{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:4GPWXZLVWZ72F2MAR5JQHTF3BA","short_pith_number":"pith:4GPWXZLV","canonical_record":{"source":{"id":"2410.05379","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-07T18:00:01Z","cross_cats_sorted":["hep-ex","hep-th"],"title_canon_sha256":"0687fc41b58b6c974f387d0e4dc3aa6fcbe4472a1abb347c0960403fe6896a28","abstract_canon_sha256":"7dc0f1781579f811dab65c2279e4232a5ecd6371d7ec494e47862a632a56624c"},"schema_version":"1.0"},"canonical_sha256":"e19f6be575b67fa2e9808f5303ccbb0839c85b44404f7a77d5e7683ec6813f99","source":{"kind":"arxiv","id":"2410.05379","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.05379","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"arxiv_version","alias_value":"2410.05379v3","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.05379","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"pith_short_12","alias_value":"4GPWXZLVWZ72","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"pith_short_16","alias_value":"4GPWXZLVWZ72F2MA","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"pith_short_8","alias_value":"4GPWXZLV","created_at":"2026-07-05T09:59:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:4GPWXZLVWZ72F2MAR5JQHTF3BA","target":"record","payload":{"canonical_record":{"source":{"id":"2410.05379","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-07T18:00:01Z","cross_cats_sorted":["hep-ex","hep-th"],"title_canon_sha256":"0687fc41b58b6c974f387d0e4dc3aa6fcbe4472a1abb347c0960403fe6896a28","abstract_canon_sha256":"7dc0f1781579f811dab65c2279e4232a5ecd6371d7ec494e47862a632a56624c"},"schema_version":"1.0"},"canonical_sha256":"e19f6be575b67fa2e9808f5303ccbb0839c85b44404f7a77d5e7683ec6813f99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:53.605192Z","signature_b64":"5FxAz2WrRzfZS1lXLDxvUSOnJtY/d/33zbGcxfqqVcShFE3sIK+Adz7nSpygfFJ91QwMBmpWU0Kbj2hrFSdvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e19f6be575b67fa2e9808f5303ccbb0839c85b44404f7a77d5e7683ec6813f99","last_reissued_at":"2026-07-05T09:59:53.604710Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:53.604710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.05379","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:59:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v0sluQ34SM4PDXtgEPUKOuSoX3NNGWDuKjBFymzPBN5MF1BBy+gZqE/oxMj73EO9chmSF1UiQt57nV598UKLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T11:33:07.169076Z"},"content_sha256":"e41ce37afbeca05cc618352b899425659d58a90f26c426f5a939e35c305f5980","schema_version":"1.0","event_id":"sha256:e41ce37afbeca05cc618352b899425659d58a90f26c426f5a939e35c305f5980"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:4GPWXZLVWZ72F2MAR5JQHTF3BA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SPECTER: Efficient Evaluation of the Spectral EMD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"Andrew J. Larkoski, Jesse Thaler, Rikab Gambhir","submitted_at":"2024-10-07T18:00:01Z","abstract_excerpt":"The Energy Mover's Distance (EMD) has seen use in collider physics as a metric between events and as a geometric method of defining infrared and collinear safe observables. Recently, the Spectral Energy Mover's Distance (SEMD) has been proposed as a more analytically tractable alternative to the EMD. In this work, we obtain a closed-form expression for the Riemannian-like p = 2 SEMD metric between events, eliminating the need to numerically solve an optimal transport problem. Additionally, we show how the SEMD can be used to define event and jet shape observables by minimizing the distance bet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.05379","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.05379/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:59:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGVwf2mhJRBEbe4mH2tpGAxh1aiDaLkwKr3bU9O4glWBZbCgEFNxJzA6n4Lc/sZ9xYvfO4ho9cb0c1SkBQQWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T11:33:07.169469Z"},"content_sha256":"7a33fb3742111eb7a461e63eb562b6d02b50916f1e5c7d75e15efd4e32a00591","schema_version":"1.0","event_id":"sha256:7a33fb3742111eb7a461e63eb562b6d02b50916f1e5c7d75e15efd4e32a00591"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4GPWXZLVWZ72F2MAR5JQHTF3BA/bundle.json","state_url":"https://pith.science/pith/4GPWXZLVWZ72F2MAR5JQHTF3BA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4GPWXZLVWZ72F2MAR5JQHTF3BA/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":"2026-07-11T11:33:07Z","links":{"resolver":"https://pith.science/pith/4GPWXZLVWZ72F2MAR5JQHTF3BA","bundle":"https://pith.science/pith/4GPWXZLVWZ72F2MAR5JQHTF3BA/bundle.json","state":"https://pith.science/pith/4GPWXZLVWZ72F2MAR5JQHTF3BA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4GPWXZLVWZ72F2MAR5JQHTF3BA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4GPWXZLVWZ72F2MAR5JQHTF3BA","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":"7dc0f1781579f811dab65c2279e4232a5ecd6371d7ec494e47862a632a56624c","cross_cats_sorted":["hep-ex","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-07T18:00:01Z","title_canon_sha256":"0687fc41b58b6c974f387d0e4dc3aa6fcbe4472a1abb347c0960403fe6896a28"},"schema_version":"1.0","source":{"id":"2410.05379","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.05379","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"arxiv_version","alias_value":"2410.05379v3","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.05379","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"pith_short_12","alias_value":"4GPWXZLVWZ72","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"pith_short_16","alias_value":"4GPWXZLVWZ72F2MA","created_at":"2026-07-05T09:59:53Z"},{"alias_kind":"pith_short_8","alias_value":"4GPWXZLV","created_at":"2026-07-05T09:59:53Z"}],"graph_snapshots":[{"event_id":"sha256:7a33fb3742111eb7a461e63eb562b6d02b50916f1e5c7d75e15efd4e32a00591","target":"graph","created_at":"2026-07-05T09:59:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.05379/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Energy Mover's Distance (EMD) has seen use in collider physics as a metric between events and as a geometric method of defining infrared and collinear safe observables. Recently, the Spectral Energy Mover's Distance (SEMD) has been proposed as a more analytically tractable alternative to the EMD. In this work, we obtain a closed-form expression for the Riemannian-like p = 2 SEMD metric between events, eliminating the need to numerically solve an optimal transport problem. Additionally, we show how the SEMD can be used to define event and jet shape observables by minimizing the distance bet","authors_text":"Andrew J. Larkoski, Jesse Thaler, Rikab Gambhir","cross_cats":["hep-ex","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-07T18:00:01Z","title":"SPECTER: Efficient Evaluation of the Spectral EMD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.05379","kind":"arxiv","version":3},"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:e41ce37afbeca05cc618352b899425659d58a90f26c426f5a939e35c305f5980","target":"record","created_at":"2026-07-05T09:59:53Z","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":"7dc0f1781579f811dab65c2279e4232a5ecd6371d7ec494e47862a632a56624c","cross_cats_sorted":["hep-ex","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-07T18:00:01Z","title_canon_sha256":"0687fc41b58b6c974f387d0e4dc3aa6fcbe4472a1abb347c0960403fe6896a28"},"schema_version":"1.0","source":{"id":"2410.05379","kind":"arxiv","version":3}},"canonical_sha256":"e19f6be575b67fa2e9808f5303ccbb0839c85b44404f7a77d5e7683ec6813f99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e19f6be575b67fa2e9808f5303ccbb0839c85b44404f7a77d5e7683ec6813f99","first_computed_at":"2026-07-05T09:59:53.604710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:53.604710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5FxAz2WrRzfZS1lXLDxvUSOnJtY/d/33zbGcxfqqVcShFE3sIK+Adz7nSpygfFJ91QwMBmpWU0Kbj2hrFSdvCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:53.605192Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.05379","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e41ce37afbeca05cc618352b899425659d58a90f26c426f5a939e35c305f5980","sha256:7a33fb3742111eb7a461e63eb562b6d02b50916f1e5c7d75e15efd4e32a00591"],"state_sha256":"635b352754dd7178eb534543deb521dcd0fca577f9ab76294de89444f5b64ac9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"knuJzIoD4dijbs/g1Jeb9I4Kn7MS1hKgmjU38kmkqHmJm4OH9p109nV6MSd/scML9TBjIOojIFsiwWR/9mtQCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T11:33:07.171661Z","bundle_sha256":"49c6f94918047af0f29beba8bb3e42da04724bd482c9485456b54af9da1b0ff3"}}