{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2N747AV5AIR2L52TDQW5ENCOXC","short_pith_number":"pith:2N747AV5","canonical_record":{"source":{"id":"1309.3087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-12T09:59:48Z","cross_cats_sorted":[],"title_canon_sha256":"dca54a12fe11f4c9c109da4cfe5e1bb194177d44fda219fb30b3149d5a5d3f27","abstract_canon_sha256":"f3ff0533662677868070b4452fd0b0467dd4b78a05e8821803cafe68c8010b57"},"schema_version":"1.0"},"canonical_sha256":"d37fcf82bd0223a5f7531c2dd2344eb8b5c4d05d83af1ba670961801cd0395fe","source":{"kind":"arxiv","id":"1309.3087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3087","created_at":"2026-05-18T03:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3087v1","created_at":"2026-05-18T03:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3087","created_at":"2026-05-18T03:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"2N747AV5AIR2","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2N747AV5AIR2L52T","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2N747AV5","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2N747AV5AIR2L52TDQW5ENCOXC","target":"record","payload":{"canonical_record":{"source":{"id":"1309.3087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-12T09:59:48Z","cross_cats_sorted":[],"title_canon_sha256":"dca54a12fe11f4c9c109da4cfe5e1bb194177d44fda219fb30b3149d5a5d3f27","abstract_canon_sha256":"f3ff0533662677868070b4452fd0b0467dd4b78a05e8821803cafe68c8010b57"},"schema_version":"1.0"},"canonical_sha256":"d37fcf82bd0223a5f7531c2dd2344eb8b5c4d05d83af1ba670961801cd0395fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:58.481931Z","signature_b64":"2w0ruKped2dE/3Y6nNKJ9UBePCs5rOUxuaQOsXZHpEtdNCKdR74SKP7qElHG7emf6ZbDUiSWftr0Z4Nf2USMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d37fcf82bd0223a5f7531c2dd2344eb8b5c4d05d83af1ba670961801cd0395fe","last_reissued_at":"2026-05-18T03:00:58.481330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:58.481330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.3087","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":"2026-05-18T03:00:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v6OwGA0bCudS81JBY94h6jYhn2kEcCssHR5Kw8+3BhffVD+rpf3o87+pdpdCmPWOUUzKGyfbQl5wXRK6mWuSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:09:52.214745Z"},"content_sha256":"6f62becb5fab2a11043dd5bb02c89d12a3ab26b9f00a391ff3e00aee75bf5387","schema_version":"1.0","event_id":"sha256:6f62becb5fab2a11043dd5bb02c89d12a3ab26b9f00a391ff3e00aee75bf5387"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2N747AV5AIR2L52TDQW5ENCOXC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solving the Hamiltonian constraint for 1+log trumpets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bernd Bruegmann, Tim Dietrich","submitted_at":"2013-09-12T09:59:48Z","abstract_excerpt":"The puncture method specifies black hole data on a hypersurface with the aid of a conformal rescaling of the metric that exhibits a coordinate singularity at the puncture point. When constructing puncture initial data by solving the Hamiltonian constraint for the conformal factor, the coordinate singularity requires special attention. The standard way to treat the pole singularity occurring in wormhole puncture data is not generally applicable to trumpet puncture data. We investigate a new approach based on inverse powers of the conformal factor and present numerical examples for single punctu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3087","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":"2026-05-18T03:00:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NNPQ3H7VP8q4AHp3ScJtllx/kkw8ju97ycvGyC8l5fp46oY2Sp9CfPrQPiYBIE/yDXjkZFjlvQl/NVpgonoXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:09:52.215083Z"},"content_sha256":"a563435f3b7a04d8bd4f931af65ce0fd2adcfa369dfc4c07c024f1b4d4562d0e","schema_version":"1.0","event_id":"sha256:a563435f3b7a04d8bd4f931af65ce0fd2adcfa369dfc4c07c024f1b4d4562d0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2N747AV5AIR2L52TDQW5ENCOXC/bundle.json","state_url":"https://pith.science/pith/2N747AV5AIR2L52TDQW5ENCOXC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2N747AV5AIR2L52TDQW5ENCOXC/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":"2026-06-09T01:09:52Z","links":{"resolver":"https://pith.science/pith/2N747AV5AIR2L52TDQW5ENCOXC","bundle":"https://pith.science/pith/2N747AV5AIR2L52TDQW5ENCOXC/bundle.json","state":"https://pith.science/pith/2N747AV5AIR2L52TDQW5ENCOXC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2N747AV5AIR2L52TDQW5ENCOXC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2N747AV5AIR2L52TDQW5ENCOXC","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":"f3ff0533662677868070b4452fd0b0467dd4b78a05e8821803cafe68c8010b57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-12T09:59:48Z","title_canon_sha256":"dca54a12fe11f4c9c109da4cfe5e1bb194177d44fda219fb30b3149d5a5d3f27"},"schema_version":"1.0","source":{"id":"1309.3087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3087","created_at":"2026-05-18T03:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3087v1","created_at":"2026-05-18T03:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3087","created_at":"2026-05-18T03:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"2N747AV5AIR2","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2N747AV5AIR2L52T","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2N747AV5","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:a563435f3b7a04d8bd4f931af65ce0fd2adcfa369dfc4c07c024f1b4d4562d0e","target":"graph","created_at":"2026-05-18T03:00:58Z","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":"The puncture method specifies black hole data on a hypersurface with the aid of a conformal rescaling of the metric that exhibits a coordinate singularity at the puncture point. When constructing puncture initial data by solving the Hamiltonian constraint for the conformal factor, the coordinate singularity requires special attention. The standard way to treat the pole singularity occurring in wormhole puncture data is not generally applicable to trumpet puncture data. We investigate a new approach based on inverse powers of the conformal factor and present numerical examples for single punctu","authors_text":"Bernd Bruegmann, Tim Dietrich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-12T09:59:48Z","title":"Solving the Hamiltonian constraint for 1+log trumpets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3087","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":"sha256:6f62becb5fab2a11043dd5bb02c89d12a3ab26b9f00a391ff3e00aee75bf5387","target":"record","created_at":"2026-05-18T03:00:58Z","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":"f3ff0533662677868070b4452fd0b0467dd4b78a05e8821803cafe68c8010b57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-12T09:59:48Z","title_canon_sha256":"dca54a12fe11f4c9c109da4cfe5e1bb194177d44fda219fb30b3149d5a5d3f27"},"schema_version":"1.0","source":{"id":"1309.3087","kind":"arxiv","version":1}},"canonical_sha256":"d37fcf82bd0223a5f7531c2dd2344eb8b5c4d05d83af1ba670961801cd0395fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d37fcf82bd0223a5f7531c2dd2344eb8b5c4d05d83af1ba670961801cd0395fe","first_computed_at":"2026-05-18T03:00:58.481330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:58.481330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2w0ruKped2dE/3Y6nNKJ9UBePCs5rOUxuaQOsXZHpEtdNCKdR74SKP7qElHG7emf6ZbDUiSWftr0Z4Nf2USMDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:58.481931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f62becb5fab2a11043dd5bb02c89d12a3ab26b9f00a391ff3e00aee75bf5387","sha256:a563435f3b7a04d8bd4f931af65ce0fd2adcfa369dfc4c07c024f1b4d4562d0e"],"state_sha256":"bcff7a6124087119204e38d2a930fa7e9c1ec19506983383e8621da0ab883e17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5nR9+sC/i7JqVlvMZsx1X81LAy1feIsa7enkN8/33sW2Z5Q94WaoM76i6NZvigedkgW3gWvQWHg6Hpwk8vniAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T01:09:52.216974Z","bundle_sha256":"aa8be1efbc3e55dcd2676accff2349da9c7b8005ffd72dc5359c6cf2a81eb399"}}