{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:J7GBNO24ZJKRIAD4XJRXD6V7TD","short_pith_number":"pith:J7GBNO24","canonical_record":{"source":{"id":"1702.06403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-21T14:35:40Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"13e97ea30b4a8ead340e17c0db9771ca24525e378122589f3c6101128e533452","abstract_canon_sha256":"a5797465d9d1dda667de270d71e9c7553af13f3af5e10429ae766771104abe88"},"schema_version":"1.0"},"canonical_sha256":"4fcc16bb5cca5514007cba6371fabf98c30b4ece51dac547c37742853278c3e8","source":{"kind":"arxiv","id":"1702.06403","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06403","created_at":"2026-05-18T00:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06403v2","created_at":"2026-05-18T00:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06403","created_at":"2026-05-18T00:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"J7GBNO24ZJKR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J7GBNO24ZJKRIAD4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J7GBNO24","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:J7GBNO24ZJKRIAD4XJRXD6V7TD","target":"record","payload":{"canonical_record":{"source":{"id":"1702.06403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-21T14:35:40Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"13e97ea30b4a8ead340e17c0db9771ca24525e378122589f3c6101128e533452","abstract_canon_sha256":"a5797465d9d1dda667de270d71e9c7553af13f3af5e10429ae766771104abe88"},"schema_version":"1.0"},"canonical_sha256":"4fcc16bb5cca5514007cba6371fabf98c30b4ece51dac547c37742853278c3e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:03.683978Z","signature_b64":"TLLagKl07OncEOM/Lv81xKOFV/CKcqyk77ns702rIYm28rchxpezFzPhgB0Nmq9oArLTrc07TbBPRoOMPVIeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fcc16bb5cca5514007cba6371fabf98c30b4ece51dac547c37742853278c3e8","last_reissued_at":"2026-05-18T00:50:03.683391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:03.683391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.06403","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EgaAuxtfHbC+EvVa6xEZLkMpLTnLn5L6dIP03HSlVmb31dYRAnzwM5tw547U1idUatdcGjscp/8rdTO8pY5oBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T18:05:13.745188Z"},"content_sha256":"7be95348545eb26c900af4c3cefb8407ab0297840d9be9de8ddec450d582ea6f","schema_version":"1.0","event_id":"sha256:7be95348545eb26c900af4c3cefb8407ab0297840d9be9de8ddec450d582ea6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:J7GBNO24ZJKRIAD4XJRXD6V7TD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stahl's Theorem (aka BMV Conjecture): Insights and Intuition on its Proof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Fabien Clivaz","submitted_at":"2017-02-21T14:35:40Z","abstract_excerpt":"The Bessis-Moussa-Villani conjecture states that the trace of $\\exp(A-tB)$ is, as a function of the real variable $t$, the Laplace transform of a positive measure, where $A$ and $B$ are respectively a hermitian and positive semi-definite matrix. The long standing conjecture was recently proved by Stahl and streamlined by Eremenko. We report on a more concise yet self-contained version of the proof."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06403","kind":"arxiv","version":2},"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":"2026-05-18T00:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lMN3tMHWNM/y9zcrBgg7Ut8xJWoHy1F/cRtQ6gFvqAK/Q24YD2lCRxhAIZDeBa5YRJk4lRfntZT0hBzAyVuNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T18:05:13.745553Z"},"content_sha256":"69faff69e6bda98dc423e276ee40985f00bc49ef8e3638679aeed301095b4959","schema_version":"1.0","event_id":"sha256:69faff69e6bda98dc423e276ee40985f00bc49ef8e3638679aeed301095b4959"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7GBNO24ZJKRIAD4XJRXD6V7TD/bundle.json","state_url":"https://pith.science/pith/J7GBNO24ZJKRIAD4XJRXD6V7TD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7GBNO24ZJKRIAD4XJRXD6V7TD/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":"2026-06-30T18:05:13Z","links":{"resolver":"https://pith.science/pith/J7GBNO24ZJKRIAD4XJRXD6V7TD","bundle":"https://pith.science/pith/J7GBNO24ZJKRIAD4XJRXD6V7TD/bundle.json","state":"https://pith.science/pith/J7GBNO24ZJKRIAD4XJRXD6V7TD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7GBNO24ZJKRIAD4XJRXD6V7TD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:J7GBNO24ZJKRIAD4XJRXD6V7TD","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":"a5797465d9d1dda667de270d71e9c7553af13f3af5e10429ae766771104abe88","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-21T14:35:40Z","title_canon_sha256":"13e97ea30b4a8ead340e17c0db9771ca24525e378122589f3c6101128e533452"},"schema_version":"1.0","source":{"id":"1702.06403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06403","created_at":"2026-05-18T00:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06403v2","created_at":"2026-05-18T00:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06403","created_at":"2026-05-18T00:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"J7GBNO24ZJKR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J7GBNO24ZJKRIAD4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J7GBNO24","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:69faff69e6bda98dc423e276ee40985f00bc49ef8e3638679aeed301095b4959","target":"graph","created_at":"2026-05-18T00:50:03Z","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 Bessis-Moussa-Villani conjecture states that the trace of $\\exp(A-tB)$ is, as a function of the real variable $t$, the Laplace transform of a positive measure, where $A$ and $B$ are respectively a hermitian and positive semi-definite matrix. The long standing conjecture was recently proved by Stahl and streamlined by Eremenko. We report on a more concise yet self-contained version of the proof.","authors_text":"Fabien Clivaz","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-21T14:35:40Z","title":"Stahl's Theorem (aka BMV Conjecture): Insights and Intuition on its Proof"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06403","kind":"arxiv","version":2},"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":"sha256:7be95348545eb26c900af4c3cefb8407ab0297840d9be9de8ddec450d582ea6f","target":"record","created_at":"2026-05-18T00:50:03Z","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":"a5797465d9d1dda667de270d71e9c7553af13f3af5e10429ae766771104abe88","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-21T14:35:40Z","title_canon_sha256":"13e97ea30b4a8ead340e17c0db9771ca24525e378122589f3c6101128e533452"},"schema_version":"1.0","source":{"id":"1702.06403","kind":"arxiv","version":2}},"canonical_sha256":"4fcc16bb5cca5514007cba6371fabf98c30b4ece51dac547c37742853278c3e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fcc16bb5cca5514007cba6371fabf98c30b4ece51dac547c37742853278c3e8","first_computed_at":"2026-05-18T00:50:03.683391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:03.683391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TLLagKl07OncEOM/Lv81xKOFV/CKcqyk77ns702rIYm28rchxpezFzPhgB0Nmq9oArLTrc07TbBPRoOMPVIeDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:03.683978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7be95348545eb26c900af4c3cefb8407ab0297840d9be9de8ddec450d582ea6f","sha256:69faff69e6bda98dc423e276ee40985f00bc49ef8e3638679aeed301095b4959"],"state_sha256":"8ea1e8c308b75ff523c3f1813801858d32ca3fb561f6bbe0ed0f2b53b4f7e32c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NNYbfvbBBkXQpEXiivX+bzVGS9yXsFMr2oGZlJO8rBimOd8Omf+H4VAMgwOVVX1Z4ydwe3czWzMOA0ZZ6WGLBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T18:05:13.747479Z","bundle_sha256":"8c2b27c9068592eb0c18796d4fa303d7363e91499c8b5dd2cf5dc3014d053137"}}