{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2DHYDUOHT4YZHHRIP4SZULK755","short_pith_number":"pith:2DHYDUOH","canonical_record":{"source":{"id":"1708.01675","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-04T22:26:33Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"9c4b2fd55fb85b73b9080d092c77e13cb25b80d751f27f5428d4996dddae68ed","abstract_canon_sha256":"101b32ca464237715e9ad3213542ae5763de409e6353afcf7d64047fc4975495"},"schema_version":"1.0"},"canonical_sha256":"d0cf81d1c79f31939e287f259a2d5fef7f00c42a433fac31c0b0219a167603b8","source":{"kind":"arxiv","id":"1708.01675","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01675","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01675v2","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01675","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"pith_short_12","alias_value":"2DHYDUOHT4YZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2DHYDUOHT4YZHHRI","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2DHYDUOH","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2DHYDUOHT4YZHHRIP4SZULK755","target":"record","payload":{"canonical_record":{"source":{"id":"1708.01675","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-04T22:26:33Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"9c4b2fd55fb85b73b9080d092c77e13cb25b80d751f27f5428d4996dddae68ed","abstract_canon_sha256":"101b32ca464237715e9ad3213542ae5763de409e6353afcf7d64047fc4975495"},"schema_version":"1.0"},"canonical_sha256":"d0cf81d1c79f31939e287f259a2d5fef7f00c42a433fac31c0b0219a167603b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:36.928482Z","signature_b64":"WQG+RBrraIZAEJhkidX8aUCa+UzVCo0w42OW5vqTc5hOuYrKtNm41lAwlzh0T/1qGoTDKLE+fP+SWY0JqAzIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0cf81d1c79f31939e287f259a2d5fef7f00c42a433fac31c0b0219a167603b8","last_reissued_at":"2026-05-18T00:29:36.927862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:36.927862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.01675","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":"2026-05-18T00:29:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jta5uDJ0nsmmk39NXzHTJO2i4tQjgVVbSzsICH9NjM1YaTZJSi93YQwnq2o08BNgYubTy21I61Z1JJAYpzn4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:41:38.494988Z"},"content_sha256":"266327e61faa371b73c1f55ab47ab185aab7bb6cb6cc51956d3aff618ab01056","schema_version":"1.0","event_id":"sha256:266327e61faa371b73c1f55ab47ab185aab7bb6cb6cc51956d3aff618ab01056"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2DHYDUOHT4YZHHRIP4SZULK755","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simple root flows for Hitchin representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DG","authors_text":"Andres Sambarino, Fran\\c{c}ois Labourie, Martin Bridgeman, Richard Canary","submitted_at":"2017-08-04T22:26:33Z","abstract_excerpt":"We study simple root flows and Liouville currents for Hitchin representations. We show that the Liouville current is associated to the measure of maximal entropy for a simple root flow, derive a Liouville volume rigidity result, and construct a Liouville pressure metric on the Hitchin component."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01675","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":"2026-05-18T00:29:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZGCkaCGc10gqQMU4x4DwD53dHukNOx1VgzSlOj0UXZK9SvCj02GSyWZpytyZAL+nP0+UQCZ+SVi6ilN+Of1GBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:41:38.495531Z"},"content_sha256":"731318b3f865a8ec4d83ef06314629df2b66324607851e3c6943a73da2cdcc2a","schema_version":"1.0","event_id":"sha256:731318b3f865a8ec4d83ef06314629df2b66324607851e3c6943a73da2cdcc2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2DHYDUOHT4YZHHRIP4SZULK755/bundle.json","state_url":"https://pith.science/pith/2DHYDUOHT4YZHHRIP4SZULK755/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2DHYDUOHT4YZHHRIP4SZULK755/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":"2026-05-26T23:41:38Z","links":{"resolver":"https://pith.science/pith/2DHYDUOHT4YZHHRIP4SZULK755","bundle":"https://pith.science/pith/2DHYDUOHT4YZHHRIP4SZULK755/bundle.json","state":"https://pith.science/pith/2DHYDUOHT4YZHHRIP4SZULK755/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2DHYDUOHT4YZHHRIP4SZULK755/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2DHYDUOHT4YZHHRIP4SZULK755","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":"101b32ca464237715e9ad3213542ae5763de409e6353afcf7d64047fc4975495","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-04T22:26:33Z","title_canon_sha256":"9c4b2fd55fb85b73b9080d092c77e13cb25b80d751f27f5428d4996dddae68ed"},"schema_version":"1.0","source":{"id":"1708.01675","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01675","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01675v2","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01675","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"pith_short_12","alias_value":"2DHYDUOHT4YZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2DHYDUOHT4YZHHRI","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2DHYDUOH","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:731318b3f865a8ec4d83ef06314629df2b66324607851e3c6943a73da2cdcc2a","target":"graph","created_at":"2026-05-18T00:29:36Z","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 study simple root flows and Liouville currents for Hitchin representations. We show that the Liouville current is associated to the measure of maximal entropy for a simple root flow, derive a Liouville volume rigidity result, and construct a Liouville pressure metric on the Hitchin component.","authors_text":"Andres Sambarino, Fran\\c{c}ois Labourie, Martin Bridgeman, Richard Canary","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-04T22:26:33Z","title":"Simple root flows for Hitchin representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01675","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":"sha256:266327e61faa371b73c1f55ab47ab185aab7bb6cb6cc51956d3aff618ab01056","target":"record","created_at":"2026-05-18T00:29:36Z","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":"101b32ca464237715e9ad3213542ae5763de409e6353afcf7d64047fc4975495","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-04T22:26:33Z","title_canon_sha256":"9c4b2fd55fb85b73b9080d092c77e13cb25b80d751f27f5428d4996dddae68ed"},"schema_version":"1.0","source":{"id":"1708.01675","kind":"arxiv","version":2}},"canonical_sha256":"d0cf81d1c79f31939e287f259a2d5fef7f00c42a433fac31c0b0219a167603b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0cf81d1c79f31939e287f259a2d5fef7f00c42a433fac31c0b0219a167603b8","first_computed_at":"2026-05-18T00:29:36.927862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:36.927862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WQG+RBrraIZAEJhkidX8aUCa+UzVCo0w42OW5vqTc5hOuYrKtNm41lAwlzh0T/1qGoTDKLE+fP+SWY0JqAzIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:36.928482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01675","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:266327e61faa371b73c1f55ab47ab185aab7bb6cb6cc51956d3aff618ab01056","sha256:731318b3f865a8ec4d83ef06314629df2b66324607851e3c6943a73da2cdcc2a"],"state_sha256":"a6e30eaa53dcab7bbc1843d34473435494cde2651da9d1ca2609d641fc407a08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LfqVLi76XZdK6nWmBnQvZljh36zmZdCCzN3XKrEqC4TgXeI4jfgwFetOQlKcu9K5ZRqbWWW2f+VZeRfj8GbSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:41:38.498509Z","bundle_sha256":"cdb196f203ef42259b9f6563fd9d48980d849c6ea77ca9d5dc21bf8d32586af8"}}