{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:BL2E75L55VDGODML4KB6UNZZUD","short_pith_number":"pith:BL2E75L5","canonical_record":{"source":{"id":"0905.0626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-05-05T15:29:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"918f6e16934f899d3ba8cdc3d47890b63f3146890ead746dab23a4e48a75297a","abstract_canon_sha256":"d511738a5adee1a734b8b1c57c8c9991ebf1360ac7f8b539949734dd8c258fa6"},"schema_version":"1.0"},"canonical_sha256":"0af44ff57ded46670d8be283ea3739a0d63515d221836263d94b9ced58482f5b","source":{"kind":"arxiv","id":"0905.0626","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.0626","created_at":"2026-05-18T02:13:47Z"},{"alias_kind":"arxiv_version","alias_value":"0905.0626v1","created_at":"2026-05-18T02:13:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.0626","created_at":"2026-05-18T02:13:47Z"},{"alias_kind":"pith_short_12","alias_value":"BL2E75L55VDG","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BL2E75L55VDGODML","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BL2E75L5","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:BL2E75L55VDGODML4KB6UNZZUD","target":"record","payload":{"canonical_record":{"source":{"id":"0905.0626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-05-05T15:29:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"918f6e16934f899d3ba8cdc3d47890b63f3146890ead746dab23a4e48a75297a","abstract_canon_sha256":"d511738a5adee1a734b8b1c57c8c9991ebf1360ac7f8b539949734dd8c258fa6"},"schema_version":"1.0"},"canonical_sha256":"0af44ff57ded46670d8be283ea3739a0d63515d221836263d94b9ced58482f5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:47.477601Z","signature_b64":"Sg55DpwILo2JrOoIgDkta9HJD4z9fFYLEawgLRl0imBRVj4HT8NIyVgsvwqglG56nC4UEEhdOAk5K6tUO6f+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0af44ff57ded46670d8be283ea3739a0d63515d221836263d94b9ced58482f5b","last_reissued_at":"2026-05-18T02:13:47.476812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:47.476812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.0626","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":"2026-05-18T02:13:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VTC8WqMYrv/A0k4proJhmPwFUyW5AXlZKfxO+ZTKsOqmkdmSRpt23OL1Xuq6OX+j5sDHUyrvn119OpR0zBF8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:50:20.208928Z"},"content_sha256":"2625bba3c9aec739a78ad48443cdfc4bdaf688cc68339334813f7ea9c05c6b50","schema_version":"1.0","event_id":"sha256:2625bba3c9aec739a78ad48443cdfc4bdaf688cc68339334813f7ea9c05c6b50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:BL2E75L55VDGODML4KB6UNZZUD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of the gauge equivalent classes in stationary transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Alexandru Tamasan, Plamen Stefanov, Stephen McDowall","submitted_at":"2009-05-05T15:29:47Z","abstract_excerpt":"For anisotropic attenuating media, the albedo operator determines the scattering and the attenuation coefficients up to a gauge transformation. We show that such a determination is stable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.0626","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":""},"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":"2026-05-18T02:13:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1pDkhlMmeLkx/Gin8Ja8uSqB1JkFnOt4+Yr9wSMmXlap4VnJ87hscqQ+DWkxUlOVIld8PPrqQ4vprdUcSHr/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:50:20.209270Z"},"content_sha256":"d81a7812c6dab759047369311693598c5b4453d3b3cbca7105d04e91953f7cbc","schema_version":"1.0","event_id":"sha256:d81a7812c6dab759047369311693598c5b4453d3b3cbca7105d04e91953f7cbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BL2E75L55VDGODML4KB6UNZZUD/bundle.json","state_url":"https://pith.science/pith/BL2E75L55VDGODML4KB6UNZZUD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BL2E75L55VDGODML4KB6UNZZUD/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":"2026-06-25T22:50:20Z","links":{"resolver":"https://pith.science/pith/BL2E75L55VDGODML4KB6UNZZUD","bundle":"https://pith.science/pith/BL2E75L55VDGODML4KB6UNZZUD/bundle.json","state":"https://pith.science/pith/BL2E75L55VDGODML4KB6UNZZUD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BL2E75L55VDGODML4KB6UNZZUD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:BL2E75L55VDGODML4KB6UNZZUD","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":"d511738a5adee1a734b8b1c57c8c9991ebf1360ac7f8b539949734dd8c258fa6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-05-05T15:29:47Z","title_canon_sha256":"918f6e16934f899d3ba8cdc3d47890b63f3146890ead746dab23a4e48a75297a"},"schema_version":"1.0","source":{"id":"0905.0626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.0626","created_at":"2026-05-18T02:13:47Z"},{"alias_kind":"arxiv_version","alias_value":"0905.0626v1","created_at":"2026-05-18T02:13:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.0626","created_at":"2026-05-18T02:13:47Z"},{"alias_kind":"pith_short_12","alias_value":"BL2E75L55VDG","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BL2E75L55VDGODML","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BL2E75L5","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:d81a7812c6dab759047369311693598c5b4453d3b3cbca7105d04e91953f7cbc","target":"graph","created_at":"2026-05-18T02:13:47Z","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"},"paper":{"abstract_excerpt":"For anisotropic attenuating media, the albedo operator determines the scattering and the attenuation coefficients up to a gauge transformation. We show that such a determination is stable.","authors_text":"Alexandru Tamasan, Plamen Stefanov, Stephen McDowall","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-05-05T15:29:47Z","title":"Stability of the gauge equivalent classes in stationary transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.0626","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":"sha256:2625bba3c9aec739a78ad48443cdfc4bdaf688cc68339334813f7ea9c05c6b50","target":"record","created_at":"2026-05-18T02:13:47Z","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":"d511738a5adee1a734b8b1c57c8c9991ebf1360ac7f8b539949734dd8c258fa6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-05-05T15:29:47Z","title_canon_sha256":"918f6e16934f899d3ba8cdc3d47890b63f3146890ead746dab23a4e48a75297a"},"schema_version":"1.0","source":{"id":"0905.0626","kind":"arxiv","version":1}},"canonical_sha256":"0af44ff57ded46670d8be283ea3739a0d63515d221836263d94b9ced58482f5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0af44ff57ded46670d8be283ea3739a0d63515d221836263d94b9ced58482f5b","first_computed_at":"2026-05-18T02:13:47.476812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:47.476812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sg55DpwILo2JrOoIgDkta9HJD4z9fFYLEawgLRl0imBRVj4HT8NIyVgsvwqglG56nC4UEEhdOAk5K6tUO6f+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:47.477601Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.0626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2625bba3c9aec739a78ad48443cdfc4bdaf688cc68339334813f7ea9c05c6b50","sha256:d81a7812c6dab759047369311693598c5b4453d3b3cbca7105d04e91953f7cbc"],"state_sha256":"14768437f550a0429bc3a12f1e13e6dfef46aea99668061be8425126f8d3d3c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mxr5R3hwOidX85gw2ZiZ3w3SsbwQfaAUkn5AF53LO8sY9dNkg0Wqyn7IUeN7dnW4CUsyi+A9SMZ3u9KD9+D8Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T22:50:20.211183Z","bundle_sha256":"e88989570cd134fcac70ab768fb3be938fceffe0a1da0604359f72bb3a2eb66e"}}