{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:M7YHDY57OIZN4S7MAQZGGUZSFH","short_pith_number":"pith:M7YHDY57","canonical_record":{"source":{"id":"1503.00528","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-02T14:01:10Z","cross_cats_sorted":[],"title_canon_sha256":"ead4f3d994cf033186a4bc2b026c697116feb79c37b747d3c2a4d14c5f7cfa3a","abstract_canon_sha256":"83f2580116a94357b16114df4404ec7532069a33e832d5ee31e1418e4b362627"},"schema_version":"1.0"},"canonical_sha256":"67f071e3bf7232de4bec043263533229d03ef13785a7b8b5b3da0eb6a0be6893","source":{"kind":"arxiv","id":"1503.00528","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00528","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00528v4","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00528","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"pith_short_12","alias_value":"M7YHDY57OIZN","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M7YHDY57OIZN4S7M","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M7YHDY57","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:M7YHDY57OIZN4S7MAQZGGUZSFH","target":"record","payload":{"canonical_record":{"source":{"id":"1503.00528","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-02T14:01:10Z","cross_cats_sorted":[],"title_canon_sha256":"ead4f3d994cf033186a4bc2b026c697116feb79c37b747d3c2a4d14c5f7cfa3a","abstract_canon_sha256":"83f2580116a94357b16114df4404ec7532069a33e832d5ee31e1418e4b362627"},"schema_version":"1.0"},"canonical_sha256":"67f071e3bf7232de4bec043263533229d03ef13785a7b8b5b3da0eb6a0be6893","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:10.493847Z","signature_b64":"ZggQIb7bSd+pg++bhHNl9OgHUTzGKJNDMNQRwrMeFGjVrUFhiUDN910yTj6RJuqIDKPMYnjwjmf1RXPIia5gCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67f071e3bf7232de4bec043263533229d03ef13785a7b8b5b3da0eb6a0be6893","last_reissued_at":"2026-05-18T01:32:10.493171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:10.493171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.00528","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4cQaLFRSz/bXwvLXiuhgZq7Qv+D6AWJdx8z5FkAMM37JNVoVyOwC8yBl8z/43RgpIvEuHDV+/JdV712Wae42Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:14:47.843128Z"},"content_sha256":"7c4d0773a1e1c3c263ce7a7d75e7405a9b9ca18064ac0ad660c6cd1ec95997ac","schema_version":"1.0","event_id":"sha256:7c4d0773a1e1c3c263ce7a7d75e7405a9b9ca18064ac0ad660c6cd1ec95997ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:M7YHDY57OIZN4S7MAQZGGUZSFH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Using non-positive maps to characterize entanglement witnesses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adam Rutkowski, Marek Mozrzymas, Micha{\\l} Studzi\\'nski","submitted_at":"2015-03-02T14:01:10Z","abstract_excerpt":"In this paper we present a new method for entanglement witnesses construction. We show that to construct such an object we can deal with maps which are not positive on the whole domain, but only on a certain sub-domain. In our approach crucial role play such maps which are surjective between sets $\\mathcal{P}_{k}^d$ of $k \\leq d$ rank projectors and the set $\\mathcal{P}_1^d$ of rank one projectors acting in the $d$ dimensional space. We argue that our method can be used to check whether a given observable is an entanglement witness. In the second part of this paper we show that inverse reducti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00528","kind":"arxiv","version":4},"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":"2026-05-18T01:32:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OP9HSlgiXiW/pdkoLqv9ANf4nEJxbptWNS1aEqS7NaseyFwdh3zkz8f/PB5Lh668q28CCaO7EGJlSnKCOmX2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:14:47.843845Z"},"content_sha256":"3c6c9fe4c7558322b7e860f38d95f59fc4c432db58195d0d023a9e85a3d9881e","schema_version":"1.0","event_id":"sha256:3c6c9fe4c7558322b7e860f38d95f59fc4c432db58195d0d023a9e85a3d9881e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M7YHDY57OIZN4S7MAQZGGUZSFH/bundle.json","state_url":"https://pith.science/pith/M7YHDY57OIZN4S7MAQZGGUZSFH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M7YHDY57OIZN4S7MAQZGGUZSFH/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":"2026-06-08T16:14:47Z","links":{"resolver":"https://pith.science/pith/M7YHDY57OIZN4S7MAQZGGUZSFH","bundle":"https://pith.science/pith/M7YHDY57OIZN4S7MAQZGGUZSFH/bundle.json","state":"https://pith.science/pith/M7YHDY57OIZN4S7MAQZGGUZSFH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M7YHDY57OIZN4S7MAQZGGUZSFH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:M7YHDY57OIZN4S7MAQZGGUZSFH","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":"83f2580116a94357b16114df4404ec7532069a33e832d5ee31e1418e4b362627","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-02T14:01:10Z","title_canon_sha256":"ead4f3d994cf033186a4bc2b026c697116feb79c37b747d3c2a4d14c5f7cfa3a"},"schema_version":"1.0","source":{"id":"1503.00528","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00528","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00528v4","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00528","created_at":"2026-05-18T01:32:10Z"},{"alias_kind":"pith_short_12","alias_value":"M7YHDY57OIZN","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M7YHDY57OIZN4S7M","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M7YHDY57","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:3c6c9fe4c7558322b7e860f38d95f59fc4c432db58195d0d023a9e85a3d9881e","target":"graph","created_at":"2026-05-18T01:32:10Z","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 we present a new method for entanglement witnesses construction. We show that to construct such an object we can deal with maps which are not positive on the whole domain, but only on a certain sub-domain. In our approach crucial role play such maps which are surjective between sets $\\mathcal{P}_{k}^d$ of $k \\leq d$ rank projectors and the set $\\mathcal{P}_1^d$ of rank one projectors acting in the $d$ dimensional space. We argue that our method can be used to check whether a given observable is an entanglement witness. In the second part of this paper we show that inverse reducti","authors_text":"Adam Rutkowski, Marek Mozrzymas, Micha{\\l} Studzi\\'nski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-02T14:01:10Z","title":"Using non-positive maps to characterize entanglement witnesses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00528","kind":"arxiv","version":4},"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":"sha256:7c4d0773a1e1c3c263ce7a7d75e7405a9b9ca18064ac0ad660c6cd1ec95997ac","target":"record","created_at":"2026-05-18T01:32:10Z","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":"83f2580116a94357b16114df4404ec7532069a33e832d5ee31e1418e4b362627","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-02T14:01:10Z","title_canon_sha256":"ead4f3d994cf033186a4bc2b026c697116feb79c37b747d3c2a4d14c5f7cfa3a"},"schema_version":"1.0","source":{"id":"1503.00528","kind":"arxiv","version":4}},"canonical_sha256":"67f071e3bf7232de4bec043263533229d03ef13785a7b8b5b3da0eb6a0be6893","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67f071e3bf7232de4bec043263533229d03ef13785a7b8b5b3da0eb6a0be6893","first_computed_at":"2026-05-18T01:32:10.493171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:10.493171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZggQIb7bSd+pg++bhHNl9OgHUTzGKJNDMNQRwrMeFGjVrUFhiUDN910yTj6RJuqIDKPMYnjwjmf1RXPIia5gCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:10.493847Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00528","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c4d0773a1e1c3c263ce7a7d75e7405a9b9ca18064ac0ad660c6cd1ec95997ac","sha256:3c6c9fe4c7558322b7e860f38d95f59fc4c432db58195d0d023a9e85a3d9881e"],"state_sha256":"6654be5ee1ed39f0fecd8235ae9524986a046059fd0753e7ccf669b9a5a6590a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"guYgpVovj6ZkIumendOdKuwreZl/iPLcavML+sxMyUbMvfimQnVDqOtqmgt7ryraMX+B8LMrffXpYA/tM0jDCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:14:47.847669Z","bundle_sha256":"199547f46ef685f223dc8ac4b742aa8019620975b8d15d0ad1651c3ab4005069"}}