{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:W6K4UYNQNUVF5UUEFKCZECBDPS","short_pith_number":"pith:W6K4UYNQ","canonical_record":{"source":{"id":"1505.05324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T11:28:10Z","cross_cats_sorted":[],"title_canon_sha256":"933aabf8e21fbba0dcae0e558325fde3eb55d383657de03bdac85c219d80f58f","abstract_canon_sha256":"027d336389e8a0a1df0cc34d346d993619e07cfa983a746c06ef81f08ebda450"},"schema_version":"1.0"},"canonical_sha256":"b795ca61b06d2a5ed2842a859208237c9be22fa2c011c2ae45218fb00f2aeec6","source":{"kind":"arxiv","id":"1505.05324","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05324","created_at":"2026-05-18T02:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05324v1","created_at":"2026-05-18T02:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05324","created_at":"2026-05-18T02:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"W6K4UYNQNUVF","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W6K4UYNQNUVF5UUE","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W6K4UYNQ","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:W6K4UYNQNUVF5UUEFKCZECBDPS","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T11:28:10Z","cross_cats_sorted":[],"title_canon_sha256":"933aabf8e21fbba0dcae0e558325fde3eb55d383657de03bdac85c219d80f58f","abstract_canon_sha256":"027d336389e8a0a1df0cc34d346d993619e07cfa983a746c06ef81f08ebda450"},"schema_version":"1.0"},"canonical_sha256":"b795ca61b06d2a5ed2842a859208237c9be22fa2c011c2ae45218fb00f2aeec6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:56.844283Z","signature_b64":"K6SmVlbov+6O8PlDfzV6cJixWBI5ATF2fYuu6kvoQJyV0Qrg9ePne56Xz/7SbE3H1o0Q6zIIjJfQRFi6v3isCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b795ca61b06d2a5ed2842a859208237c9be22fa2c011c2ae45218fb00f2aeec6","last_reissued_at":"2026-05-18T02:03:56.843434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:56.843434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05324","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":"2026-05-18T02:03:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ebd0tffOOCwtU3LdenwdNgV+fAEhKVJ1i8uCTbeIZqzfhyJQ28PyYHqK3y8MP6+ks4ghXVmVUzyEErjG3DluBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:02:57.398904Z"},"content_sha256":"c261dadfd963c588feeb96b835b8ae9dca1682c99acbd3ef47dce67a50be2803","schema_version":"1.0","event_id":"sha256:c261dadfd963c588feeb96b835b8ae9dca1682c99acbd3ef47dce67a50be2803"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:W6K4UYNQNUVF5UUEFKCZECBDPS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on the extremal process of the supercritical Gaussian Free Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra","submitted_at":"2015-05-20T11:28:10Z","abstract_excerpt":"We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite box in dimension larger or equal to 3. We show that the associated extremal process converges to a Poisson point process. The result follows from an application of the Stein-Chen method from Arratia et al. (1989)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05324","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":"2026-05-18T02:03:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTg5BkXNqZgTSJTT4umy8Y1g6crpYj+B4Hvmzfo07lPCjopMCl+zQb6CQgfRjDVqGhRbzF1rxLoy1JVEYRgWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:02:57.399257Z"},"content_sha256":"7f89cc005ab41a3505e12c3539254d3632c2c9f99f410554475b9c2e8a924fb9","schema_version":"1.0","event_id":"sha256:7f89cc005ab41a3505e12c3539254d3632c2c9f99f410554475b9c2e8a924fb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W6K4UYNQNUVF5UUEFKCZECBDPS/bundle.json","state_url":"https://pith.science/pith/W6K4UYNQNUVF5UUEFKCZECBDPS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W6K4UYNQNUVF5UUEFKCZECBDPS/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":"2026-05-28T15:02:57Z","links":{"resolver":"https://pith.science/pith/W6K4UYNQNUVF5UUEFKCZECBDPS","bundle":"https://pith.science/pith/W6K4UYNQNUVF5UUEFKCZECBDPS/bundle.json","state":"https://pith.science/pith/W6K4UYNQNUVF5UUEFKCZECBDPS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W6K4UYNQNUVF5UUEFKCZECBDPS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W6K4UYNQNUVF5UUEFKCZECBDPS","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":"027d336389e8a0a1df0cc34d346d993619e07cfa983a746c06ef81f08ebda450","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T11:28:10Z","title_canon_sha256":"933aabf8e21fbba0dcae0e558325fde3eb55d383657de03bdac85c219d80f58f"},"schema_version":"1.0","source":{"id":"1505.05324","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05324","created_at":"2026-05-18T02:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05324v1","created_at":"2026-05-18T02:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05324","created_at":"2026-05-18T02:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"W6K4UYNQNUVF","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W6K4UYNQNUVF5UUE","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W6K4UYNQ","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:7f89cc005ab41a3505e12c3539254d3632c2c9f99f410554475b9c2e8a924fb9","target":"graph","created_at":"2026-05-18T02:03:56Z","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 both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite box in dimension larger or equal to 3. We show that the associated extremal process converges to a Poisson point process. The result follows from an application of the Stein-Chen method from Arratia et al. (1989).","authors_text":"Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T11:28:10Z","title":"A note on the extremal process of the supercritical Gaussian Free Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05324","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:c261dadfd963c588feeb96b835b8ae9dca1682c99acbd3ef47dce67a50be2803","target":"record","created_at":"2026-05-18T02:03:56Z","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":"027d336389e8a0a1df0cc34d346d993619e07cfa983a746c06ef81f08ebda450","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T11:28:10Z","title_canon_sha256":"933aabf8e21fbba0dcae0e558325fde3eb55d383657de03bdac85c219d80f58f"},"schema_version":"1.0","source":{"id":"1505.05324","kind":"arxiv","version":1}},"canonical_sha256":"b795ca61b06d2a5ed2842a859208237c9be22fa2c011c2ae45218fb00f2aeec6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b795ca61b06d2a5ed2842a859208237c9be22fa2c011c2ae45218fb00f2aeec6","first_computed_at":"2026-05-18T02:03:56.843434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:56.843434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6SmVlbov+6O8PlDfzV6cJixWBI5ATF2fYuu6kvoQJyV0Qrg9ePne56Xz/7SbE3H1o0Q6zIIjJfQRFi6v3isCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:56.844283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05324","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c261dadfd963c588feeb96b835b8ae9dca1682c99acbd3ef47dce67a50be2803","sha256:7f89cc005ab41a3505e12c3539254d3632c2c9f99f410554475b9c2e8a924fb9"],"state_sha256":"1a3a2ba0d4a96775d6a05e5cc861230ba0cb563bd807fcdae0bfcdbe5074c380"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GULxzEhed4ZmUgRPpU3yG88GISUp2R+SKjMj89mPoXzmijAQN0ATCaVvp9hog3X568GiLVDHW/62HFCW6p53Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T15:02:57.401260Z","bundle_sha256":"c87ee36b5361e6d4702ba50536540851314b6fc83be68f4c1ed491f1c14a0c55"}}