{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CCIPMVQUIVYS7IFRSNT5DSECVP","short_pith_number":"pith:CCIPMVQU","canonical_record":{"source":{"id":"1311.4368","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T13:24:00Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"043f63093d3597a8a483634b7ba5328d973324f1e2d192ffd6a31533b2e42069","abstract_canon_sha256":"b52aa07395bb2ebb1c9b13ade89c3dde4dca8bdd525e95ca639201d724efb3f9"},"schema_version":"1.0"},"canonical_sha256":"1090f6561445712fa0b19367d1c882abe62a9342e897e4b3054472033ef46fc3","source":{"kind":"arxiv","id":"1311.4368","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4368","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4368v1","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4368","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"CCIPMVQUIVYS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CCIPMVQUIVYS7IFR","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CCIPMVQU","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CCIPMVQUIVYS7IFRSNT5DSECVP","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4368","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T13:24:00Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"043f63093d3597a8a483634b7ba5328d973324f1e2d192ffd6a31533b2e42069","abstract_canon_sha256":"b52aa07395bb2ebb1c9b13ade89c3dde4dca8bdd525e95ca639201d724efb3f9"},"schema_version":"1.0"},"canonical_sha256":"1090f6561445712fa0b19367d1c882abe62a9342e897e4b3054472033ef46fc3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:23.666524Z","signature_b64":"RvwTTxizhAh6wY6bMN2tEDWViO9ZdY9459ErRo8o+YMF+ogb7NLhH+RBEmBwVgbex8IMkYj2w3pdzI2pMFUUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1090f6561445712fa0b19367d1c882abe62a9342e897e4b3054472033ef46fc3","last_reissued_at":"2026-05-18T01:46:23.665971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:23.665971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4368","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":"2026-05-18T01:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nrWQtBj+PJBbUAIh/bCbbjaHCn684uUz46qeSFvylnI25HQfmpl7J7A9zujaUL2HnwH5sZSgfbvXzFF+RHiqAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:17:42.361421Z"},"content_sha256":"7d5084d2c9da68a6f79cdaa58f3d2f10b78081365be9b7f76b217597c749bd61","schema_version":"1.0","event_id":"sha256:7d5084d2c9da68a6f79cdaa58f3d2f10b78081365be9b7f76b217597c749bd61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CCIPMVQUIVYS7IFRSNT5DSECVP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time to absorption for a heterogeneous neutral competition model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.PR","authors_text":"Amos Maritan, Claudio Borile, Marco Formentin, Markus Fischer, Paolo Dai Pra","submitted_at":"2013-11-18T13:24:00Z","abstract_excerpt":"Neutral models aspire to explain biodiversity patterns in ecosystems where species difference can be neglected, as it might occur at a specific trophic level, and perfect symmetry is assumed between species. Voter-like models capture the essential ingredients of the neutral hypothesis and represent a paradigm for other disciplines like social studies and chemical reactions. In a system where each individual can interact with all the other members of the community, the typical time to reach an absorbing state with a single species scales linearly with the community size. Here we show, by using "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4368","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":"2026-05-18T01:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FugnMk2NTQwNjuznc12v4k0kLejL/sP6bBwvUtaTJMGJCeD6pGHFv7ahGnlSbdH+ASrBzG8il6ugcMGs5kWmDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:17:42.361772Z"},"content_sha256":"9945626eca29e84c21427c86909f606c66bb6ab151a157ab8dc83330226de365","schema_version":"1.0","event_id":"sha256:9945626eca29e84c21427c86909f606c66bb6ab151a157ab8dc83330226de365"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CCIPMVQUIVYS7IFRSNT5DSECVP/bundle.json","state_url":"https://pith.science/pith/CCIPMVQUIVYS7IFRSNT5DSECVP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CCIPMVQUIVYS7IFRSNT5DSECVP/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":"2026-06-01T06:17:42Z","links":{"resolver":"https://pith.science/pith/CCIPMVQUIVYS7IFRSNT5DSECVP","bundle":"https://pith.science/pith/CCIPMVQUIVYS7IFRSNT5DSECVP/bundle.json","state":"https://pith.science/pith/CCIPMVQUIVYS7IFRSNT5DSECVP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CCIPMVQUIVYS7IFRSNT5DSECVP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CCIPMVQUIVYS7IFRSNT5DSECVP","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":"b52aa07395bb2ebb1c9b13ade89c3dde4dca8bdd525e95ca639201d724efb3f9","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T13:24:00Z","title_canon_sha256":"043f63093d3597a8a483634b7ba5328d973324f1e2d192ffd6a31533b2e42069"},"schema_version":"1.0","source":{"id":"1311.4368","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4368","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4368v1","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4368","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"CCIPMVQUIVYS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CCIPMVQUIVYS7IFR","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CCIPMVQU","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:9945626eca29e84c21427c86909f606c66bb6ab151a157ab8dc83330226de365","target":"graph","created_at":"2026-05-18T01:46:23Z","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":"Neutral models aspire to explain biodiversity patterns in ecosystems where species difference can be neglected, as it might occur at a specific trophic level, and perfect symmetry is assumed between species. Voter-like models capture the essential ingredients of the neutral hypothesis and represent a paradigm for other disciplines like social studies and chemical reactions. In a system where each individual can interact with all the other members of the community, the typical time to reach an absorbing state with a single species scales linearly with the community size. Here we show, by using ","authors_text":"Amos Maritan, Claudio Borile, Marco Formentin, Markus Fischer, Paolo Dai Pra","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T13:24:00Z","title":"Time to absorption for a heterogeneous neutral competition model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4368","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":"sha256:7d5084d2c9da68a6f79cdaa58f3d2f10b78081365be9b7f76b217597c749bd61","target":"record","created_at":"2026-05-18T01:46:23Z","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":"b52aa07395bb2ebb1c9b13ade89c3dde4dca8bdd525e95ca639201d724efb3f9","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T13:24:00Z","title_canon_sha256":"043f63093d3597a8a483634b7ba5328d973324f1e2d192ffd6a31533b2e42069"},"schema_version":"1.0","source":{"id":"1311.4368","kind":"arxiv","version":1}},"canonical_sha256":"1090f6561445712fa0b19367d1c882abe62a9342e897e4b3054472033ef46fc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1090f6561445712fa0b19367d1c882abe62a9342e897e4b3054472033ef46fc3","first_computed_at":"2026-05-18T01:46:23.665971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:23.665971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RvwTTxizhAh6wY6bMN2tEDWViO9ZdY9459ErRo8o+YMF+ogb7NLhH+RBEmBwVgbex8IMkYj2w3pdzI2pMFUUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:23.666524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4368","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d5084d2c9da68a6f79cdaa58f3d2f10b78081365be9b7f76b217597c749bd61","sha256:9945626eca29e84c21427c86909f606c66bb6ab151a157ab8dc83330226de365"],"state_sha256":"aa53e63e400a723b870437cb2c7d7433ff8137b9c09d6c14d371558a567eb447"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ekZ0PJVsOUaHi13PtKom2r5wrYGS0S2fp7iuoTqyZ2HYYH+JJthd2kG1+qZsGyC3V1FoQExmwOuMkqlO97DyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:17:42.363822Z","bundle_sha256":"4aa4638296efb95f4f8823d7d90f30e76189dac46075f568c87c0081406f8820"}}