{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:HWMWP7ITJAAM44SDLN4DWFGY3T","short_pith_number":"pith:HWMWP7IT","canonical_record":{"source":{"id":"2312.12517","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T19:00:04Z","cross_cats_sorted":["math-ph","math.AT","math.DG","math.KT","math.MP"],"title_canon_sha256":"bd8ac7e3e79f977aa0b248b4117aae67c8255df6b41f9369b42a5341f6fde52c","abstract_canon_sha256":"c72b0fe0c7e159a88818543b6ec2793cc758f4e14e391d8c677c10935c9a16ae"},"schema_version":"1.0"},"canonical_sha256":"3d9967fd134800ce72435b783b14d8dcebf1f0732ac542c45da2c93ea23b32d3","source":{"kind":"arxiv","id":"2312.12517","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12517","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12517v3","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12517","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"pith_short_12","alias_value":"HWMWP7ITJAAM","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"pith_short_16","alias_value":"HWMWP7ITJAAM44SD","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"pith_short_8","alias_value":"HWMWP7IT","created_at":"2026-07-05T08:16:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:HWMWP7ITJAAM44SDLN4DWFGY3T","target":"record","payload":{"canonical_record":{"source":{"id":"2312.12517","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T19:00:04Z","cross_cats_sorted":["math-ph","math.AT","math.DG","math.KT","math.MP"],"title_canon_sha256":"bd8ac7e3e79f977aa0b248b4117aae67c8255df6b41f9369b42a5341f6fde52c","abstract_canon_sha256":"c72b0fe0c7e159a88818543b6ec2793cc758f4e14e391d8c677c10935c9a16ae"},"schema_version":"1.0"},"canonical_sha256":"3d9967fd134800ce72435b783b14d8dcebf1f0732ac542c45da2c93ea23b32d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:16:45.517155Z","signature_b64":"5AOD2DFHC409mDfMJuDJ/caotdVbhqbS7IX8DA5+a1+PNQp2e5p6v92ahrkjQi7ILhMH5Y8WzV3N/hoh8tRHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d9967fd134800ce72435b783b14d8dcebf1f0732ac542c45da2c93ea23b32d3","last_reissued_at":"2026-07-05T08:16:45.516599Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:16:45.516599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.12517","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":"2026-07-05T08:16:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pY4aocfjj1TH/g7Zok8z4nFlJ8l01ZNpBH2AjAeOz6exxW/DedsuZazERkGrcHlbJbzoP7zzdO6dBUHgOg/dDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T19:37:16.397152Z"},"content_sha256":"d1c4a380d5e2af5cbb8cf1facc002770bfcb04e8e18daf47520071ad90898247","schema_version":"1.0","event_id":"sha256:d1c4a380d5e2af5cbb8cf1facc002770bfcb04e8e18daf47520071ad90898247"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:HWMWP7ITJAAM44SDLN4DWFGY3T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flux Quantization on Phase Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AT","math.DG","math.KT","math.MP"],"primary_cat":"hep-th","authors_text":"Hisham Sati, Urs Schreiber","submitted_at":"2023-12-19T19:00:04Z","abstract_excerpt":"While it has become widely appreciated that (higher) gauge theories need, besides their variational phase space data, to be equipped with \"flux quantization laws\" in generalized differential cohomology, there used to be no general prescription for how to define and construct the resulting flux-quantized phase space stacks.\n  In this short note we observe that all higher Maxwell-type equations have solution spaces given by flux densities on a Cauchy surface subject to a higher Gauss law and no further constraint: The metric duality-constraint is all absorbed into the evolution equation away fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12517","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/2312.12517/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":"2026-07-05T08:16:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LcJpkxDkicrS9MZkGPQtUcoo9ZwGeJlbtJq/S4fCNVZJWr9ycjUYydylENI68yaiS5gepAHK/W4oOKChMtr1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T19:37:16.398059Z"},"content_sha256":"93f8eed982c9ff96d42a55cd7d7882bbe2ad4fd37dbc7bf0ee7b9e4d07d41927","schema_version":"1.0","event_id":"sha256:93f8eed982c9ff96d42a55cd7d7882bbe2ad4fd37dbc7bf0ee7b9e4d07d41927"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HWMWP7ITJAAM44SDLN4DWFGY3T/bundle.json","state_url":"https://pith.science/pith/HWMWP7ITJAAM44SDLN4DWFGY3T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HWMWP7ITJAAM44SDLN4DWFGY3T/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":"2026-08-13T19:37:16Z","links":{"resolver":"https://pith.science/pith/HWMWP7ITJAAM44SDLN4DWFGY3T","bundle":"https://pith.science/pith/HWMWP7ITJAAM44SDLN4DWFGY3T/bundle.json","state":"https://pith.science/pith/HWMWP7ITJAAM44SDLN4DWFGY3T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HWMWP7ITJAAM44SDLN4DWFGY3T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HWMWP7ITJAAM44SDLN4DWFGY3T","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":"c72b0fe0c7e159a88818543b6ec2793cc758f4e14e391d8c677c10935c9a16ae","cross_cats_sorted":["math-ph","math.AT","math.DG","math.KT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T19:00:04Z","title_canon_sha256":"bd8ac7e3e79f977aa0b248b4117aae67c8255df6b41f9369b42a5341f6fde52c"},"schema_version":"1.0","source":{"id":"2312.12517","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12517","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12517v3","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12517","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"pith_short_12","alias_value":"HWMWP7ITJAAM","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"pith_short_16","alias_value":"HWMWP7ITJAAM44SD","created_at":"2026-07-05T08:16:45Z"},{"alias_kind":"pith_short_8","alias_value":"HWMWP7IT","created_at":"2026-07-05T08:16:45Z"}],"graph_snapshots":[{"event_id":"sha256:93f8eed982c9ff96d42a55cd7d7882bbe2ad4fd37dbc7bf0ee7b9e4d07d41927","target":"graph","created_at":"2026-07-05T08:16:45Z","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/2312.12517/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While it has become widely appreciated that (higher) gauge theories need, besides their variational phase space data, to be equipped with \"flux quantization laws\" in generalized differential cohomology, there used to be no general prescription for how to define and construct the resulting flux-quantized phase space stacks.\n  In this short note we observe that all higher Maxwell-type equations have solution spaces given by flux densities on a Cauchy surface subject to a higher Gauss law and no further constraint: The metric duality-constraint is all absorbed into the evolution equation away fro","authors_text":"Hisham Sati, Urs Schreiber","cross_cats":["math-ph","math.AT","math.DG","math.KT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T19:00:04Z","title":"Flux Quantization on Phase Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12517","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:d1c4a380d5e2af5cbb8cf1facc002770bfcb04e8e18daf47520071ad90898247","target":"record","created_at":"2026-07-05T08:16:45Z","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":"c72b0fe0c7e159a88818543b6ec2793cc758f4e14e391d8c677c10935c9a16ae","cross_cats_sorted":["math-ph","math.AT","math.DG","math.KT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T19:00:04Z","title_canon_sha256":"bd8ac7e3e79f977aa0b248b4117aae67c8255df6b41f9369b42a5341f6fde52c"},"schema_version":"1.0","source":{"id":"2312.12517","kind":"arxiv","version":3}},"canonical_sha256":"3d9967fd134800ce72435b783b14d8dcebf1f0732ac542c45da2c93ea23b32d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d9967fd134800ce72435b783b14d8dcebf1f0732ac542c45da2c93ea23b32d3","first_computed_at":"2026-07-05T08:16:45.516599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:16:45.516599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5AOD2DFHC409mDfMJuDJ/caotdVbhqbS7IX8DA5+a1+PNQp2e5p6v92ahrkjQi7ILhMH5Y8WzV3N/hoh8tRHDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:16:45.517155Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.12517","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1c4a380d5e2af5cbb8cf1facc002770bfcb04e8e18daf47520071ad90898247","sha256:93f8eed982c9ff96d42a55cd7d7882bbe2ad4fd37dbc7bf0ee7b9e4d07d41927"],"state_sha256":"dc315d5e81047e7f9dddd3468657b3f70e39cd294159178eebf15d05f330bb7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PvbiOKTphRnPRX6QbOQip66SY6I3xIMgL1jNORCYcuyQuaJ9Jl4WljOmxqmbQEHUn64JzSV7brn7Frn9AbRuCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T19:37:16.478191Z","bundle_sha256":"b07c043b7e94899bcd6003cb5e8fa76529e3ee67fa2d9178d418dff300db0f47"}}