{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Z4VRT3UIY45Q3IVETCAASF6ADZ","short_pith_number":"pith:Z4VRT3UI","canonical_record":{"source":{"id":"1201.1993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-10T09:12:46Z","cross_cats_sorted":[],"title_canon_sha256":"9016c118a26d1c49d0b94150a30b70a44a1ae2570df774148a728db1766b24da","abstract_canon_sha256":"eec9705d8e01098efa6bc00405cbfae1c1a0e9ed2672fee00b79e2369fb505a2"},"schema_version":"1.0"},"canonical_sha256":"cf2b19ee88c73b0da2a498800917c01e40701ab9f0e2f38d779d1637eea1bae2","source":{"kind":"arxiv","id":"1201.1993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1993","created_at":"2026-05-18T01:58:53Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1993v1","created_at":"2026-05-18T01:58:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1993","created_at":"2026-05-18T01:58:53Z"},{"alias_kind":"pith_short_12","alias_value":"Z4VRT3UIY45Q","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z4VRT3UIY45Q3IVE","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z4VRT3UI","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Z4VRT3UIY45Q3IVETCAASF6ADZ","target":"record","payload":{"canonical_record":{"source":{"id":"1201.1993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-10T09:12:46Z","cross_cats_sorted":[],"title_canon_sha256":"9016c118a26d1c49d0b94150a30b70a44a1ae2570df774148a728db1766b24da","abstract_canon_sha256":"eec9705d8e01098efa6bc00405cbfae1c1a0e9ed2672fee00b79e2369fb505a2"},"schema_version":"1.0"},"canonical_sha256":"cf2b19ee88c73b0da2a498800917c01e40701ab9f0e2f38d779d1637eea1bae2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:53.546597Z","signature_b64":"/TsvEl+jJm17isCinYb7fK1xEjiBwkSRk5J4MMYqGoQwRMicZrd9319buEPIl/CZxkJB37AnnKlWDCC1MOtEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf2b19ee88c73b0da2a498800917c01e40701ab9f0e2f38d779d1637eea1bae2","last_reissued_at":"2026-05-18T01:58:53.545880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:53.545880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.1993","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":"2026-05-18T01:58:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UnBiPcxqnozP3BhYEMsMYBWpbpinScMuvQo5ot2cK/yFIXlNXCYYUPnbg9joXmi8FVoDXZoHorK2RJzZWhIVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:03:47.169410Z"},"content_sha256":"ba5dcacaeaec27dad38afbf152bc88e0273c07d52ab040334ffd8c85e4a22406","schema_version":"1.0","event_id":"sha256:ba5dcacaeaec27dad38afbf152bc88e0273c07d52ab040334ffd8c85e4a22406"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Z4VRT3UIY45Q3IVETCAASF6ADZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Percolation analysis of force networks in anisotropic granular matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M.-Carmen Miguel, Romualdo Pastor-Satorras","submitted_at":"2012-01-10T09:12:46Z","abstract_excerpt":"We study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al. [Nature 439, 828 (2006)], we consider a percolation process in which forces smaller than a given threshold f are deleted in the network. For a critical threshold f_c, the system experiences a transition akin to percolation. We determine the point of this transition and its characteristic critical exponents applying a finite-size scaling analysis that takes explicitly into account the directed nature of the q-model. By means "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1993","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":"2026-05-18T01:58:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aoKJEuVYBc+/zpRzw13vldLtmldobqPhUB7m4IkslzYFVxps+A6fPAedw7PAMSKMAI+L9crLz74V7U3CtLDMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:03:47.169763Z"},"content_sha256":"32654817f021e24bb557edcf48f94b5c3e5e9848af65adc486e76552eae419c1","schema_version":"1.0","event_id":"sha256:32654817f021e24bb557edcf48f94b5c3e5e9848af65adc486e76552eae419c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z4VRT3UIY45Q3IVETCAASF6ADZ/bundle.json","state_url":"https://pith.science/pith/Z4VRT3UIY45Q3IVETCAASF6ADZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z4VRT3UIY45Q3IVETCAASF6ADZ/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":"2026-06-02T12:03:47Z","links":{"resolver":"https://pith.science/pith/Z4VRT3UIY45Q3IVETCAASF6ADZ","bundle":"https://pith.science/pith/Z4VRT3UIY45Q3IVETCAASF6ADZ/bundle.json","state":"https://pith.science/pith/Z4VRT3UIY45Q3IVETCAASF6ADZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z4VRT3UIY45Q3IVETCAASF6ADZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Z4VRT3UIY45Q3IVETCAASF6ADZ","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":"eec9705d8e01098efa6bc00405cbfae1c1a0e9ed2672fee00b79e2369fb505a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-10T09:12:46Z","title_canon_sha256":"9016c118a26d1c49d0b94150a30b70a44a1ae2570df774148a728db1766b24da"},"schema_version":"1.0","source":{"id":"1201.1993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1993","created_at":"2026-05-18T01:58:53Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1993v1","created_at":"2026-05-18T01:58:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1993","created_at":"2026-05-18T01:58:53Z"},{"alias_kind":"pith_short_12","alias_value":"Z4VRT3UIY45Q","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z4VRT3UIY45Q3IVE","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z4VRT3UI","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:32654817f021e24bb557edcf48f94b5c3e5e9848af65adc486e76552eae419c1","target":"graph","created_at":"2026-05-18T01:58:53Z","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 the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al. [Nature 439, 828 (2006)], we consider a percolation process in which forces smaller than a given threshold f are deleted in the network. For a critical threshold f_c, the system experiences a transition akin to percolation. We determine the point of this transition and its characteristic critical exponents applying a finite-size scaling analysis that takes explicitly into account the directed nature of the q-model. By means ","authors_text":"M.-Carmen Miguel, Romualdo Pastor-Satorras","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-10T09:12:46Z","title":"Percolation analysis of force networks in anisotropic granular matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1993","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:ba5dcacaeaec27dad38afbf152bc88e0273c07d52ab040334ffd8c85e4a22406","target":"record","created_at":"2026-05-18T01:58:53Z","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":"eec9705d8e01098efa6bc00405cbfae1c1a0e9ed2672fee00b79e2369fb505a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-10T09:12:46Z","title_canon_sha256":"9016c118a26d1c49d0b94150a30b70a44a1ae2570df774148a728db1766b24da"},"schema_version":"1.0","source":{"id":"1201.1993","kind":"arxiv","version":1}},"canonical_sha256":"cf2b19ee88c73b0da2a498800917c01e40701ab9f0e2f38d779d1637eea1bae2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf2b19ee88c73b0da2a498800917c01e40701ab9f0e2f38d779d1637eea1bae2","first_computed_at":"2026-05-18T01:58:53.545880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:53.545880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/TsvEl+jJm17isCinYb7fK1xEjiBwkSRk5J4MMYqGoQwRMicZrd9319buEPIl/CZxkJB37AnnKlWDCC1MOtEAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:53.546597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba5dcacaeaec27dad38afbf152bc88e0273c07d52ab040334ffd8c85e4a22406","sha256:32654817f021e24bb557edcf48f94b5c3e5e9848af65adc486e76552eae419c1"],"state_sha256":"42214005ac6908831b4e0b1686d7fcb9f0339a2b1c63e175dc1f904184bf5992"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKiaGmT8ohSrQQCfC86KqGE9WJFlqjyc4KjCHWULng9GQFVO0X065M3Vp8bLBRGhCQVisgbaSjs7E5hU74P/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T12:03:47.171750Z","bundle_sha256":"6bc39d30498ecc21f34057d4181766278cc822b777d85ba8f49d3e939c0254a3"}}