{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6YD2CMMU5AKUOPM6LVSDLHUUDO","short_pith_number":"pith:6YD2CMMU","canonical_record":{"source":{"id":"1608.08192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T19:43:16Z","cross_cats_sorted":[],"title_canon_sha256":"892b30f2155f2db89db8b27acb4176ae6288c242f99e59da90052561b6421c75","abstract_canon_sha256":"9dbfa077271c91d0c34b8bd360fd6e6c3bdd787872303c8759745f3581aefc8e"},"schema_version":"1.0"},"canonical_sha256":"f607a13194e815473d9e5d64359e941b8ec76fc8fcaab2cd9cccc22c116af5b5","source":{"kind":"arxiv","id":"1608.08192","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08192","created_at":"2026-05-18T00:38:47Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08192v1","created_at":"2026-05-18T00:38:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08192","created_at":"2026-05-18T00:38:47Z"},{"alias_kind":"pith_short_12","alias_value":"6YD2CMMU5AKU","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6YD2CMMU5AKUOPM6","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6YD2CMMU","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6YD2CMMU5AKUOPM6LVSDLHUUDO","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T19:43:16Z","cross_cats_sorted":[],"title_canon_sha256":"892b30f2155f2db89db8b27acb4176ae6288c242f99e59da90052561b6421c75","abstract_canon_sha256":"9dbfa077271c91d0c34b8bd360fd6e6c3bdd787872303c8759745f3581aefc8e"},"schema_version":"1.0"},"canonical_sha256":"f607a13194e815473d9e5d64359e941b8ec76fc8fcaab2cd9cccc22c116af5b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:47.202833Z","signature_b64":"E0pOBzEXmyFgWUoiwckSybOP/MDHw22rkJGx/PYvdowpC6OlCX8dscyVwnNMET9w6pva5kngHiLoC14N1ZAWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f607a13194e815473d9e5d64359e941b8ec76fc8fcaab2cd9cccc22c116af5b5","last_reissued_at":"2026-05-18T00:38:47.201944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:47.201944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08192","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":"2026-05-18T00:38:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rAapOjJ7Waob4AuXCtX/8dgeAfMGcNpAENZHpZQ5+RDaOqWQaXNUkcy5JSof3sMJSyFRNoMVqn7UT+NnbrJKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:33:14.036327Z"},"content_sha256":"8bd4279fb98c9458914436739d3717c2f2560764e0b7314c7c1d41ac7631c75a","schema_version":"1.0","event_id":"sha256:8bd4279fb98c9458914436739d3717c2f2560764e0b7314c7c1d41ac7631c75a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6YD2CMMU5AKUOPM6LVSDLHUUDO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-fractal Geometry of Finite Networks of Spins","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Edmond Jonckheere, Paul Bogdan, Sophie Schirmer","submitted_at":"2016-08-29T19:43:16Z","abstract_excerpt":"Quantum spin networks overcome the challenges of traditional charge-based electronics by encoding the information into spin degrees of freedom. Although beneficial for transmitting information with minimal losses when compared to their charge-based counterparts, the mathematical formalization of the information propagation in a spin(tronic) network is challenging due to its complicated scaling properties. In this paper, we propose a geometric approach---specific to finite networks---for unraveling the information-theoretic phenomena of spin chains and rings by abstracting them as weighted grap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08192","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":"2026-05-18T00:38:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OOIuszrzbh7TvTAuKndxT3mYKKeews+1r5UgVsG7UbsSBxbu4B+obSzrJ2bM8y1at5R5/5Zi4DY5/oyfsSWoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:33:14.037076Z"},"content_sha256":"8dcd4ba100d54e6547047f68c6de3153a5625a19a77c6e211573a24cb1f19ee0","schema_version":"1.0","event_id":"sha256:8dcd4ba100d54e6547047f68c6de3153a5625a19a77c6e211573a24cb1f19ee0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6YD2CMMU5AKUOPM6LVSDLHUUDO/bundle.json","state_url":"https://pith.science/pith/6YD2CMMU5AKUOPM6LVSDLHUUDO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6YD2CMMU5AKUOPM6LVSDLHUUDO/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":"2026-06-08T19:33:14Z","links":{"resolver":"https://pith.science/pith/6YD2CMMU5AKUOPM6LVSDLHUUDO","bundle":"https://pith.science/pith/6YD2CMMU5AKUOPM6LVSDLHUUDO/bundle.json","state":"https://pith.science/pith/6YD2CMMU5AKUOPM6LVSDLHUUDO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6YD2CMMU5AKUOPM6LVSDLHUUDO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6YD2CMMU5AKUOPM6LVSDLHUUDO","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":"9dbfa077271c91d0c34b8bd360fd6e6c3bdd787872303c8759745f3581aefc8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T19:43:16Z","title_canon_sha256":"892b30f2155f2db89db8b27acb4176ae6288c242f99e59da90052561b6421c75"},"schema_version":"1.0","source":{"id":"1608.08192","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08192","created_at":"2026-05-18T00:38:47Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08192v1","created_at":"2026-05-18T00:38:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08192","created_at":"2026-05-18T00:38:47Z"},{"alias_kind":"pith_short_12","alias_value":"6YD2CMMU5AKU","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6YD2CMMU5AKUOPM6","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6YD2CMMU","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:8dcd4ba100d54e6547047f68c6de3153a5625a19a77c6e211573a24cb1f19ee0","target":"graph","created_at":"2026-05-18T00:38:47Z","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":"Quantum spin networks overcome the challenges of traditional charge-based electronics by encoding the information into spin degrees of freedom. Although beneficial for transmitting information with minimal losses when compared to their charge-based counterparts, the mathematical formalization of the information propagation in a spin(tronic) network is challenging due to its complicated scaling properties. In this paper, we propose a geometric approach---specific to finite networks---for unraveling the information-theoretic phenomena of spin chains and rings by abstracting them as weighted grap","authors_text":"Edmond Jonckheere, Paul Bogdan, Sophie Schirmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T19:43:16Z","title":"Multi-fractal Geometry of Finite Networks of Spins"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08192","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":"sha256:8bd4279fb98c9458914436739d3717c2f2560764e0b7314c7c1d41ac7631c75a","target":"record","created_at":"2026-05-18T00:38:47Z","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":"9dbfa077271c91d0c34b8bd360fd6e6c3bdd787872303c8759745f3581aefc8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T19:43:16Z","title_canon_sha256":"892b30f2155f2db89db8b27acb4176ae6288c242f99e59da90052561b6421c75"},"schema_version":"1.0","source":{"id":"1608.08192","kind":"arxiv","version":1}},"canonical_sha256":"f607a13194e815473d9e5d64359e941b8ec76fc8fcaab2cd9cccc22c116af5b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f607a13194e815473d9e5d64359e941b8ec76fc8fcaab2cd9cccc22c116af5b5","first_computed_at":"2026-05-18T00:38:47.201944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:47.201944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E0pOBzEXmyFgWUoiwckSybOP/MDHw22rkJGx/PYvdowpC6OlCX8dscyVwnNMET9w6pva5kngHiLoC14N1ZAWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:47.202833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08192","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bd4279fb98c9458914436739d3717c2f2560764e0b7314c7c1d41ac7631c75a","sha256:8dcd4ba100d54e6547047f68c6de3153a5625a19a77c6e211573a24cb1f19ee0"],"state_sha256":"0585647b8c5cf550eb35c4664aef144a563fb0cc67aa953d1ec4ce85b4e7e8ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"616Nx1kdXe/FTI/ZpvRVgl+SV3Ls6JzhxLpNcsjIiy1/sgw/6mDnfik5X81XJtrTgd13YgB0qHaaaaaGGziqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:33:14.040875Z","bundle_sha256":"450075a7a069df0849a25ca6e4caee5def98e798794d110e2fa76694a9c3a967"}}