{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FJ3SM7CYHXCCHSS2JGJQNTCTZQ","short_pith_number":"pith:FJ3SM7CY","canonical_record":{"source":{"id":"2008.03831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2020-08-09T22:48:59Z","cross_cats_sorted":[],"title_canon_sha256":"d301717c6d8f8eb6a712bb370db52732891d3b6fe991ef209f6f49c71a019073","abstract_canon_sha256":"b04d45f8106a13d3678ba4c76e5c04d4b5d06d1336c3fa556e2e056884442da9"},"schema_version":"1.0"},"canonical_sha256":"2a77267c583dc423ca5a499306cc53cc33e015e24a0d6ee254a45a4ebace16a4","source":{"kind":"arxiv","id":"2008.03831","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.03831","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"2008.03831v2","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03831","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"FJ3SM7CYHXCC","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_16","alias_value":"FJ3SM7CYHXCCHSS2","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_8","alias_value":"FJ3SM7CY","created_at":"2026-07-05T01:57:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FJ3SM7CYHXCCHSS2JGJQNTCTZQ","target":"record","payload":{"canonical_record":{"source":{"id":"2008.03831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2020-08-09T22:48:59Z","cross_cats_sorted":[],"title_canon_sha256":"d301717c6d8f8eb6a712bb370db52732891d3b6fe991ef209f6f49c71a019073","abstract_canon_sha256":"b04d45f8106a13d3678ba4c76e5c04d4b5d06d1336c3fa556e2e056884442da9"},"schema_version":"1.0"},"canonical_sha256":"2a77267c583dc423ca5a499306cc53cc33e015e24a0d6ee254a45a4ebace16a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:57:19.195593Z","signature_b64":"F3bLAjoJGwCYdecAHy6ZIkzn2p6lP4tngEp3l5pvJQRXzd0yD0nEcsrqy91TuSagrwoMoFSvBDdStbIrKIEDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a77267c583dc423ca5a499306cc53cc33e015e24a0d6ee254a45a4ebace16a4","last_reissued_at":"2026-07-05T01:57:19.195183Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:57:19.195183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.03831","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":"2026-07-05T01:57:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/3rK5ulvBF3AWC+GNqhkzDB5WEAdSPQgLZ+PhZtstA+lR55nyLDtlQdG83EcD7RvN8kKjO15k24KNZ6beV+tAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T03:46:44.724096Z"},"content_sha256":"9f9f8d7c4a7c3e83fcaa48c2adb7a00e52b92a53bbdc2f30e3f9fcc515662eac","schema_version":"1.0","event_id":"sha256:9f9f8d7c4a7c3e83fcaa48c2adb7a00e52b92a53bbdc2f30e3f9fcc515662eac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FJ3SM7CYHXCCHSS2JGJQNTCTZQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Random Growth Model with any Real or Theoretical Degree Distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SI","authors_text":"Fr\\'ed\\'eric Giroire, St\\'ephane P\\'erennes, Thibaud Trolliet","submitted_at":"2020-08-09T22:48:59Z","abstract_excerpt":"The degree distributions of complex networks are usually considered to be power law. However, it is not the case for a large number of them. We thus propose a new model able to build random growing networks with (almost) any wanted degree distribution. The degree distribution can either be theoretical or extracted from a real-world network. The main idea is to invert the recurrence equation commonly used to compute the degree distribution in order to find a convenient attachment function for node connections - commonly chosen as linear. We compute this attachment function for some classical di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03831","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.03831/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:57:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gYCiHovBmtT7VF0jKY9+VbFoQypvrn6KHLe3BVWQ7WAMQndA26O+KFWl81E3JU1I+FqHRo8KmKrXl7aLZBPcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T03:46:44.724747Z"},"content_sha256":"cadd5d86e6fc2c8d45f9459feffeae394fef249eb3c9fae38c5014bd526f00f4","schema_version":"1.0","event_id":"sha256:cadd5d86e6fc2c8d45f9459feffeae394fef249eb3c9fae38c5014bd526f00f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJ3SM7CYHXCCHSS2JGJQNTCTZQ/bundle.json","state_url":"https://pith.science/pith/FJ3SM7CYHXCCHSS2JGJQNTCTZQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJ3SM7CYHXCCHSS2JGJQNTCTZQ/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":"2026-08-18T03:46:44Z","links":{"resolver":"https://pith.science/pith/FJ3SM7CYHXCCHSS2JGJQNTCTZQ","bundle":"https://pith.science/pith/FJ3SM7CYHXCCHSS2JGJQNTCTZQ/bundle.json","state":"https://pith.science/pith/FJ3SM7CYHXCCHSS2JGJQNTCTZQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJ3SM7CYHXCCHSS2JGJQNTCTZQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FJ3SM7CYHXCCHSS2JGJQNTCTZQ","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":"b04d45f8106a13d3678ba4c76e5c04d4b5d06d1336c3fa556e2e056884442da9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2020-08-09T22:48:59Z","title_canon_sha256":"d301717c6d8f8eb6a712bb370db52732891d3b6fe991ef209f6f49c71a019073"},"schema_version":"1.0","source":{"id":"2008.03831","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.03831","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"2008.03831v2","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03831","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"FJ3SM7CYHXCC","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_16","alias_value":"FJ3SM7CYHXCCHSS2","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_8","alias_value":"FJ3SM7CY","created_at":"2026-07-05T01:57:19Z"}],"graph_snapshots":[{"event_id":"sha256:cadd5d86e6fc2c8d45f9459feffeae394fef249eb3c9fae38c5014bd526f00f4","target":"graph","created_at":"2026-07-05T01:57:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.03831/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The degree distributions of complex networks are usually considered to be power law. However, it is not the case for a large number of them. We thus propose a new model able to build random growing networks with (almost) any wanted degree distribution. The degree distribution can either be theoretical or extracted from a real-world network. The main idea is to invert the recurrence equation commonly used to compute the degree distribution in order to find a convenient attachment function for node connections - commonly chosen as linear. We compute this attachment function for some classical di","authors_text":"Fr\\'ed\\'eric Giroire, St\\'ephane P\\'erennes, Thibaud Trolliet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2020-08-09T22:48:59Z","title":"A Random Growth Model with any Real or Theoretical Degree Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03831","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":"sha256:9f9f8d7c4a7c3e83fcaa48c2adb7a00e52b92a53bbdc2f30e3f9fcc515662eac","target":"record","created_at":"2026-07-05T01:57:19Z","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":"b04d45f8106a13d3678ba4c76e5c04d4b5d06d1336c3fa556e2e056884442da9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2020-08-09T22:48:59Z","title_canon_sha256":"d301717c6d8f8eb6a712bb370db52732891d3b6fe991ef209f6f49c71a019073"},"schema_version":"1.0","source":{"id":"2008.03831","kind":"arxiv","version":2}},"canonical_sha256":"2a77267c583dc423ca5a499306cc53cc33e015e24a0d6ee254a45a4ebace16a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a77267c583dc423ca5a499306cc53cc33e015e24a0d6ee254a45a4ebace16a4","first_computed_at":"2026-07-05T01:57:19.195183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:57:19.195183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F3bLAjoJGwCYdecAHy6ZIkzn2p6lP4tngEp3l5pvJQRXzd0yD0nEcsrqy91TuSagrwoMoFSvBDdStbIrKIEDBw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:57:19.195593Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.03831","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f9f8d7c4a7c3e83fcaa48c2adb7a00e52b92a53bbdc2f30e3f9fcc515662eac","sha256:cadd5d86e6fc2c8d45f9459feffeae394fef249eb3c9fae38c5014bd526f00f4"],"state_sha256":"f019bdd9d6a51def602c4f0bd741d2b078672c76cfb95125823bb1f0ddf9256e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5mMpajLp7zDKzmpth7YqXIBXpHiATb/XGavOaYU+slD6CBHHXPDzyXvn9zN1NNU6FclhzgR986ZcxMOgwwNaAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T03:46:44.729456Z","bundle_sha256":"1b2162a9c3203fd28b644db6fc25e5581ee8d4a6276372ebed51e96c1668f307"}}