{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2SGN6MDT526PEUICCBVJ7GR6SW","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":"8a03fc2d80c11b4fd684e7ee0fb2930200910c999c7860d9b1a5f2543fa522fd","cross_cats_sorted":["cs.FL","cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-12-21T08:55:41Z","title_canon_sha256":"650f43f59f1badb2e1fbc13a1c30ca66d5edf9cd18cddf5a67f985fc7288a8d6"},"schema_version":"1.0","source":{"id":"1512.06532","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06532","created_at":"2026-05-18T01:24:00Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06532v1","created_at":"2026-05-18T01:24:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06532","created_at":"2026-05-18T01:24:00Z"},{"alias_kind":"pith_short_12","alias_value":"2SGN6MDT526P","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2SGN6MDT526PEUIC","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2SGN6MDT","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:e3cc67941ba6171a77a2712ca8ce3e1dae0ff3484383dd23968d58940f61ea47","target":"graph","created_at":"2026-05-18T01:24:00Z","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":"Multi-layer networks are networks in which several protocols may coexist at different layers. The Pseudo-Wire architecture provides encapsulation and de-capsulation functions of protocols over Packet-Switched Networks. In a multi-domain context, computing a path to support end-to-end services requires the consideration of encapsulation and decapsulation capabilities. It appears that graph models are not expressive enough to tackle this problem. In this paper, we propose a new model of heterogeneous networks using Automata Theory. A network is modeled as a Push-Down Automaton (PDA) which is abl","authors_text":"Dominique Barth (PRISM), H\\'elia Pouyllau, Mohamed Lamine Lamali","cross_cats":["cs.FL","cs.NI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-12-21T08:55:41Z","title":"Path computation in multi-layer multi-domain networks: A language theoretic approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06532","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":"sha256:2cf0f8cbda150df81b636d69078a953be9fd5f62762c7c0122f20f3af4bac4e3","target":"record","created_at":"2026-05-18T01:24:00Z","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":"8a03fc2d80c11b4fd684e7ee0fb2930200910c999c7860d9b1a5f2543fa522fd","cross_cats_sorted":["cs.FL","cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-12-21T08:55:41Z","title_canon_sha256":"650f43f59f1badb2e1fbc13a1c30ca66d5edf9cd18cddf5a67f985fc7288a8d6"},"schema_version":"1.0","source":{"id":"1512.06532","kind":"arxiv","version":1}},"canonical_sha256":"d48cdf3073eebcf25102106a9f9a3e95b04b5e0d64c6266acb10b93492a6f7de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d48cdf3073eebcf25102106a9f9a3e95b04b5e0d64c6266acb10b93492a6f7de","first_computed_at":"2026-05-18T01:24:00.290985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:00.290985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V6Fjb2kqoybAYOB/OD1ekEqN5pHL8SCr5k0+VZWjXLTYE8hzUhtLxcDJ9Rix9tSm1yx5RWddj+rX4hGv3VSnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:00.291747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06532","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cf0f8cbda150df81b636d69078a953be9fd5f62762c7c0122f20f3af4bac4e3","sha256:e3cc67941ba6171a77a2712ca8ce3e1dae0ff3484383dd23968d58940f61ea47"],"state_sha256":"974f913d4cfcb25e9280474da963b966c8c98d1667329dd88e3691cddd457c5d"}