{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IVIHEIKOM5H7X34ROQV4W6O46E","short_pith_number":"pith:IVIHEIKO","canonical_record":{"source":{"id":"1012.1070","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-06T03:21:51Z","cross_cats_sorted":[],"title_canon_sha256":"552ef22ff47918a53a521f7ffae39397a61741735d8d0f40f102735360ae5b24","abstract_canon_sha256":"21d2780ffd492b0a846d374f8256d82a63e3602a2afe1d44223c1c2c487f263b"},"schema_version":"1.0"},"canonical_sha256":"455072214e674ffbef91742bcb79dcf1036b6b04185b485e212a4fe3549abb42","source":{"kind":"arxiv","id":"1012.1070","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.1070","created_at":"2026-05-18T02:23:15Z"},{"alias_kind":"arxiv_version","alias_value":"1012.1070v4","created_at":"2026-05-18T02:23:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1070","created_at":"2026-05-18T02:23:15Z"},{"alias_kind":"pith_short_12","alias_value":"IVIHEIKOM5H7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IVIHEIKOM5H7X34R","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IVIHEIKO","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IVIHEIKOM5H7X34ROQV4W6O46E","target":"record","payload":{"canonical_record":{"source":{"id":"1012.1070","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-06T03:21:51Z","cross_cats_sorted":[],"title_canon_sha256":"552ef22ff47918a53a521f7ffae39397a61741735d8d0f40f102735360ae5b24","abstract_canon_sha256":"21d2780ffd492b0a846d374f8256d82a63e3602a2afe1d44223c1c2c487f263b"},"schema_version":"1.0"},"canonical_sha256":"455072214e674ffbef91742bcb79dcf1036b6b04185b485e212a4fe3549abb42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:15.609612Z","signature_b64":"moHFOYMFaEBvU/QZWDQa6NnTnn4jRSdNfsc+jMmJJVIH5Gs+7oACqbspeMLV45e/K4l+LSMT/5vkNl8KtP/ACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"455072214e674ffbef91742bcb79dcf1036b6b04185b485e212a4fe3549abb42","last_reissued_at":"2026-05-18T02:23:15.608962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:15.608962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.1070","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:23:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9LmE/CbPpWIUfmLH1Q9w4muE17qcWnQIDBXpoOz7BrC1/isnKNngN6oSksTJcwACMCcHWo55ehVLiAyipZSWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:47:27.714903Z"},"content_sha256":"88834af6d76df6f2dec8f5e91536ebf776175d53e500bd91f2df4e0c7c225b7d","schema_version":"1.0","event_id":"sha256:88834af6d76df6f2dec8f5e91536ebf776175d53e500bd91f2df4e0c7c225b7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IVIHEIKOM5H7X34ROQV4W6O46E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Agglomerative Percolation in Two Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Claire Christensen, Golnoosh Bizhani, Maya Paczuski, Peter Grassberger, Seung-Woo Son","submitted_at":"2010-12-06T03:21:51Z","abstract_excerpt":"We study a process termed \"agglomerative percolation\" (AP) in two dimensions. Instead of adding sites or bonds at random, in AP randomly chosen clusters are linked to all their neighbors. As a result the growth process involves a diverging length scale near a critical point. Picking target clusters with probability proportional to their mass leads to a runaway compact cluster. Choosing all clusters equally leads to a continuous transition in a new universality class for the square lattice, while the transition on the triangular lattice has the same critical exponents as ordinary percolation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1070","kind":"arxiv","version":4},"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":"2026-05-18T02:23:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"34iC0NPGw5e0koRXRxuR6nQJz+wuQQ/BNTPLYcJx1fzvBQgMQvpnW701n8VBneng72U3kSnRh18cDz96wWqvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:47:27.715519Z"},"content_sha256":"2664dbbe10ee148cff464b2f08f36810d11b364f9c274e104cca195324393078","schema_version":"1.0","event_id":"sha256:2664dbbe10ee148cff464b2f08f36810d11b364f9c274e104cca195324393078"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IVIHEIKOM5H7X34ROQV4W6O46E/bundle.json","state_url":"https://pith.science/pith/IVIHEIKOM5H7X34ROQV4W6O46E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IVIHEIKOM5H7X34ROQV4W6O46E/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":"2026-05-27T21:47:27Z","links":{"resolver":"https://pith.science/pith/IVIHEIKOM5H7X34ROQV4W6O46E","bundle":"https://pith.science/pith/IVIHEIKOM5H7X34ROQV4W6O46E/bundle.json","state":"https://pith.science/pith/IVIHEIKOM5H7X34ROQV4W6O46E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IVIHEIKOM5H7X34ROQV4W6O46E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IVIHEIKOM5H7X34ROQV4W6O46E","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":"21d2780ffd492b0a846d374f8256d82a63e3602a2afe1d44223c1c2c487f263b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-06T03:21:51Z","title_canon_sha256":"552ef22ff47918a53a521f7ffae39397a61741735d8d0f40f102735360ae5b24"},"schema_version":"1.0","source":{"id":"1012.1070","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.1070","created_at":"2026-05-18T02:23:15Z"},{"alias_kind":"arxiv_version","alias_value":"1012.1070v4","created_at":"2026-05-18T02:23:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1070","created_at":"2026-05-18T02:23:15Z"},{"alias_kind":"pith_short_12","alias_value":"IVIHEIKOM5H7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IVIHEIKOM5H7X34R","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IVIHEIKO","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:2664dbbe10ee148cff464b2f08f36810d11b364f9c274e104cca195324393078","target":"graph","created_at":"2026-05-18T02:23:15Z","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 study a process termed \"agglomerative percolation\" (AP) in two dimensions. Instead of adding sites or bonds at random, in AP randomly chosen clusters are linked to all their neighbors. As a result the growth process involves a diverging length scale near a critical point. Picking target clusters with probability proportional to their mass leads to a runaway compact cluster. Choosing all clusters equally leads to a continuous transition in a new universality class for the square lattice, while the transition on the triangular lattice has the same critical exponents as ordinary percolation.","authors_text":"Claire Christensen, Golnoosh Bizhani, Maya Paczuski, Peter Grassberger, Seung-Woo Son","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-06T03:21:51Z","title":"Agglomerative Percolation in Two Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1070","kind":"arxiv","version":4},"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":"sha256:88834af6d76df6f2dec8f5e91536ebf776175d53e500bd91f2df4e0c7c225b7d","target":"record","created_at":"2026-05-18T02:23:15Z","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":"21d2780ffd492b0a846d374f8256d82a63e3602a2afe1d44223c1c2c487f263b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-06T03:21:51Z","title_canon_sha256":"552ef22ff47918a53a521f7ffae39397a61741735d8d0f40f102735360ae5b24"},"schema_version":"1.0","source":{"id":"1012.1070","kind":"arxiv","version":4}},"canonical_sha256":"455072214e674ffbef91742bcb79dcf1036b6b04185b485e212a4fe3549abb42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"455072214e674ffbef91742bcb79dcf1036b6b04185b485e212a4fe3549abb42","first_computed_at":"2026-05-18T02:23:15.608962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:15.608962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"moHFOYMFaEBvU/QZWDQa6NnTnn4jRSdNfsc+jMmJJVIH5Gs+7oACqbspeMLV45e/K4l+LSMT/5vkNl8KtP/ACg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:15.609612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.1070","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88834af6d76df6f2dec8f5e91536ebf776175d53e500bd91f2df4e0c7c225b7d","sha256:2664dbbe10ee148cff464b2f08f36810d11b364f9c274e104cca195324393078"],"state_sha256":"021b309cf77bfe84a0fa09af25b56d1b7cb229d2bbc54a1fb4ffff20eb19c755"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tprf9mrntgIAg6/DIgw62u4nVEiDVzBVq5FanRDEzpTEc2mfK/kBsn5eKfMItfP66QCRs+Ejwq4hNAhNIqQyCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:47:27.718602Z","bundle_sha256":"e1fc99f37794f12dbf860ac1d4b02ba71d9a13b1270e936accce29b5283aa184"}}