{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RVZ3NPBQDBLKL6XHXYMCTTP527","short_pith_number":"pith:RVZ3NPBQ","canonical_record":{"source":{"id":"2311.15435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2023-11-26T21:35:34Z","cross_cats_sorted":["cs.GR","cs.LG"],"title_canon_sha256":"3b0281bdbcb3806b2b9a330ac1e8d4255958df69c49d9f11a2cf6195838b1bf2","abstract_canon_sha256":"0fe6f266176230613830c4ed0fa86399596d1b29c3006cdf7fefe6c7b20c54f8"},"schema_version":"1.0"},"canonical_sha256":"8d73b6bc301856a5fae7be1829cdfdd7dab9942d755322dae52b6af2c14307de","source":{"kind":"arxiv","id":"2311.15435","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.15435","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"arxiv_version","alias_value":"2311.15435v1","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.15435","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"pith_short_12","alias_value":"RVZ3NPBQDBLK","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"pith_short_16","alias_value":"RVZ3NPBQDBLKL6XH","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"pith_short_8","alias_value":"RVZ3NPBQ","created_at":"2026-07-05T07:17:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RVZ3NPBQDBLKL6XHXYMCTTP527","target":"record","payload":{"canonical_record":{"source":{"id":"2311.15435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2023-11-26T21:35:34Z","cross_cats_sorted":["cs.GR","cs.LG"],"title_canon_sha256":"3b0281bdbcb3806b2b9a330ac1e8d4255958df69c49d9f11a2cf6195838b1bf2","abstract_canon_sha256":"0fe6f266176230613830c4ed0fa86399596d1b29c3006cdf7fefe6c7b20c54f8"},"schema_version":"1.0"},"canonical_sha256":"8d73b6bc301856a5fae7be1829cdfdd7dab9942d755322dae52b6af2c14307de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:17:03.739195Z","signature_b64":"v9dB2NgS9ngfG8q++dOm7ORdxqwrvYQcmTyo9lIvGFXINg5vlIZlHulsdhtH0n4f5BXxjQXYWOaD/+slLf8oCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d73b6bc301856a5fae7be1829cdfdd7dab9942d755322dae52b6af2c14307de","last_reissued_at":"2026-07-05T07:17:03.738779Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:17:03.738779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.15435","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":"2026-07-05T07:17:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KpzzUnVgYsS7OIMoii3KIdve4mCEAHfa3UhFAM7PuOU1C2eYw2gF2BYQCKSeF35BUQKZ3eLtb2xytmqCf2DJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:11:19.571054Z"},"content_sha256":"fb409254291b8cbd4aff5100e091427ac1e81cec7012fe6d05a98e830db6b9c8","schema_version":"1.0","event_id":"sha256:fb409254291b8cbd4aff5100e091427ac1e81cec7012fe6d05a98e830db6b9c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RVZ3NPBQDBLKL6XHXYMCTTP527","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Functional Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GR","cs.LG"],"primary_cat":"cs.CV","authors_text":"Biao Zhang, Peter Wonka","submitted_at":"2023-11-26T21:35:34Z","abstract_excerpt":"We propose a new class of generative diffusion models, called functional diffusion. In contrast to previous work, functional diffusion works on samples that are represented by functions with a continuous domain. Functional diffusion can be seen as an extension of classical diffusion models to an infinite-dimensional domain. Functional diffusion is very versatile as images, videos, audio, 3D shapes, deformations, \\etc, can be handled by the same framework with minimal changes. In addition, functional diffusion is especially suited for irregular data or data defined in non-standard domains. In o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.15435","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/2311.15435/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":"2026-07-05T07:17:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/RpC1WAG8MAP0e2sqkZFNvVDTnMP9QTi0Ky/w+nIEz+ayh76ezofNgEYc6sMeSKF2qu9C+96TzkqswcaLvs/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:11:19.571557Z"},"content_sha256":"596855ab2cb4a785f0745b1d88cd7036194937fef9b59a5c87ce371a555c728c","schema_version":"1.0","event_id":"sha256:596855ab2cb4a785f0745b1d88cd7036194937fef9b59a5c87ce371a555c728c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVZ3NPBQDBLKL6XHXYMCTTP527/bundle.json","state_url":"https://pith.science/pith/RVZ3NPBQDBLKL6XHXYMCTTP527/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVZ3NPBQDBLKL6XHXYMCTTP527/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":"2026-08-09T01:11:19Z","links":{"resolver":"https://pith.science/pith/RVZ3NPBQDBLKL6XHXYMCTTP527","bundle":"https://pith.science/pith/RVZ3NPBQDBLKL6XHXYMCTTP527/bundle.json","state":"https://pith.science/pith/RVZ3NPBQDBLKL6XHXYMCTTP527/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVZ3NPBQDBLKL6XHXYMCTTP527/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RVZ3NPBQDBLKL6XHXYMCTTP527","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":"0fe6f266176230613830c4ed0fa86399596d1b29c3006cdf7fefe6c7b20c54f8","cross_cats_sorted":["cs.GR","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2023-11-26T21:35:34Z","title_canon_sha256":"3b0281bdbcb3806b2b9a330ac1e8d4255958df69c49d9f11a2cf6195838b1bf2"},"schema_version":"1.0","source":{"id":"2311.15435","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.15435","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"arxiv_version","alias_value":"2311.15435v1","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.15435","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"pith_short_12","alias_value":"RVZ3NPBQDBLK","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"pith_short_16","alias_value":"RVZ3NPBQDBLKL6XH","created_at":"2026-07-05T07:17:03Z"},{"alias_kind":"pith_short_8","alias_value":"RVZ3NPBQ","created_at":"2026-07-05T07:17:03Z"}],"graph_snapshots":[{"event_id":"sha256:596855ab2cb4a785f0745b1d88cd7036194937fef9b59a5c87ce371a555c728c","target":"graph","created_at":"2026-07-05T07:17:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.15435/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a new class of generative diffusion models, called functional diffusion. In contrast to previous work, functional diffusion works on samples that are represented by functions with a continuous domain. Functional diffusion can be seen as an extension of classical diffusion models to an infinite-dimensional domain. Functional diffusion is very versatile as images, videos, audio, 3D shapes, deformations, \\etc, can be handled by the same framework with minimal changes. In addition, functional diffusion is especially suited for irregular data or data defined in non-standard domains. In o","authors_text":"Biao Zhang, Peter Wonka","cross_cats":["cs.GR","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2023-11-26T21:35:34Z","title":"Functional Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.15435","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:fb409254291b8cbd4aff5100e091427ac1e81cec7012fe6d05a98e830db6b9c8","target":"record","created_at":"2026-07-05T07:17:03Z","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":"0fe6f266176230613830c4ed0fa86399596d1b29c3006cdf7fefe6c7b20c54f8","cross_cats_sorted":["cs.GR","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2023-11-26T21:35:34Z","title_canon_sha256":"3b0281bdbcb3806b2b9a330ac1e8d4255958df69c49d9f11a2cf6195838b1bf2"},"schema_version":"1.0","source":{"id":"2311.15435","kind":"arxiv","version":1}},"canonical_sha256":"8d73b6bc301856a5fae7be1829cdfdd7dab9942d755322dae52b6af2c14307de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d73b6bc301856a5fae7be1829cdfdd7dab9942d755322dae52b6af2c14307de","first_computed_at":"2026-07-05T07:17:03.738779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:17:03.738779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v9dB2NgS9ngfG8q++dOm7ORdxqwrvYQcmTyo9lIvGFXINg5vlIZlHulsdhtH0n4f5BXxjQXYWOaD/+slLf8oCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:17:03.739195Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.15435","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb409254291b8cbd4aff5100e091427ac1e81cec7012fe6d05a98e830db6b9c8","sha256:596855ab2cb4a785f0745b1d88cd7036194937fef9b59a5c87ce371a555c728c"],"state_sha256":"22f707bd31bf64fbb6f6486e1be9fb4b9fae7ea263930ef455a9dc5e3efb4053"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AA3UUU37SpmgKEfIA52e3wFycqfyAyq4UXU0lkGsWhufYMSr8+en76B996vI1AcsWCT5sWRBHgDDTXtRHVmCCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T01:11:19.575949Z","bundle_sha256":"c8e4dde2011781bad6da26fa9e450f2bbf4f1a365b06882c9026e990e54d84cd"}}