{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FVGDMISG76S5XUTEAB3XJXUPKI","short_pith_number":"pith:FVGDMISG","canonical_record":{"source":{"id":"1710.11064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-10-30T16:56:32Z","cross_cats_sorted":["cs.DM","math.PR","physics.soc-ph"],"title_canon_sha256":"1d12783c570c5cd2d134349c7da6f73758d12c03d00ed64b063e706bd3fa0e03","abstract_canon_sha256":"d66943cdf0ae86748dea351086b1704debd4d4479f5dc73a3d261865902366dc"},"schema_version":"1.0"},"canonical_sha256":"2d4c362246ffa5dbd264007774de8f522d1866357a1cdb0fc47250e6c7d93669","source":{"kind":"arxiv","id":"1710.11064","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11064","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11064v3","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11064","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"FVGDMISG76S5","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FVGDMISG76S5XUTE","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FVGDMISG","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FVGDMISG76S5XUTEAB3XJXUPKI","target":"record","payload":{"canonical_record":{"source":{"id":"1710.11064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-10-30T16:56:32Z","cross_cats_sorted":["cs.DM","math.PR","physics.soc-ph"],"title_canon_sha256":"1d12783c570c5cd2d134349c7da6f73758d12c03d00ed64b063e706bd3fa0e03","abstract_canon_sha256":"d66943cdf0ae86748dea351086b1704debd4d4479f5dc73a3d261865902366dc"},"schema_version":"1.0"},"canonical_sha256":"2d4c362246ffa5dbd264007774de8f522d1866357a1cdb0fc47250e6c7d93669","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:00.021200Z","signature_b64":"lDOEWZUlsoWpsplF9yCX10XeOPLJ9rgjsKeRCxLNgziDcTjJPhMr96ePPGWjI+0GX9LxnvLr1MTKRO1LDLxjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d4c362246ffa5dbd264007774de8f522d1866357a1cdb0fc47250e6c7d93669","last_reissued_at":"2026-05-18T00:01:00.020613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:00.020613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.11064","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BnM7gf5zObu/xk71QgdFDuSnBQkEvYmvGTiyYVNi4QEQionKu4GBMoeF4TrHxVXZrslUclShUSmDReI0Q9ZQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:09:53.629814Z"},"content_sha256":"3261c0b860ba30677de943486e7acce36ccc79b63a158d40df7539b021b0e96e","schema_version":"1.0","event_id":"sha256:3261c0b860ba30677de943486e7acce36ccc79b63a158d40df7539b021b0e96e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FVGDMISG76S5XUTEAB3XJXUPKI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic degree distributions in large (homogeneous) random networks: A little theory and a counterexample","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","math.PR","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Armand M. Makowski, Siddharth Pal","submitted_at":"2017-10-30T16:56:32Z","abstract_excerpt":"In random graph models, the degree distribution of an individual node should be distinguished from the (empirical) degree distribution of the graph that records the fractions of nodes with given degree. We introduce a general framework to explore when these two degree distributions coincide asymptotically in large homogeneous random networks. The discussion is carried under three basic statistical assumptions on the degree sequences: (i) a weak form of distributional homogeneity; (ii) the existence of an asymptotic (nodal) degree distribution; and (iii) a weak form of asymptotic uncorrelatedne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11064","kind":"arxiv","version":3},"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":"2026-05-18T00:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HBYY73TaO5vPbt4kWp7iS3Bbm/uYxSkr0UezOrO53aypPJQMP0GAD6GnYlQ/++F9DNJSiDPlJEewY2nCxh1SCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:09:53.630177Z"},"content_sha256":"c0be9731fa33dcd3607fa821b722b47dfea77ff6be79197fcd8eb5d54d889548","schema_version":"1.0","event_id":"sha256:c0be9731fa33dcd3607fa821b722b47dfea77ff6be79197fcd8eb5d54d889548"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVGDMISG76S5XUTEAB3XJXUPKI/bundle.json","state_url":"https://pith.science/pith/FVGDMISG76S5XUTEAB3XJXUPKI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVGDMISG76S5XUTEAB3XJXUPKI/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":"2026-05-30T01:09:53Z","links":{"resolver":"https://pith.science/pith/FVGDMISG76S5XUTEAB3XJXUPKI","bundle":"https://pith.science/pith/FVGDMISG76S5XUTEAB3XJXUPKI/bundle.json","state":"https://pith.science/pith/FVGDMISG76S5XUTEAB3XJXUPKI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVGDMISG76S5XUTEAB3XJXUPKI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FVGDMISG76S5XUTEAB3XJXUPKI","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":"d66943cdf0ae86748dea351086b1704debd4d4479f5dc73a3d261865902366dc","cross_cats_sorted":["cs.DM","math.PR","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-10-30T16:56:32Z","title_canon_sha256":"1d12783c570c5cd2d134349c7da6f73758d12c03d00ed64b063e706bd3fa0e03"},"schema_version":"1.0","source":{"id":"1710.11064","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11064","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11064v3","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11064","created_at":"2026-05-18T00:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"FVGDMISG76S5","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FVGDMISG76S5XUTE","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FVGDMISG","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:c0be9731fa33dcd3607fa821b722b47dfea77ff6be79197fcd8eb5d54d889548","target":"graph","created_at":"2026-05-18T00:01:00Z","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":"In random graph models, the degree distribution of an individual node should be distinguished from the (empirical) degree distribution of the graph that records the fractions of nodes with given degree. We introduce a general framework to explore when these two degree distributions coincide asymptotically in large homogeneous random networks. The discussion is carried under three basic statistical assumptions on the degree sequences: (i) a weak form of distributional homogeneity; (ii) the existence of an asymptotic (nodal) degree distribution; and (iii) a weak form of asymptotic uncorrelatedne","authors_text":"Armand M. Makowski, Siddharth Pal","cross_cats":["cs.DM","math.PR","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-10-30T16:56:32Z","title":"Asymptotic degree distributions in large (homogeneous) random networks: A little theory and a counterexample"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11064","kind":"arxiv","version":3},"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":"sha256:3261c0b860ba30677de943486e7acce36ccc79b63a158d40df7539b021b0e96e","target":"record","created_at":"2026-05-18T00:01:00Z","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":"d66943cdf0ae86748dea351086b1704debd4d4479f5dc73a3d261865902366dc","cross_cats_sorted":["cs.DM","math.PR","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-10-30T16:56:32Z","title_canon_sha256":"1d12783c570c5cd2d134349c7da6f73758d12c03d00ed64b063e706bd3fa0e03"},"schema_version":"1.0","source":{"id":"1710.11064","kind":"arxiv","version":3}},"canonical_sha256":"2d4c362246ffa5dbd264007774de8f522d1866357a1cdb0fc47250e6c7d93669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d4c362246ffa5dbd264007774de8f522d1866357a1cdb0fc47250e6c7d93669","first_computed_at":"2026-05-18T00:01:00.020613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:00.020613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lDOEWZUlsoWpsplF9yCX10XeOPLJ9rgjsKeRCxLNgziDcTjJPhMr96ePPGWjI+0GX9LxnvLr1MTKRO1LDLxjCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:00.021200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.11064","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3261c0b860ba30677de943486e7acce36ccc79b63a158d40df7539b021b0e96e","sha256:c0be9731fa33dcd3607fa821b722b47dfea77ff6be79197fcd8eb5d54d889548"],"state_sha256":"32e612a6048fe5d7431cfdbbd94838064a6fbf2bb2318395716a069264ccb4dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G/jY05n9PHdyn9gxbO9TeIl7XEk32Le7qjh7xRs9/7rhntSVIkTMqueL02uSqouVcepS8e7Uc0FUrQ2kj1HTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:09:53.632386Z","bundle_sha256":"0ea7f922b703dab0db0c04044080f952d5b64a18279e100ebb2d866b682bb2dd"}}