{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:LMNLSORL3CXE7MLTLY3BGFX4HW","short_pith_number":"pith:LMNLSORL","canonical_record":{"source":{"id":"cond-mat/0406598","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-06-24T12:54:22Z","cross_cats_sorted":[],"title_canon_sha256":"8bfda3247370e01f73cca0357ea8618f0df38ec90b8afbd6b95cd4f1d3a0a988","abstract_canon_sha256":"d7d11a4acb735116b85623bda31cc760d936c215976413fe0f374f5588feb232"},"schema_version":"1.0"},"canonical_sha256":"5b1ab93a2bd8ae4fb1735e361316fc3daad3fb2951c15918d9eefaa529db48fe","source":{"kind":"arxiv","id":"cond-mat/0406598","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0406598","created_at":"2026-05-18T01:06:53Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0406598v1","created_at":"2026-05-18T01:06:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0406598","created_at":"2026-05-18T01:06:53Z"},{"alias_kind":"pith_short_12","alias_value":"LMNLSORL3CXE","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"LMNLSORL3CXE7MLT","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"LMNLSORL","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:LMNLSORL3CXE7MLTLY3BGFX4HW","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0406598","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-06-24T12:54:22Z","cross_cats_sorted":[],"title_canon_sha256":"8bfda3247370e01f73cca0357ea8618f0df38ec90b8afbd6b95cd4f1d3a0a988","abstract_canon_sha256":"d7d11a4acb735116b85623bda31cc760d936c215976413fe0f374f5588feb232"},"schema_version":"1.0"},"canonical_sha256":"5b1ab93a2bd8ae4fb1735e361316fc3daad3fb2951c15918d9eefaa529db48fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:53.916438Z","signature_b64":"Us7GB7hoonAjn5ujNsr/9JNhwtOvM7J/jjcGyzVJZEOUxjWmXuMsYlosxHgGgXTNTMm6vIxMbBxP9Gl6akhyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b1ab93a2bd8ae4fb1735e361316fc3daad3fb2951c15918d9eefaa529db48fe","last_reissued_at":"2026-05-18T01:06:53.915977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:53.915977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0406598","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":"2026-05-18T01:06:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wIU7h6wqZi/+0vDaa452ZpWsu/lrdvG6v30iIo/O4gRZVGZRK8jK8i4zp4wF4cUIjmWQc1I8x5aLixqmyrshBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:53:22.900098Z"},"content_sha256":"f24807cc3a5d048d9f4afe932c1483750df389d1900345400e6602ae101bc8b2","schema_version":"1.0","event_id":"sha256:f24807cc3a5d048d9f4afe932c1483750df389d1900345400e6602ae101bc8b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:LMNLSORL3CXE7MLTLY3BGFX4HW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperscaling relations in the bosonic pair contact process with diffusion","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Matthias Paessens","submitted_at":"2004-06-24T12:54:22Z","abstract_excerpt":"A hyperscaling relation for the critical exponents of absorbing phase transitions is tested in the bosonic pair contact process with diffusion. To this end spreading is considered, i.e. the time evolution out of an initial seed. It is shown that like in the case of spatial homogeneous initial conditions the autocorrelation function exhibits a phase transition at the critical point of the first moment. Some of the critical exponents can be determined exactly which is an unusual property of an absorbing phase transition and provides a possibility to test the hyperscaling relation. In the case of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0406598","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":"2026-05-18T01:06:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G9GuX3vViDhz53K/G+7gJ1504j4IuYWvNjfITV639XX5h3kG1JAy5yhTJlMOu23HQmP2yt+O1bkTBI9asY5gDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:53:22.900484Z"},"content_sha256":"71dc4b605b1c850aaeaf7d44e70d8c307d078a0312e722d3173cbc111659ef8a","schema_version":"1.0","event_id":"sha256:71dc4b605b1c850aaeaf7d44e70d8c307d078a0312e722d3173cbc111659ef8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LMNLSORL3CXE7MLTLY3BGFX4HW/bundle.json","state_url":"https://pith.science/pith/LMNLSORL3CXE7MLTLY3BGFX4HW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LMNLSORL3CXE7MLTLY3BGFX4HW/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":"2026-05-31T10:53:22Z","links":{"resolver":"https://pith.science/pith/LMNLSORL3CXE7MLTLY3BGFX4HW","bundle":"https://pith.science/pith/LMNLSORL3CXE7MLTLY3BGFX4HW/bundle.json","state":"https://pith.science/pith/LMNLSORL3CXE7MLTLY3BGFX4HW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LMNLSORL3CXE7MLTLY3BGFX4HW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:LMNLSORL3CXE7MLTLY3BGFX4HW","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":"d7d11a4acb735116b85623bda31cc760d936c215976413fe0f374f5588feb232","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-06-24T12:54:22Z","title_canon_sha256":"8bfda3247370e01f73cca0357ea8618f0df38ec90b8afbd6b95cd4f1d3a0a988"},"schema_version":"1.0","source":{"id":"cond-mat/0406598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0406598","created_at":"2026-05-18T01:06:53Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0406598v1","created_at":"2026-05-18T01:06:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0406598","created_at":"2026-05-18T01:06:53Z"},{"alias_kind":"pith_short_12","alias_value":"LMNLSORL3CXE","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"LMNLSORL3CXE7MLT","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"LMNLSORL","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:71dc4b605b1c850aaeaf7d44e70d8c307d078a0312e722d3173cbc111659ef8a","target":"graph","created_at":"2026-05-18T01:06:53Z","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":"A hyperscaling relation for the critical exponents of absorbing phase transitions is tested in the bosonic pair contact process with diffusion. To this end spreading is considered, i.e. the time evolution out of an initial seed. It is shown that like in the case of spatial homogeneous initial conditions the autocorrelation function exhibits a phase transition at the critical point of the first moment. Some of the critical exponents can be determined exactly which is an unusual property of an absorbing phase transition and provides a possibility to test the hyperscaling relation. In the case of","authors_text":"Matthias Paessens","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-06-24T12:54:22Z","title":"Hyperscaling relations in the bosonic pair contact process with diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0406598","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:f24807cc3a5d048d9f4afe932c1483750df389d1900345400e6602ae101bc8b2","target":"record","created_at":"2026-05-18T01:06:53Z","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":"d7d11a4acb735116b85623bda31cc760d936c215976413fe0f374f5588feb232","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-06-24T12:54:22Z","title_canon_sha256":"8bfda3247370e01f73cca0357ea8618f0df38ec90b8afbd6b95cd4f1d3a0a988"},"schema_version":"1.0","source":{"id":"cond-mat/0406598","kind":"arxiv","version":1}},"canonical_sha256":"5b1ab93a2bd8ae4fb1735e361316fc3daad3fb2951c15918d9eefaa529db48fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b1ab93a2bd8ae4fb1735e361316fc3daad3fb2951c15918d9eefaa529db48fe","first_computed_at":"2026-05-18T01:06:53.915977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:53.915977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Us7GB7hoonAjn5ujNsr/9JNhwtOvM7J/jjcGyzVJZEOUxjWmXuMsYlosxHgGgXTNTMm6vIxMbBxP9Gl6akhyDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:53.916438Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0406598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f24807cc3a5d048d9f4afe932c1483750df389d1900345400e6602ae101bc8b2","sha256:71dc4b605b1c850aaeaf7d44e70d8c307d078a0312e722d3173cbc111659ef8a"],"state_sha256":"ff19004bec1fd19f1d90520d665c9899dd368375749eeccb72cb39e03f620fa3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jq7B4mec9G9+afKvYNAOPj6JEyG8vjI0NYUs96+k28rXdvlIG1h5N+5sMQkCxV1KuFhH2dwNwFrieObO+ofZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:53:22.903076Z","bundle_sha256":"5e43748df014d17b98cbe5d1afb8dc46bcf226689898d6c704971e7d41687be4"}}