{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:2AEPXCUPX75Q466YLT6BBIBW75","short_pith_number":"pith:2AEPXCUP","canonical_record":{"source":{"id":"1104.4933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-26T14:23:33Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"title_canon_sha256":"86b94ff5ea38d6ebdbbf642b9259ad46e8d2eca2e4683767397bd96264ba57cf","abstract_canon_sha256":"60e7a9e1f2e41cc6365dbf4b12d94d8829065f973d1b0e96a7376919a5610e78"},"schema_version":"1.0"},"canonical_sha256":"d008fb8a8fbffb0e7bd85cfc10a036ff77deb3098e9a3ac302c218f8d40e78d4","source":{"kind":"arxiv","id":"1104.4933","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4933","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4933v2","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4933","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"pith_short_12","alias_value":"2AEPXCUPX75Q","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2AEPXCUPX75Q466Y","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2AEPXCUP","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:2AEPXCUPX75Q466YLT6BBIBW75","target":"record","payload":{"canonical_record":{"source":{"id":"1104.4933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-26T14:23:33Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"title_canon_sha256":"86b94ff5ea38d6ebdbbf642b9259ad46e8d2eca2e4683767397bd96264ba57cf","abstract_canon_sha256":"60e7a9e1f2e41cc6365dbf4b12d94d8829065f973d1b0e96a7376919a5610e78"},"schema_version":"1.0"},"canonical_sha256":"d008fb8a8fbffb0e7bd85cfc10a036ff77deb3098e9a3ac302c218f8d40e78d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:22.697300Z","signature_b64":"oM1RXoTDWHjFLdPqTcBdB/dQhKNHf6FyC3e67pgdYwITGEELUW5g04OjU6zkLoi4vev//CFtd7u35cwz4OgeAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d008fb8a8fbffb0e7bd85cfc10a036ff77deb3098e9a3ac302c218f8d40e78d4","last_reissued_at":"2026-05-18T03:56:22.696681Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:22.696681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.4933","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":"2026-05-18T03:56:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w9gygmtvih+mU+PyAwVOFQ3SXYd5ouei8x8EtiOHlE9fn5HzczNS2IQyf7nGjh/zVzdggP7+fUKkooqOfdv+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:38:02.221248Z"},"content_sha256":"64768286766041f4878b2ac855ff71dd89f9514e02a5ab5c9b0efb79ca43ea76","schema_version":"1.0","event_id":"sha256:64768286766041f4878b2ac855ff71dd89f9514e02a5ab5c9b0efb79ca43ea76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:2AEPXCUPX75Q466YLT6BBIBW75","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isostaticity of Constraints in Jammed Systems of Soft Frictionless Platonic Solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Kyle C. Smith, Meheboob Alam, Timothy S. Fisher","submitted_at":"2011-04-26T14:23:33Z","abstract_excerpt":"The average number of constraints per particle $< C_{total} >$ in mechanically stable systems of Platonic solids (except cubes) approaches the isostatic limit at the jamming point ($< C_{total} > \\rightarrow 12$), though average number of contacts are hypostatic. By introducing angular alignment metrics to classify the degree of constraint imposed by each contact, constraints are shown to arise as a direct result of local orientational order reflected in edge-face and face-face alignment angle distributions. With approximately one face-face contact per particle at jamming chain-like face-face "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4933","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":"2026-05-18T03:56:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IalWjimo9m5DytmVyZLdStSfO3/jCjRzdOlUbOitbQT3D6GupsqDNvTKle2NHZsSQ83bCx8o2P/Y5d7AX3vTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:38:02.221614Z"},"content_sha256":"a7f9bf9e6a970c1c4d1fb0db0ca4ac1a3ebe0a3538b1e1ab3aa825f125109792","schema_version":"1.0","event_id":"sha256:a7f9bf9e6a970c1c4d1fb0db0ca4ac1a3ebe0a3538b1e1ab3aa825f125109792"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2AEPXCUPX75Q466YLT6BBIBW75/bundle.json","state_url":"https://pith.science/pith/2AEPXCUPX75Q466YLT6BBIBW75/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2AEPXCUPX75Q466YLT6BBIBW75/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":"2026-05-28T03:38:02Z","links":{"resolver":"https://pith.science/pith/2AEPXCUPX75Q466YLT6BBIBW75","bundle":"https://pith.science/pith/2AEPXCUPX75Q466YLT6BBIBW75/bundle.json","state":"https://pith.science/pith/2AEPXCUPX75Q466YLT6BBIBW75/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2AEPXCUPX75Q466YLT6BBIBW75/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2AEPXCUPX75Q466YLT6BBIBW75","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":"60e7a9e1f2e41cc6365dbf4b12d94d8829065f973d1b0e96a7376919a5610e78","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-26T14:23:33Z","title_canon_sha256":"86b94ff5ea38d6ebdbbf642b9259ad46e8d2eca2e4683767397bd96264ba57cf"},"schema_version":"1.0","source":{"id":"1104.4933","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4933","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4933v2","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4933","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"pith_short_12","alias_value":"2AEPXCUPX75Q","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2AEPXCUPX75Q466Y","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2AEPXCUP","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:a7f9bf9e6a970c1c4d1fb0db0ca4ac1a3ebe0a3538b1e1ab3aa825f125109792","target":"graph","created_at":"2026-05-18T03:56:22Z","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":"The average number of constraints per particle $< C_{total} >$ in mechanically stable systems of Platonic solids (except cubes) approaches the isostatic limit at the jamming point ($< C_{total} > \\rightarrow 12$), though average number of contacts are hypostatic. By introducing angular alignment metrics to classify the degree of constraint imposed by each contact, constraints are shown to arise as a direct result of local orientational order reflected in edge-face and face-face alignment angle distributions. With approximately one face-face contact per particle at jamming chain-like face-face ","authors_text":"Kyle C. Smith, Meheboob Alam, Timothy S. Fisher","cross_cats":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-26T14:23:33Z","title":"Isostaticity of Constraints in Jammed Systems of Soft Frictionless Platonic Solids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4933","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":"sha256:64768286766041f4878b2ac855ff71dd89f9514e02a5ab5c9b0efb79ca43ea76","target":"record","created_at":"2026-05-18T03:56:22Z","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":"60e7a9e1f2e41cc6365dbf4b12d94d8829065f973d1b0e96a7376919a5610e78","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-26T14:23:33Z","title_canon_sha256":"86b94ff5ea38d6ebdbbf642b9259ad46e8d2eca2e4683767397bd96264ba57cf"},"schema_version":"1.0","source":{"id":"1104.4933","kind":"arxiv","version":2}},"canonical_sha256":"d008fb8a8fbffb0e7bd85cfc10a036ff77deb3098e9a3ac302c218f8d40e78d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d008fb8a8fbffb0e7bd85cfc10a036ff77deb3098e9a3ac302c218f8d40e78d4","first_computed_at":"2026-05-18T03:56:22.696681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:22.696681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oM1RXoTDWHjFLdPqTcBdB/dQhKNHf6FyC3e67pgdYwITGEELUW5g04OjU6zkLoi4vev//CFtd7u35cwz4OgeAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:22.697300Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4933","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64768286766041f4878b2ac855ff71dd89f9514e02a5ab5c9b0efb79ca43ea76","sha256:a7f9bf9e6a970c1c4d1fb0db0ca4ac1a3ebe0a3538b1e1ab3aa825f125109792"],"state_sha256":"be3b7c3275273528ce34d50bf071e5f1b402c815d987e18c92aa6a9b85cff818"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8by0v1B8U/Dq6IZFO9UbAf9pSwdP51JWlK9SBw6FuQ1l/jfo5tHjavjRFVNskj8fcg/gcAgVDkEqCLYGhDP4Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:38:02.223611Z","bundle_sha256":"b1e3a74c4afd73c7f44caf3504d7a1a300f618eea61c3e64c99d94cf4799064f"}}