{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:6MJBAQR5PK3JG56KG34GEU33XT","short_pith_number":"pith:6MJBAQR5","canonical_record":{"source":{"id":"hep-th/9212079","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-12-12T16:53:34Z","cross_cats_sorted":[],"title_canon_sha256":"a6e5608615eecd866698b1f9856bdcbb43ee2289efd8dffb90ebdf2a60075c49","abstract_canon_sha256":"559418ab1052f37f18b3c7f5111296429a0d9fb28472ee71131808ca9407184f"},"schema_version":"1.0"},"canonical_sha256":"f31210423d7ab69377ca36f862537bbce39ab1ff4149276077ee495d6719bb08","source":{"kind":"arxiv","id":"hep-th/9212079","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9212079","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9212079v1","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9212079","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"6MJBAQR5PK3J","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6MJBAQR5PK3JG56K","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6MJBAQR5","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:6MJBAQR5PK3JG56KG34GEU33XT","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9212079","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-12-12T16:53:34Z","cross_cats_sorted":[],"title_canon_sha256":"a6e5608615eecd866698b1f9856bdcbb43ee2289efd8dffb90ebdf2a60075c49","abstract_canon_sha256":"559418ab1052f37f18b3c7f5111296429a0d9fb28472ee71131808ca9407184f"},"schema_version":"1.0"},"canonical_sha256":"f31210423d7ab69377ca36f862537bbce39ab1ff4149276077ee495d6719bb08","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:43.085919Z","signature_b64":"8pv4jXO40bStscI/5MsHas7DLbun5WH+fWvtZhRdmj02qgJ89zNykwqRXnxA4MIN03wnqPdLjfNKAvITqISFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f31210423d7ab69377ca36f862537bbce39ab1ff4149276077ee495d6719bb08","last_reissued_at":"2026-05-18T01:38:43.085454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:43.085454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9212079","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":"2026-05-18T01:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJOeQjnpOxxcQDhAQgyRkMTzVkRqgc9yTNLUyIpKByzqe/H89yWVpcx/SShxQ8Onbdei13N4OxSo/NGfLbOcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:27:57.299210Z"},"content_sha256":"d829b0d775e202f3214faa7e6a40b839149ec45223ba48af13fdb7b5ffb109ed","schema_version":"1.0","event_id":"sha256:d829b0d775e202f3214faa7e6a40b839149ec45223ba48af13fdb7b5ffb109ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:6MJBAQR5PK3JG56KG34GEU33XT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean Field Approach to the Giant Wormhole Problem","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Gamba, I. Kolokolov, M. Martellini","submitted_at":"1992-12-12T16:53:34Z","abstract_excerpt":"We introduce a gaussian probability density for the space-time distribution of wormholes, thus taking effectively into account wormhole interaction. Using a mean-field approximation for the free energy, we show that giant wormholes are probabilistically suppressed in a homogenous isotropic ``large'' universe."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9212079","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":"2026-05-18T01:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8TqmwPa17OW+qBQEWo5NuKlVbi9qDqUrbtK9Yz1o8RGpjT2ewf3qjd4yU1RljWtd3X30os5RIKg45bbacpLqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:27:57.299568Z"},"content_sha256":"bf69db86a60b47b82d0dbdba6c15ce6576e5b3cecb2cbe5fc170b26779f75cd5","schema_version":"1.0","event_id":"sha256:bf69db86a60b47b82d0dbdba6c15ce6576e5b3cecb2cbe5fc170b26779f75cd5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6MJBAQR5PK3JG56KG34GEU33XT/bundle.json","state_url":"https://pith.science/pith/6MJBAQR5PK3JG56KG34GEU33XT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6MJBAQR5PK3JG56KG34GEU33XT/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":"2026-06-25T09:27:57Z","links":{"resolver":"https://pith.science/pith/6MJBAQR5PK3JG56KG34GEU33XT","bundle":"https://pith.science/pith/6MJBAQR5PK3JG56KG34GEU33XT/bundle.json","state":"https://pith.science/pith/6MJBAQR5PK3JG56KG34GEU33XT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6MJBAQR5PK3JG56KG34GEU33XT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:6MJBAQR5PK3JG56KG34GEU33XT","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":"559418ab1052f37f18b3c7f5111296429a0d9fb28472ee71131808ca9407184f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-12-12T16:53:34Z","title_canon_sha256":"a6e5608615eecd866698b1f9856bdcbb43ee2289efd8dffb90ebdf2a60075c49"},"schema_version":"1.0","source":{"id":"hep-th/9212079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9212079","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9212079v1","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9212079","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"6MJBAQR5PK3J","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6MJBAQR5PK3JG56K","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6MJBAQR5","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:bf69db86a60b47b82d0dbdba6c15ce6576e5b3cecb2cbe5fc170b26779f75cd5","target":"graph","created_at":"2026-05-18T01:38:43Z","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 introduce a gaussian probability density for the space-time distribution of wormholes, thus taking effectively into account wormhole interaction. Using a mean-field approximation for the free energy, we show that giant wormholes are probabilistically suppressed in a homogenous isotropic ``large'' universe.","authors_text":"A. Gamba, I. Kolokolov, M. Martellini","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-12-12T16:53:34Z","title":"Mean Field Approach to the Giant Wormhole Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9212079","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:d829b0d775e202f3214faa7e6a40b839149ec45223ba48af13fdb7b5ffb109ed","target":"record","created_at":"2026-05-18T01:38:43Z","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":"559418ab1052f37f18b3c7f5111296429a0d9fb28472ee71131808ca9407184f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-12-12T16:53:34Z","title_canon_sha256":"a6e5608615eecd866698b1f9856bdcbb43ee2289efd8dffb90ebdf2a60075c49"},"schema_version":"1.0","source":{"id":"hep-th/9212079","kind":"arxiv","version":1}},"canonical_sha256":"f31210423d7ab69377ca36f862537bbce39ab1ff4149276077ee495d6719bb08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f31210423d7ab69377ca36f862537bbce39ab1ff4149276077ee495d6719bb08","first_computed_at":"2026-05-18T01:38:43.085454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:43.085454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8pv4jXO40bStscI/5MsHas7DLbun5WH+fWvtZhRdmj02qgJ89zNykwqRXnxA4MIN03wnqPdLjfNKAvITqISFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:43.085919Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9212079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d829b0d775e202f3214faa7e6a40b839149ec45223ba48af13fdb7b5ffb109ed","sha256:bf69db86a60b47b82d0dbdba6c15ce6576e5b3cecb2cbe5fc170b26779f75cd5"],"state_sha256":"f6b1df396ab59ee86630c4819b0ef21caaf35debc875ef412e4d1a23118fc79f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5+jALeOtRHPCZRgjXkL8aNdgTk29QYVJmUMSN0ANC/Udayx3liExFMt+J8a5ADEDj02B90H8Cvm2c4zzi7A1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T09:27:57.301532Z","bundle_sha256":"61d68f242bf05e4c83edcb2db8c16eac99ee5c5f2c0e960176789f15cea01f99"}}