works which assume that players make their de","authors_text":"H. Vincent Poor, Narayan B. Mandayam, Walid Saad, Yunpeng Wang","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-03-05T20:48:13Z","title":"Integrating Energy Storage into the Smart Grid: A Prospect Theoretic Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1248","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":"sha256:3928d872b37348cdfb92d4b1c0f5491fdbcff1c0e66ab870fa9033b88fceaafc","target":"record","created_at":"2026-05-18T02:57:00Z","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":"f1f6003428d027ecc3a6bb3fd3fc4ca61487482bf037890ff7653a532beb4852","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-03-05T20:48:13Z","title_canon_sha256":"365230ed149a64e70b9193ea803fa3a281ad2a9ec8f6b47320e3b45e36a5c5f3"},"schema_version":"1.0","source":{"id":"1403.1248","kind":"arxiv","version":1}},"canonical_sha256":"a8afaad485b3e13787e787dc30a6eec2c44b8f8a97393a17a0809d22daff7d6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8afaad485b3e13787e787dc30a6eec2c44b8f8a97393a17a0809d22daff7d6f","first_computed_at":"2026-05-18T02:57:00.356921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:00.356921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZcXHKfwUt9b2F9sABdtOVdFazjOt7acgAfi9yiXlreOhUoGiqFKUhA3AtzHaV1W56d144h6kM/ywCvVlUH/AAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:00.357383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1248","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3928d872b37348cdfb92d4b1c0f5491fdbcff1c0e66ab870fa9033b88fceaafc","sha256:b37855bbbde2dbc569dd0574304d1ed3ec5e9eca58d7362011b7dc28a5cb2950"],"state_sha256":"c2faf047a17ac270ba4f3f813baa61890d7d41dc9e7c5a02e6603e3a8535aaf5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XX3ArMLi7d/4ZhSmTW5kXhD3Q3Gy0TgeMpZkRZfHY5xHT/RM9FNqk61i4iNm4cOMqzRef4ujpmC6h/B6S0pPAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:47:15.966561Z","bundle_sha256":"1ab4cb1f63343e5a52ffe5d8018ade421e13768ff8d8551a07d72b6e4907aa45"}}