{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YKTJUPWWKV2PV4T36MFF4UARCB","short_pith_number":"pith:YKTJUPWW","canonical_record":{"source":{"id":"1808.08418","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-25T12:12:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4f2a135f97a61e6eb0cd3d5a14698dbea565e341c9b7736e292e14e5d3ee5405","abstract_canon_sha256":"fce2ac07aec5eefd52c8b1054a01b85a78bcc8d140b9f7d9dc7d83613476e644"},"schema_version":"1.0"},"canonical_sha256":"c2a69a3ed65574faf27bf30a5e5011104b281226752af9155ceed731fc6edde7","source":{"kind":"arxiv","id":"1808.08418","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08418","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08418v2","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08418","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"YKTJUPWWKV2P","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YKTJUPWWKV2PV4T3","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YKTJUPWW","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YKTJUPWWKV2PV4T36MFF4UARCB","target":"record","payload":{"canonical_record":{"source":{"id":"1808.08418","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-25T12:12:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4f2a135f97a61e6eb0cd3d5a14698dbea565e341c9b7736e292e14e5d3ee5405","abstract_canon_sha256":"fce2ac07aec5eefd52c8b1054a01b85a78bcc8d140b9f7d9dc7d83613476e644"},"schema_version":"1.0"},"canonical_sha256":"c2a69a3ed65574faf27bf30a5e5011104b281226752af9155ceed731fc6edde7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:13.808580Z","signature_b64":"/Dc4SawcghxfT/1RJOfAujIteYTfM5SLlHptAD9fHJJAi36YsP5lD4Nvmok9Y2F/lOpghNQTIekbmGtmonC/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2a69a3ed65574faf27bf30a5e5011104b281226752af9155ceed731fc6edde7","last_reissued_at":"2026-05-17T23:58:13.808104Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:13.808104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.08418","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":"2026-05-17T23:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VfC71DvTSN1/rkGBq35GdkyTdQVfMiO7Q1zbN18Z90j6HNw7EOvM/fASLtPMI3fqSx4h+0l3SDYfdL+jukSgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:47:23.352569Z"},"content_sha256":"4c4516e18dcc37be468120df7117d65bb719a31e9be6a2e34988bcdb5dcc8aaa","schema_version":"1.0","event_id":"sha256:4c4516e18dcc37be468120df7117d65bb719a31e9be6a2e34988bcdb5dcc8aaa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YKTJUPWWKV2PV4T36MFF4UARCB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Field-theoretic approach to the universality of branching processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Benjamin Walter, Gunnar Pruessner, Johannes Pausch, Rosalba Garcia-Millan","submitted_at":"2018-08-25T12:12:48Z","abstract_excerpt":"Branching processes are widely used to model phenomena from networks to neuronal avalanching. In a large class of continuous-time branching processes, we study the temporal scaling of the moments of the instant population size, the survival probability, expected avalanche duration, the so-called avalanche shape, the $n$-point correlation function and the probability density function of the total avalanche size. Previous studies have shown universality in certain observables of branching processes using probabilistic arguments, however, a comprehensive description is lacking. We derive the fiel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08418","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":"2026-05-17T23:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E/s2Ht1FliLM7+YB0uAskJpWRE+F1ksINXNLwfHZt4Hy00lqX7zqvP1AMf1NHtgPEEEjl8s6zueZLzW5T87kAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:47:23.353172Z"},"content_sha256":"a4b31c10c8c7ac20006732da8989fbbc2c4e0c75b42e87dc5566157b156dad58","schema_version":"1.0","event_id":"sha256:a4b31c10c8c7ac20006732da8989fbbc2c4e0c75b42e87dc5566157b156dad58"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YKTJUPWWKV2PV4T36MFF4UARCB/bundle.json","state_url":"https://pith.science/pith/YKTJUPWWKV2PV4T36MFF4UARCB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YKTJUPWWKV2PV4T36MFF4UARCB/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":"2026-06-09T13:47:23Z","links":{"resolver":"https://pith.science/pith/YKTJUPWWKV2PV4T36MFF4UARCB","bundle":"https://pith.science/pith/YKTJUPWWKV2PV4T36MFF4UARCB/bundle.json","state":"https://pith.science/pith/YKTJUPWWKV2PV4T36MFF4UARCB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YKTJUPWWKV2PV4T36MFF4UARCB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YKTJUPWWKV2PV4T36MFF4UARCB","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":"fce2ac07aec5eefd52c8b1054a01b85a78bcc8d140b9f7d9dc7d83613476e644","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-25T12:12:48Z","title_canon_sha256":"4f2a135f97a61e6eb0cd3d5a14698dbea565e341c9b7736e292e14e5d3ee5405"},"schema_version":"1.0","source":{"id":"1808.08418","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08418","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08418v2","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08418","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"YKTJUPWWKV2P","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YKTJUPWWKV2PV4T3","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YKTJUPWW","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:a4b31c10c8c7ac20006732da8989fbbc2c4e0c75b42e87dc5566157b156dad58","target":"graph","created_at":"2026-05-17T23:58:13Z","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":"Branching processes are widely used to model phenomena from networks to neuronal avalanching. In a large class of continuous-time branching processes, we study the temporal scaling of the moments of the instant population size, the survival probability, expected avalanche duration, the so-called avalanche shape, the $n$-point correlation function and the probability density function of the total avalanche size. Previous studies have shown universality in certain observables of branching processes using probabilistic arguments, however, a comprehensive description is lacking. We derive the fiel","authors_text":"Benjamin Walter, Gunnar Pruessner, Johannes Pausch, Rosalba Garcia-Millan","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-25T12:12:48Z","title":"Field-theoretic approach to the universality of branching processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08418","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":"sha256:4c4516e18dcc37be468120df7117d65bb719a31e9be6a2e34988bcdb5dcc8aaa","target":"record","created_at":"2026-05-17T23:58:13Z","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":"fce2ac07aec5eefd52c8b1054a01b85a78bcc8d140b9f7d9dc7d83613476e644","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-25T12:12:48Z","title_canon_sha256":"4f2a135f97a61e6eb0cd3d5a14698dbea565e341c9b7736e292e14e5d3ee5405"},"schema_version":"1.0","source":{"id":"1808.08418","kind":"arxiv","version":2}},"canonical_sha256":"c2a69a3ed65574faf27bf30a5e5011104b281226752af9155ceed731fc6edde7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2a69a3ed65574faf27bf30a5e5011104b281226752af9155ceed731fc6edde7","first_computed_at":"2026-05-17T23:58:13.808104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:13.808104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Dc4SawcghxfT/1RJOfAujIteYTfM5SLlHptAD9fHJJAi36YsP5lD4Nvmok9Y2F/lOpghNQTIekbmGtmonC/DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:13.808580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08418","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c4516e18dcc37be468120df7117d65bb719a31e9be6a2e34988bcdb5dcc8aaa","sha256:a4b31c10c8c7ac20006732da8989fbbc2c4e0c75b42e87dc5566157b156dad58"],"state_sha256":"2787baa165aa82d81b4ebf9a4a5f50cc012e1226fa7dc4726d52a6f26101c013"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xi01yxZQpT2M8JoNp/V0x+L8ryCLIUXrUaOzTJWNWg1PedKkGWjvvBAxzj7PJWOyxI4qvXDIj4M3WrabYqiqDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T13:47:23.355991Z","bundle_sha256":"f69ab663643e758346ebce3092e379152c9c8471b3188f206b3f962c93033cfc"}}