{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:D2QB7OPWCMB4KTMA3DTZE2RXLH","short_pith_number":"pith:D2QB7OPW","canonical_record":{"source":{"id":"2607.20338","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-22T16:24:36Z","cross_cats_sorted":[],"title_canon_sha256":"3511b3b3caa8f6715593601a95e39a31d06d1ddac4e67d53e93855b0e30f0445","abstract_canon_sha256":"d705c1a840d5a222e9597249308c1e391125ea2872b2fc465870cd8242a8b519"},"schema_version":"1.0"},"canonical_sha256":"1ea01fb9f61303c54d80d8e7926a3759e6e423692411fbd02c611aed4b9cafc3","source":{"kind":"arxiv","id":"2607.20338","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.20338","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"arxiv_version","alias_value":"2607.20338v1","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20338","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"pith_short_12","alias_value":"D2QB7OPWCMB4","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"pith_short_16","alias_value":"D2QB7OPWCMB4KTMA","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"pith_short_8","alias_value":"D2QB7OPW","created_at":"2026-07-23T01:25:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:D2QB7OPWCMB4KTMA3DTZE2RXLH","target":"record","payload":{"canonical_record":{"source":{"id":"2607.20338","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-22T16:24:36Z","cross_cats_sorted":[],"title_canon_sha256":"3511b3b3caa8f6715593601a95e39a31d06d1ddac4e67d53e93855b0e30f0445","abstract_canon_sha256":"d705c1a840d5a222e9597249308c1e391125ea2872b2fc465870cd8242a8b519"},"schema_version":"1.0"},"canonical_sha256":"1ea01fb9f61303c54d80d8e7926a3759e6e423692411fbd02c611aed4b9cafc3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T01:25:15.243825Z","signature_b64":"2d2WMugxdTCm5bWOOlVAmXvuKvg1K2l57hS1RCF92hdKdjIsojGHe+yXa4fcV64f+7vSgWcq2/B8Xj2tN1MvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ea01fb9f61303c54d80d8e7926a3759e6e423692411fbd02c611aed4b9cafc3","last_reissued_at":"2026-07-23T01:25:15.242936Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T01:25:15.242936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.20338","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":"2026-07-23T01:25:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sw6Jd/HRpr+x5qpUakRbMCPxn8n+nNfSyrVs7uDutXYT1QLT5q51GF4Hhqo1SGnyc/SAXcJeoSkOXygFlukEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:00:58.233631Z"},"content_sha256":"8d89a8a8bd1f06135a37d28ab582365c777182d0100351046f4fb679871f4e93","schema_version":"1.0","event_id":"sha256:8d89a8a8bd1f06135a37d28ab582365c777182d0100351046f4fb679871f4e93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:D2QB7OPWCMB4KTMA3DTZE2RXLH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconstructing local environments from concise atomistic representations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Ameya Daigavane, Aria Mansouri Tehrani, Jigyasa Nigam, Tess Smidt, Tuong Phung","submitted_at":"2026-07-22T16:24:36Z","abstract_excerpt":"Symmetry-based representations of local atomic structure, such as the power spectrum or bispectrum, are routinely used to characterize the structural diversity of datasets and as input features for atomistic machine learning. Although these descriptors systematically incorporate increasingly complex geometric correlations, it remains unclear if a given feature can be mapped back to a discrete point cloud, whether such a reconstruction is unique, and how changes in the descriptor are reflected in the underlying atomic geometry. The choice and discretization of the radial and angular bases, as w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20338","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.20338/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":"2026-07-23T01:25:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"71Z8mIrBYvSKJcQdv6FztaZfBkeoOSxUYvvDXK3Mk7gNsPWBLbETxYANWoi2YEgUfg2BUN7Cw0u6msZbbPshDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:00:58.234132Z"},"content_sha256":"a032c9568d71bd4c11e62949282f9c58cd1131002611bf346f4f70ddb4d3aa20","schema_version":"1.0","event_id":"sha256:a032c9568d71bd4c11e62949282f9c58cd1131002611bf346f4f70ddb4d3aa20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2QB7OPWCMB4KTMA3DTZE2RXLH/bundle.json","state_url":"https://pith.science/pith/D2QB7OPWCMB4KTMA3DTZE2RXLH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2QB7OPWCMB4KTMA3DTZE2RXLH/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":"2026-08-03T21:00:58Z","links":{"resolver":"https://pith.science/pith/D2QB7OPWCMB4KTMA3DTZE2RXLH","bundle":"https://pith.science/pith/D2QB7OPWCMB4KTMA3DTZE2RXLH/bundle.json","state":"https://pith.science/pith/D2QB7OPWCMB4KTMA3DTZE2RXLH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2QB7OPWCMB4KTMA3DTZE2RXLH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:D2QB7OPWCMB4KTMA3DTZE2RXLH","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":"d705c1a840d5a222e9597249308c1e391125ea2872b2fc465870cd8242a8b519","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-22T16:24:36Z","title_canon_sha256":"3511b3b3caa8f6715593601a95e39a31d06d1ddac4e67d53e93855b0e30f0445"},"schema_version":"1.0","source":{"id":"2607.20338","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.20338","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"arxiv_version","alias_value":"2607.20338v1","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20338","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"pith_short_12","alias_value":"D2QB7OPWCMB4","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"pith_short_16","alias_value":"D2QB7OPWCMB4KTMA","created_at":"2026-07-23T01:25:15Z"},{"alias_kind":"pith_short_8","alias_value":"D2QB7OPW","created_at":"2026-07-23T01:25:15Z"}],"graph_snapshots":[{"event_id":"sha256:a032c9568d71bd4c11e62949282f9c58cd1131002611bf346f4f70ddb4d3aa20","target":"graph","created_at":"2026-07-23T01:25:15Z","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/2607.20338/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Symmetry-based representations of local atomic structure, such as the power spectrum or bispectrum, are routinely used to characterize the structural diversity of datasets and as input features for atomistic machine learning. Although these descriptors systematically incorporate increasingly complex geometric correlations, it remains unclear if a given feature can be mapped back to a discrete point cloud, whether such a reconstruction is unique, and how changes in the descriptor are reflected in the underlying atomic geometry. The choice and discretization of the radial and angular bases, as w","authors_text":"Ameya Daigavane, Aria Mansouri Tehrani, Jigyasa Nigam, Tess Smidt, Tuong Phung","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-22T16:24:36Z","title":"Reconstructing local environments from concise atomistic representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20338","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":"sha256:8d89a8a8bd1f06135a37d28ab582365c777182d0100351046f4fb679871f4e93","target":"record","created_at":"2026-07-23T01:25:15Z","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":"d705c1a840d5a222e9597249308c1e391125ea2872b2fc465870cd8242a8b519","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-22T16:24:36Z","title_canon_sha256":"3511b3b3caa8f6715593601a95e39a31d06d1ddac4e67d53e93855b0e30f0445"},"schema_version":"1.0","source":{"id":"2607.20338","kind":"arxiv","version":1}},"canonical_sha256":"1ea01fb9f61303c54d80d8e7926a3759e6e423692411fbd02c611aed4b9cafc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ea01fb9f61303c54d80d8e7926a3759e6e423692411fbd02c611aed4b9cafc3","first_computed_at":"2026-07-23T01:25:15.242936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T01:25:15.242936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2d2WMugxdTCm5bWOOlVAmXvuKvg1K2l57hS1RCF92hdKdjIsojGHe+yXa4fcV64f+7vSgWcq2/B8Xj2tN1MvDA==","signature_status":"signed_v1","signed_at":"2026-07-23T01:25:15.243825Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.20338","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d89a8a8bd1f06135a37d28ab582365c777182d0100351046f4fb679871f4e93","sha256:a032c9568d71bd4c11e62949282f9c58cd1131002611bf346f4f70ddb4d3aa20"],"state_sha256":"3e8278b873de7d8f991b7b3d04bdbe4bc8354ffd18955f6f3060a72ed859a942"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DTYnIsoEZ/ygcnmHzGfemTKzFxDsK4f3HaMubUj9PABwRy4WFmTGSTuC76g8DboBegXThQXN5r7rBA9sL+yRBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:00:58.237443Z","bundle_sha256":"ba4c1b4cc6f9a2213f9461780440692e4b7731d656c21cc4ae172f5a44169144"}}