{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:J7B2RGZ7V4CT2CQ5X7PFKV7QNP","short_pith_number":"pith:J7B2RGZ7","canonical_record":{"source":{"id":"1104.5497","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-28T20:00:08Z","cross_cats_sorted":["hep-th","math.DS"],"title_canon_sha256":"3c6794dd5063fb06a4715bf2e50e0600689a5dbc116f130accb50a7f7d9dd547","abstract_canon_sha256":"7dce6055c1f119ab59dc6361dcffa7f42cf5b9211721eda5b9d2cbbe425a7b78"},"schema_version":"1.0"},"canonical_sha256":"4fc3a89b3faf053d0a1dbfde5557f06bd48e534f126b69bf75e3d718fa04b932","source":{"kind":"arxiv","id":"1104.5497","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5497","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5497v1","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5497","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"J7B2RGZ7V4CT","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J7B2RGZ7V4CT2CQ5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J7B2RGZ7","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:J7B2RGZ7V4CT2CQ5X7PFKV7QNP","target":"record","payload":{"canonical_record":{"source":{"id":"1104.5497","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-28T20:00:08Z","cross_cats_sorted":["hep-th","math.DS"],"title_canon_sha256":"3c6794dd5063fb06a4715bf2e50e0600689a5dbc116f130accb50a7f7d9dd547","abstract_canon_sha256":"7dce6055c1f119ab59dc6361dcffa7f42cf5b9211721eda5b9d2cbbe425a7b78"},"schema_version":"1.0"},"canonical_sha256":"4fc3a89b3faf053d0a1dbfde5557f06bd48e534f126b69bf75e3d718fa04b932","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:17.652383Z","signature_b64":"BbvHXrk8ELBnd8oRFkHBGh8QY/YJpb7X9Ju45uujM354sQgh+XqiS/yW2VTKuh51dPg2lR0SOXHD3WngWP78BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fc3a89b3faf053d0a1dbfde5557f06bd48e534f126b69bf75e3d718fa04b932","last_reissued_at":"2026-05-18T04:06:17.651708Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:17.651708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.5497","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":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fTgcW9vOf1p976FPS6Y5ytatcGnmeOngB5Gt9uzm0j1bKzrUP7x014HsETCz9EnA0HcxpCccvdwgP9MmJ1utAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:23:50.192766Z"},"content_sha256":"adf41166884fb6c700e46d80df79800bb6f715b1d565872cefcb5d0c07026c5d","schema_version":"1.0","event_id":"sha256:adf41166884fb6c700e46d80df79800bb6f715b1d565872cefcb5d0c07026c5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:J7B2RGZ7V4CT2CQ5X7PFKV7QNP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finding All the Stationary Points of a Potential Energy Landscape via Numerical Polynomial Homotopy Continuation Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DS"],"primary_cat":"cond-mat.stat-mech","authors_text":"Dhagash Mehta","submitted_at":"2011-04-28T20:00:08Z","abstract_excerpt":"The stationary points (SPs) of a potential energy landscape play a crucial role in understanding many of the physical or chemical properties of a given system. Unless they are found analytically, there is, however, no efficient method to obtain 'all' the SPs of a given potential. We introduce a novel method, called the numerical polynomial homotopy continuation (NPHC) method, which numerically finds all the SPs, and is 'embarrassingly parallelizable'. The method requires the non-linearity of the potential to be polynomial-like, which is the case for almost all of the potentials arising in phys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5497","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":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z24xUGaKdX5SyTlcXXyg+P2N/p1s+jJ2YclwqlMpL1BCbBdB5V6l0nEZDm1ec1n0OMRM1nvPg2VSVptDszgLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:23:50.193123Z"},"content_sha256":"9a01a475a9e746d1a4ec6685a64fbe548bd5041a2e7a0b6f2be3e93e58965d87","schema_version":"1.0","event_id":"sha256:9a01a475a9e746d1a4ec6685a64fbe548bd5041a2e7a0b6f2be3e93e58965d87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7B2RGZ7V4CT2CQ5X7PFKV7QNP/bundle.json","state_url":"https://pith.science/pith/J7B2RGZ7V4CT2CQ5X7PFKV7QNP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7B2RGZ7V4CT2CQ5X7PFKV7QNP/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":"2026-05-27T00:23:50Z","links":{"resolver":"https://pith.science/pith/J7B2RGZ7V4CT2CQ5X7PFKV7QNP","bundle":"https://pith.science/pith/J7B2RGZ7V4CT2CQ5X7PFKV7QNP/bundle.json","state":"https://pith.science/pith/J7B2RGZ7V4CT2CQ5X7PFKV7QNP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7B2RGZ7V4CT2CQ5X7PFKV7QNP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:J7B2RGZ7V4CT2CQ5X7PFKV7QNP","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":"7dce6055c1f119ab59dc6361dcffa7f42cf5b9211721eda5b9d2cbbe425a7b78","cross_cats_sorted":["hep-th","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-28T20:00:08Z","title_canon_sha256":"3c6794dd5063fb06a4715bf2e50e0600689a5dbc116f130accb50a7f7d9dd547"},"schema_version":"1.0","source":{"id":"1104.5497","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5497","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5497v1","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5497","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"J7B2RGZ7V4CT","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J7B2RGZ7V4CT2CQ5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J7B2RGZ7","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:9a01a475a9e746d1a4ec6685a64fbe548bd5041a2e7a0b6f2be3e93e58965d87","target":"graph","created_at":"2026-05-18T04:06:17Z","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":"The stationary points (SPs) of a potential energy landscape play a crucial role in understanding many of the physical or chemical properties of a given system. Unless they are found analytically, there is, however, no efficient method to obtain 'all' the SPs of a given potential. We introduce a novel method, called the numerical polynomial homotopy continuation (NPHC) method, which numerically finds all the SPs, and is 'embarrassingly parallelizable'. The method requires the non-linearity of the potential to be polynomial-like, which is the case for almost all of the potentials arising in phys","authors_text":"Dhagash Mehta","cross_cats":["hep-th","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-28T20:00:08Z","title":"Finding All the Stationary Points of a Potential Energy Landscape via Numerical Polynomial Homotopy Continuation Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5497","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:adf41166884fb6c700e46d80df79800bb6f715b1d565872cefcb5d0c07026c5d","target":"record","created_at":"2026-05-18T04:06:17Z","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":"7dce6055c1f119ab59dc6361dcffa7f42cf5b9211721eda5b9d2cbbe425a7b78","cross_cats_sorted":["hep-th","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-28T20:00:08Z","title_canon_sha256":"3c6794dd5063fb06a4715bf2e50e0600689a5dbc116f130accb50a7f7d9dd547"},"schema_version":"1.0","source":{"id":"1104.5497","kind":"arxiv","version":1}},"canonical_sha256":"4fc3a89b3faf053d0a1dbfde5557f06bd48e534f126b69bf75e3d718fa04b932","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fc3a89b3faf053d0a1dbfde5557f06bd48e534f126b69bf75e3d718fa04b932","first_computed_at":"2026-05-18T04:06:17.651708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:17.651708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BbvHXrk8ELBnd8oRFkHBGh8QY/YJpb7X9Ju45uujM354sQgh+XqiS/yW2VTKuh51dPg2lR0SOXHD3WngWP78BA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:17.652383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5497","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adf41166884fb6c700e46d80df79800bb6f715b1d565872cefcb5d0c07026c5d","sha256:9a01a475a9e746d1a4ec6685a64fbe548bd5041a2e7a0b6f2be3e93e58965d87"],"state_sha256":"e45b3c07db5ff1f178e41aa3f93932a8965fc633ba7a0eedae8a47e952a985dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hd4alSZnZgNTv/6Hbl6HVrMHHtvQgQnY8fv2a+mIkZFqT2gzDbfJSSobDFheQBiwEyBvlXllMkOeblheKyt4BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:23:50.195530Z","bundle_sha256":"f190430cafc9e6eb048848d48a03c44e0830cb0c510b294de61d234ad78ccea0"}}