{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3VQTMFMARXKL6LXV2SVTPUEGVY","short_pith_number":"pith:3VQTMFMA","canonical_record":{"source":{"id":"1601.06948","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-26T09:50:05Z","cross_cats_sorted":[],"title_canon_sha256":"0b0033da63884814a5e25efa8a585ce4aef8917e90f6dd1708e6a4277e9509cf","abstract_canon_sha256":"bfb8bda80999a9eb4113f494fc9f05136160a7b7b5acb93776ec9652ceafe2ae"},"schema_version":"1.0"},"canonical_sha256":"dd613615808dd4bf2ef5d4ab37d086ae060d9a9d39aecfa29d52b6503f14c1e5","source":{"kind":"arxiv","id":"1601.06948","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06948","created_at":"2026-05-18T00:38:36Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06948v2","created_at":"2026-05-18T00:38:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06948","created_at":"2026-05-18T00:38:36Z"},{"alias_kind":"pith_short_12","alias_value":"3VQTMFMARXKL","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3VQTMFMARXKL6LXV","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3VQTMFMA","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3VQTMFMARXKL6LXV2SVTPUEGVY","target":"record","payload":{"canonical_record":{"source":{"id":"1601.06948","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-26T09:50:05Z","cross_cats_sorted":[],"title_canon_sha256":"0b0033da63884814a5e25efa8a585ce4aef8917e90f6dd1708e6a4277e9509cf","abstract_canon_sha256":"bfb8bda80999a9eb4113f494fc9f05136160a7b7b5acb93776ec9652ceafe2ae"},"schema_version":"1.0"},"canonical_sha256":"dd613615808dd4bf2ef5d4ab37d086ae060d9a9d39aecfa29d52b6503f14c1e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:36.636703Z","signature_b64":"5UibHSwzDYvHySgCVp/ezqEwopdm9AIVdD9XnvZ/IXdlnFyyYVqJk1e5dGx9CkNnazXzVXLdIojuFLKyBOxtDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd613615808dd4bf2ef5d4ab37d086ae060d9a9d39aecfa29d52b6503f14c1e5","last_reissued_at":"2026-05-18T00:38:36.636222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:36.636222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.06948","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":"2026-05-18T00:38:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HidFA/BC+Buhvc/p+v/Bm8196cL78tb5zekAM/4QJe12R5kK3rJm6H7pA0D+aWjPs41xIVJsFv0rq0APLIl9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:01:16.021206Z"},"content_sha256":"367cde9bd11602c814abef4d291d443466c5a67489583e45f14b045b8db5871c","schema_version":"1.0","event_id":"sha256:367cde9bd11602c814abef4d291d443466c5a67489583e45f14b045b8db5871c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3VQTMFMARXKL6LXV2SVTPUEGVY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Volume renormalization for the Blaschke metric on strictly convex domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Taiji Marugame","submitted_at":"2016-01-26T09:50:05Z","abstract_excerpt":"We consider the volume expansion of the Blaschke metric, which is a projectively invariant metric on a strictly convex domain in a locally flat projective manifold. When the boundary is even dimensional, we express the logarithmic coefficient L as the integral of affine invariants over the boundary. We also formulate an intrinsic geometry of the boundary as a conformal Codazzi structure and show that L gives a global conformal invariant of the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06948","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":""},"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":"2026-05-18T00:38:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0XdwSaJ3Ip5BnfTCJDNTHeqQFybRs/wNP5J829kCx30RCSqw7pBsLJ5XfZtuIbwXMuh00xOmu4zChqvgy4PLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:01:16.021608Z"},"content_sha256":"1dafae192ab14d36a0e17494ce212dc6f1b29e4b4c142ebcc2de192d467c1143","schema_version":"1.0","event_id":"sha256:1dafae192ab14d36a0e17494ce212dc6f1b29e4b4c142ebcc2de192d467c1143"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3VQTMFMARXKL6LXV2SVTPUEGVY/bundle.json","state_url":"https://pith.science/pith/3VQTMFMARXKL6LXV2SVTPUEGVY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3VQTMFMARXKL6LXV2SVTPUEGVY/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":"2026-06-25T23:01:16Z","links":{"resolver":"https://pith.science/pith/3VQTMFMARXKL6LXV2SVTPUEGVY","bundle":"https://pith.science/pith/3VQTMFMARXKL6LXV2SVTPUEGVY/bundle.json","state":"https://pith.science/pith/3VQTMFMARXKL6LXV2SVTPUEGVY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3VQTMFMARXKL6LXV2SVTPUEGVY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3VQTMFMARXKL6LXV2SVTPUEGVY","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":"bfb8bda80999a9eb4113f494fc9f05136160a7b7b5acb93776ec9652ceafe2ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-26T09:50:05Z","title_canon_sha256":"0b0033da63884814a5e25efa8a585ce4aef8917e90f6dd1708e6a4277e9509cf"},"schema_version":"1.0","source":{"id":"1601.06948","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06948","created_at":"2026-05-18T00:38:36Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06948v2","created_at":"2026-05-18T00:38:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06948","created_at":"2026-05-18T00:38:36Z"},{"alias_kind":"pith_short_12","alias_value":"3VQTMFMARXKL","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3VQTMFMARXKL6LXV","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3VQTMFMA","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:1dafae192ab14d36a0e17494ce212dc6f1b29e4b4c142ebcc2de192d467c1143","target":"graph","created_at":"2026-05-18T00:38:36Z","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":"We consider the volume expansion of the Blaschke metric, which is a projectively invariant metric on a strictly convex domain in a locally flat projective manifold. When the boundary is even dimensional, we express the logarithmic coefficient L as the integral of affine invariants over the boundary. We also formulate an intrinsic geometry of the boundary as a conformal Codazzi structure and show that L gives a global conformal invariant of the boundary.","authors_text":"Taiji Marugame","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-26T09:50:05Z","title":"Volume renormalization for the Blaschke metric on strictly convex domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06948","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":"sha256:367cde9bd11602c814abef4d291d443466c5a67489583e45f14b045b8db5871c","target":"record","created_at":"2026-05-18T00:38:36Z","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":"bfb8bda80999a9eb4113f494fc9f05136160a7b7b5acb93776ec9652ceafe2ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-26T09:50:05Z","title_canon_sha256":"0b0033da63884814a5e25efa8a585ce4aef8917e90f6dd1708e6a4277e9509cf"},"schema_version":"1.0","source":{"id":"1601.06948","kind":"arxiv","version":2}},"canonical_sha256":"dd613615808dd4bf2ef5d4ab37d086ae060d9a9d39aecfa29d52b6503f14c1e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd613615808dd4bf2ef5d4ab37d086ae060d9a9d39aecfa29d52b6503f14c1e5","first_computed_at":"2026-05-18T00:38:36.636222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:36.636222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5UibHSwzDYvHySgCVp/ezqEwopdm9AIVdD9XnvZ/IXdlnFyyYVqJk1e5dGx9CkNnazXzVXLdIojuFLKyBOxtDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:36.636703Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06948","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:367cde9bd11602c814abef4d291d443466c5a67489583e45f14b045b8db5871c","sha256:1dafae192ab14d36a0e17494ce212dc6f1b29e4b4c142ebcc2de192d467c1143"],"state_sha256":"2f6145961d5fd192aea118d5812a8eb47ff69021e3123f84deaac5386a33f8b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GsykA8qwA+W6w7ycJkoUmtSQhiUGYqLn2KiWw4JQSgWD/v6CzSI+xAii0lvIC3EKsuBy3CnraSrG9EvGtqWnDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T23:01:16.023507Z","bundle_sha256":"8d2ff744df105cfd71c3be3c891c1d4abaeeb67a168a4c7fe52e0dec3a43b01c"}}