{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:FTNJWAW3WFTEJ3R6HIOKW7EXEP","short_pith_number":"pith:FTNJWAW3","canonical_record":{"source":{"id":"hep-th/9612090","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-12-09T10:39:42Z","cross_cats_sorted":[],"title_canon_sha256":"5f41c555247cd7f43dd407f735091dadd4dc76a63fd0fb6f0b89dd943cdf33f3","abstract_canon_sha256":"579bfdff3e44318828cbcbdf9a602011d182f2aa51cbc5bde9078e09c835fd7e"},"schema_version":"1.0"},"canonical_sha256":"2cda9b02dbb16644ee3e3a1cab7c9723f8f3ece662d1af3a71f152f0f5e3e713","source":{"kind":"arxiv","id":"hep-th/9612090","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9612090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9612090v1","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9612090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"FTNJWAW3WFTE","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"FTNJWAW3WFTEJ3R6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"FTNJWAW3","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:FTNJWAW3WFTEJ3R6HIOKW7EXEP","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9612090","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-12-09T10:39:42Z","cross_cats_sorted":[],"title_canon_sha256":"5f41c555247cd7f43dd407f735091dadd4dc76a63fd0fb6f0b89dd943cdf33f3","abstract_canon_sha256":"579bfdff3e44318828cbcbdf9a602011d182f2aa51cbc5bde9078e09c835fd7e"},"schema_version":"1.0"},"canonical_sha256":"2cda9b02dbb16644ee3e3a1cab7c9723f8f3ece662d1af3a71f152f0f5e3e713","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:56.402181Z","signature_b64":"pH+/kmNCb/hI4/9Gymojft/QoNVH57R/ihCtIhMHCNtAhHnJq5cCLJpQ4DpMwCo5er42wy7QBhGcofnwy1FMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cda9b02dbb16644ee3e3a1cab7c9723f8f3ece662d1af3a71f152f0f5e3e713","last_reissued_at":"2026-05-18T01:05:56.401751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:56.401751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9612090","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":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5LnaCUhSWgjISkwJEsQgfP27I31TdooSoLHJlhCy06kyf5r+nuJ8Sc4NmeJwsCKNT+TBD9HkCtn0CF2xic7sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:39:43.145240Z"},"content_sha256":"95ef327783e30c3514101536b2381e199c64f8e663cd0f9c413628842016cf83","schema_version":"1.0","event_id":"sha256:95ef327783e30c3514101536b2381e199c64f8e663cd0f9c413628842016cf83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:FTNJWAW3WFTEJ3R6HIOKW7EXEP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-manifold invariants and their relation with the fundamental group","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Guadagnini, L. Pilo","submitted_at":"1996-12-09T10:39:42Z","abstract_excerpt":"We consider the 3-manifold invariant I(M) which is defined by means of the Chern-Simons quantum field theory and which coincides with the Reshetikhin-Turaev invariant. We present some arguments and numerical results supporting the conjecture that, for nonvanishing I(M), the absolute value | I(M) | only depends on the fundamental group \\pi_1 (M) of the manifold M. For lens spaces, the conjecture is proved when the gauge group is SU(2). In the case in which the gauge group is SU(3), we present numerical computations confirming the conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9612090","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":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uVxMgkYNG7ZlTUQ8udUB5iqTZGhyTOL2M21DyqkFbiPXnKnPL0meQ+CmUErWDnYYa2GofF7PVGZagAB6ENejBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:39:43.145599Z"},"content_sha256":"9e7d5cd23d0313f2a35ec3941d2cb55de056a60ad70ee11e1cc463ac13d2c754","schema_version":"1.0","event_id":"sha256:9e7d5cd23d0313f2a35ec3941d2cb55de056a60ad70ee11e1cc463ac13d2c754"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTNJWAW3WFTEJ3R6HIOKW7EXEP/bundle.json","state_url":"https://pith.science/pith/FTNJWAW3WFTEJ3R6HIOKW7EXEP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTNJWAW3WFTEJ3R6HIOKW7EXEP/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":"2026-06-29T09:39:43Z","links":{"resolver":"https://pith.science/pith/FTNJWAW3WFTEJ3R6HIOKW7EXEP","bundle":"https://pith.science/pith/FTNJWAW3WFTEJ3R6HIOKW7EXEP/bundle.json","state":"https://pith.science/pith/FTNJWAW3WFTEJ3R6HIOKW7EXEP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTNJWAW3WFTEJ3R6HIOKW7EXEP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:FTNJWAW3WFTEJ3R6HIOKW7EXEP","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":"579bfdff3e44318828cbcbdf9a602011d182f2aa51cbc5bde9078e09c835fd7e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-12-09T10:39:42Z","title_canon_sha256":"5f41c555247cd7f43dd407f735091dadd4dc76a63fd0fb6f0b89dd943cdf33f3"},"schema_version":"1.0","source":{"id":"hep-th/9612090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9612090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9612090v1","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9612090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"FTNJWAW3WFTE","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"FTNJWAW3WFTEJ3R6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"FTNJWAW3","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:9e7d5cd23d0313f2a35ec3941d2cb55de056a60ad70ee11e1cc463ac13d2c754","target":"graph","created_at":"2026-05-18T01:05:56Z","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 consider the 3-manifold invariant I(M) which is defined by means of the Chern-Simons quantum field theory and which coincides with the Reshetikhin-Turaev invariant. We present some arguments and numerical results supporting the conjecture that, for nonvanishing I(M), the absolute value | I(M) | only depends on the fundamental group \\pi_1 (M) of the manifold M. For lens spaces, the conjecture is proved when the gauge group is SU(2). In the case in which the gauge group is SU(3), we present numerical computations confirming the conjecture.","authors_text":"E. Guadagnini, L. Pilo","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-12-09T10:39:42Z","title":"Three-manifold invariants and their relation with the fundamental group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9612090","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":"sha256:95ef327783e30c3514101536b2381e199c64f8e663cd0f9c413628842016cf83","target":"record","created_at":"2026-05-18T01:05:56Z","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":"579bfdff3e44318828cbcbdf9a602011d182f2aa51cbc5bde9078e09c835fd7e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-12-09T10:39:42Z","title_canon_sha256":"5f41c555247cd7f43dd407f735091dadd4dc76a63fd0fb6f0b89dd943cdf33f3"},"schema_version":"1.0","source":{"id":"hep-th/9612090","kind":"arxiv","version":1}},"canonical_sha256":"2cda9b02dbb16644ee3e3a1cab7c9723f8f3ece662d1af3a71f152f0f5e3e713","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cda9b02dbb16644ee3e3a1cab7c9723f8f3ece662d1af3a71f152f0f5e3e713","first_computed_at":"2026-05-18T01:05:56.401751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:56.401751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pH+/kmNCb/hI4/9Gymojft/QoNVH57R/ihCtIhMHCNtAhHnJq5cCLJpQ4DpMwCo5er42wy7QBhGcofnwy1FMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:56.402181Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9612090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95ef327783e30c3514101536b2381e199c64f8e663cd0f9c413628842016cf83","sha256:9e7d5cd23d0313f2a35ec3941d2cb55de056a60ad70ee11e1cc463ac13d2c754"],"state_sha256":"b24afd23fc0fc6168b18d9071ca9c1c9e820f76dc6423bec12b4e41a80ca7b8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5FWVJdjsYmggURp93dazhrtGBKykKCf/NTuP6254P0Wz4nZH7Xcx++Y3wBdddh12915KxIvVpQbqasNvz0ABw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:39:43.147462Z","bundle_sha256":"173c93facab6e43e4a316ce3f505746f8863ffd739174483e06187db3febb3cc"}}