{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:3LTYW3ELCGVG7WA7XWR4MIJ5AA","short_pith_number":"pith:3LTYW3EL","canonical_record":{"source":{"id":"2504.14890","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-21T06:38:04Z","cross_cats_sorted":[],"title_canon_sha256":"f72b7ea67fb5bdc66668e31225f7462565f7a2e6557dad112d76e976e573b6cf","abstract_canon_sha256":"fe63d4754fd364c5cc0713750bd902af1e2c51ca35321b63235ab729d5e3c5a5"},"schema_version":"1.0"},"canonical_sha256":"dae78b6c8b11aa6fd81fbda3c6213d0025f08e84138c535bdca71ad84ba9c2bc","source":{"kind":"arxiv","id":"2504.14890","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14890","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14890v2","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14890","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"3LTYW3ELCGVG","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"pith_short_16","alias_value":"3LTYW3ELCGVG7WA7","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"pith_short_8","alias_value":"3LTYW3EL","created_at":"2026-07-05T10:52:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:3LTYW3ELCGVG7WA7XWR4MIJ5AA","target":"record","payload":{"canonical_record":{"source":{"id":"2504.14890","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-21T06:38:04Z","cross_cats_sorted":[],"title_canon_sha256":"f72b7ea67fb5bdc66668e31225f7462565f7a2e6557dad112d76e976e573b6cf","abstract_canon_sha256":"fe63d4754fd364c5cc0713750bd902af1e2c51ca35321b63235ab729d5e3c5a5"},"schema_version":"1.0"},"canonical_sha256":"dae78b6c8b11aa6fd81fbda3c6213d0025f08e84138c535bdca71ad84ba9c2bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:52:23.351007Z","signature_b64":"iqW4s1MHEiH6JEv6HoK8aQ0bL0HmtC0JZLNkkA3moQ/ymgXQlfWOjwbNFpU8IGZaEiyRrR0GcBsPxRtqK4BmAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dae78b6c8b11aa6fd81fbda3c6213d0025f08e84138c535bdca71ad84ba9c2bc","last_reissued_at":"2026-07-05T10:52:23.350506Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:52:23.350506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.14890","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":"2026-07-05T10:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qgM9ZNzBzpB9A72D8JzIr1q4aY0xpdhDtuHtKXPtzlPIskby6abp5NaVahiczmd8xwXqYCPYtHB08MZhe4QaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:13:19.371498Z"},"content_sha256":"27d0dad3dfb5437cfc55177dce1d6d0b6c30dd71e19912045187b1fbff8ea546","schema_version":"1.0","event_id":"sha256:27d0dad3dfb5437cfc55177dce1d6d0b6c30dd71e19912045187b1fbff8ea546"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:3LTYW3ELCGVG7WA7XWR4MIJ5AA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of Kinematic Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Austin Joyce, Daniel Baumann, Guilherme L. Pimentel, Harry Goodhew, Hayden Lee, Tom Westerdijk","submitted_at":"2025-04-21T06:38:04Z","abstract_excerpt":"We uncover a geometric organization of the differential equations for the wavefunction coefficients of conformally coupled scalars in power-law cosmologies. To do this, we introduce a basis of functions inspired by a decomposition of the wavefunction into time-ordered components. Representing these basis functions and their singularities by graph tubings, we show that a remarkably simple rule for the merger of tubes produces the differential equations for arbitrary tree graphs (and loop integrands). We find that the basis functions can be assigned to the vertices, edges, and facets of convex g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14890","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.14890/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":"2026-07-05T10:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OjaZ9AH+MtMNXiKiP71n9jXIkN1Lv++zaThPitOyNUDr3sQ/WwA9Sk9g9g8Zr8UYaUT2lEgWCNYshfN4CPn6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:13:19.371998Z"},"content_sha256":"a14537a90abb508faf2638c5db555dfe44d40f9ab40cc2ed120798aaf1e654ce","schema_version":"1.0","event_id":"sha256:a14537a90abb508faf2638c5db555dfe44d40f9ab40cc2ed120798aaf1e654ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3LTYW3ELCGVG7WA7XWR4MIJ5AA/bundle.json","state_url":"https://pith.science/pith/3LTYW3ELCGVG7WA7XWR4MIJ5AA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3LTYW3ELCGVG7WA7XWR4MIJ5AA/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":"2026-08-05T07:13:19Z","links":{"resolver":"https://pith.science/pith/3LTYW3ELCGVG7WA7XWR4MIJ5AA","bundle":"https://pith.science/pith/3LTYW3ELCGVG7WA7XWR4MIJ5AA/bundle.json","state":"https://pith.science/pith/3LTYW3ELCGVG7WA7XWR4MIJ5AA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3LTYW3ELCGVG7WA7XWR4MIJ5AA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3LTYW3ELCGVG7WA7XWR4MIJ5AA","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":"fe63d4754fd364c5cc0713750bd902af1e2c51ca35321b63235ab729d5e3c5a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-21T06:38:04Z","title_canon_sha256":"f72b7ea67fb5bdc66668e31225f7462565f7a2e6557dad112d76e976e573b6cf"},"schema_version":"1.0","source":{"id":"2504.14890","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14890","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14890v2","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14890","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"3LTYW3ELCGVG","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"pith_short_16","alias_value":"3LTYW3ELCGVG7WA7","created_at":"2026-07-05T10:52:23Z"},{"alias_kind":"pith_short_8","alias_value":"3LTYW3EL","created_at":"2026-07-05T10:52:23Z"}],"graph_snapshots":[{"event_id":"sha256:a14537a90abb508faf2638c5db555dfe44d40f9ab40cc2ed120798aaf1e654ce","target":"graph","created_at":"2026-07-05T10:52:23Z","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/2504.14890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We uncover a geometric organization of the differential equations for the wavefunction coefficients of conformally coupled scalars in power-law cosmologies. To do this, we introduce a basis of functions inspired by a decomposition of the wavefunction into time-ordered components. Representing these basis functions and their singularities by graph tubings, we show that a remarkably simple rule for the merger of tubes produces the differential equations for arbitrary tree graphs (and loop integrands). We find that the basis functions can be assigned to the vertices, edges, and facets of convex g","authors_text":"Austin Joyce, Daniel Baumann, Guilherme L. Pimentel, Harry Goodhew, Hayden Lee, Tom Westerdijk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-21T06:38:04Z","title":"Geometry of Kinematic Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14890","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":"sha256:27d0dad3dfb5437cfc55177dce1d6d0b6c30dd71e19912045187b1fbff8ea546","target":"record","created_at":"2026-07-05T10:52:23Z","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":"fe63d4754fd364c5cc0713750bd902af1e2c51ca35321b63235ab729d5e3c5a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-21T06:38:04Z","title_canon_sha256":"f72b7ea67fb5bdc66668e31225f7462565f7a2e6557dad112d76e976e573b6cf"},"schema_version":"1.0","source":{"id":"2504.14890","kind":"arxiv","version":2}},"canonical_sha256":"dae78b6c8b11aa6fd81fbda3c6213d0025f08e84138c535bdca71ad84ba9c2bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dae78b6c8b11aa6fd81fbda3c6213d0025f08e84138c535bdca71ad84ba9c2bc","first_computed_at":"2026-07-05T10:52:23.350506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:52:23.350506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iqW4s1MHEiH6JEv6HoK8aQ0bL0HmtC0JZLNkkA3moQ/ymgXQlfWOjwbNFpU8IGZaEiyRrR0GcBsPxRtqK4BmAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:52:23.351007Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.14890","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27d0dad3dfb5437cfc55177dce1d6d0b6c30dd71e19912045187b1fbff8ea546","sha256:a14537a90abb508faf2638c5db555dfe44d40f9ab40cc2ed120798aaf1e654ce"],"state_sha256":"5e80c005f27cbe87edbfdf6e64518cd317c7bbeb2046ab26a99f27085ae27868"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+yurN35dWrwPrFu+cqyBQKc6pimuHWb6/P1Qm/xMNVELHXuiHwQ/Ry+kdiayKwN+J1OgufzOoAqdoJNdBzIEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T07:13:19.375273Z","bundle_sha256":"152cefc5226ae32fcf589a0037842dca05026a1e1fc1e4883ea6d13c84382593"}}