{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SV5RG3WIN7FIN5KVBTO4RZRLEE","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":"ef05ca3c36abf25c65af4afb63959c1364d1f41cd9611742a137ef37e9845a18","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-17T11:03:46Z","title_canon_sha256":"223b5d91ff258c3a93b2f30ae38ea9da80167f1157a1aab888ccca30bb407d9a"},"schema_version":"1.0","source":{"id":"1606.05475","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05475","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05475v3","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05475","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"SV5RG3WIN7FI","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SV5RG3WIN7FIN5KV","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SV5RG3WI","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:ad7317335ce936436c35939792cd57a6dbf5af571885bc82a16fd5c3f00bff10","target":"graph","created_at":"2026-05-18T00:18:36Z","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 give another proof, using tools from Geometric Invariant Theory, of a result due to S. Sam and A. Snowden in 2014, concerning the stability of Kro-necker coefficients. This result states that some sequences of Kronecker coefficients eventually stabilise, and our method gives a nice geometric bound from which the stabilisation occurs. We perform the explicit computation of such a bound on two examples, one being the classical case of Murnaghan's stability. Moreover, we see that our techniques apply to other coefficients arising in Representation Theory: namely to some plethysm coefficients a","authors_text":"Maxime Pelletier (ICJ, UCBL)","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-17T11:03:46Z","title":"A Geometric Approach to the stabilisation of certain sequences of Kronecker coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05475","kind":"arxiv","version":3},"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":"sha256:6a2944b3e7ce881df99e23a578ea6f49248c271c0c4547fbfc69175eb3c8a61a","target":"record","created_at":"2026-05-18T00:18:36Z","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":"ef05ca3c36abf25c65af4afb63959c1364d1f41cd9611742a137ef37e9845a18","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-17T11:03:46Z","title_canon_sha256":"223b5d91ff258c3a93b2f30ae38ea9da80167f1157a1aab888ccca30bb407d9a"},"schema_version":"1.0","source":{"id":"1606.05475","kind":"arxiv","version":3}},"canonical_sha256":"957b136ec86fca86f5550cddc8e62b2125b1b71ca770c5f2bc58242caace6722","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"957b136ec86fca86f5550cddc8e62b2125b1b71ca770c5f2bc58242caace6722","first_computed_at":"2026-05-18T00:18:36.413479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:36.413479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ealy64mgfkdiuSABDWzqKfIfirznTpPomch+fsQBgpbgsO/4CkWBw6KuYTGOede9rguFyJBV5pfzJP8ogfmyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:36.413970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05475","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a2944b3e7ce881df99e23a578ea6f49248c271c0c4547fbfc69175eb3c8a61a","sha256:ad7317335ce936436c35939792cd57a6dbf5af571885bc82a16fd5c3f00bff10"],"state_sha256":"12f4f9ffb2ece1a90f05726a0d98c48681a569c0851fc5ca6289cf855c4c7e7c"}