{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KCNRWD6OMGDORBMYBB23RQFL75","short_pith_number":"pith:KCNRWD6O","canonical_record":{"source":{"id":"1712.00228","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-01T08:18:52Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"6f78a803ca747883346008518d627efd967d77d0083ca76899411270744fb970","abstract_canon_sha256":"5b26d7b1b0ccf2286e46b78e13df52b50d6253255db37003d7fc881dc4a142b4"},"schema_version":"1.0"},"canonical_sha256":"509b1b0fce6186e885980875b8c0abff6efbcedc1515444b9550b14fa6e59806","source":{"kind":"arxiv","id":"1712.00228","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00228","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00228v1","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00228","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"KCNRWD6OMGDO","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KCNRWD6OMGDORBMY","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KCNRWD6O","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KCNRWD6OMGDORBMYBB23RQFL75","target":"record","payload":{"canonical_record":{"source":{"id":"1712.00228","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-01T08:18:52Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"6f78a803ca747883346008518d627efd967d77d0083ca76899411270744fb970","abstract_canon_sha256":"5b26d7b1b0ccf2286e46b78e13df52b50d6253255db37003d7fc881dc4a142b4"},"schema_version":"1.0"},"canonical_sha256":"509b1b0fce6186e885980875b8c0abff6efbcedc1515444b9550b14fa6e59806","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:06.875331Z","signature_b64":"lPhzQ3E6xSs6NJnOppekSD7mySfvrdALYjyB/feVsyr+zMhaRcYw2s6Z1Mfdfs3E91XdOiylMZpy5SVpc+rUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"509b1b0fce6186e885980875b8c0abff6efbcedc1515444b9550b14fa6e59806","last_reissued_at":"2026-05-18T00:29:06.874691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:06.874691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.00228","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":"2026-05-18T00:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXZZDwTbKqtBJ1T3TOz87yxIgjHrlxrmu8qaTbgeoTr/zxwirHOKB0pK95M0kUSStLEMRXQabfj2ql0W9o9mDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:30:22.193378Z"},"content_sha256":"6c6dd8aec68896606f46e10526252a4f51312188d461a0b0eb8df7d1f1482e37","schema_version":"1.0","event_id":"sha256:6c6dd8aec68896606f46e10526252a4f51312188d461a0b0eb8df7d1f1482e37"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KCNRWD6OMGDORBMYBB23RQFL75","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new exponential upper bound for the Erd\\H{o}s-Ginzburg-Ziv constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"G\\'abor Heged\\\"us","submitted_at":"2017-12-01T08:18:52Z","abstract_excerpt":"Naslund used Tao's slice rank bounding method to give new exponential upper bounds for the Erd\\H{o}s--Ginzburg-Ziv constant of finite Abelian groups of high rank. In our short manuscript we improve slightly Naslund's upper bounds. We extend Naslund's results and prove new exponential upper bounds for the Erd\\H{o}s--Ginzburg-Ziv constant of arbitrary finite Abelian groups. Our main results depend on a conjecture about Property D."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00228","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":"2026-05-18T00:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KZXNAbFfgEg5PSFuIkvkhM+EDZB9ckF1W5NS1LahqmggpgpyshZVd90mdtzZwbczu3IMLNIlurU3xHAf796oDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:30:22.193972Z"},"content_sha256":"3276f46807cdf6d331f898c96efae48717fc8c127fa639dafd61fbd284298b87","schema_version":"1.0","event_id":"sha256:3276f46807cdf6d331f898c96efae48717fc8c127fa639dafd61fbd284298b87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KCNRWD6OMGDORBMYBB23RQFL75/bundle.json","state_url":"https://pith.science/pith/KCNRWD6OMGDORBMYBB23RQFL75/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KCNRWD6OMGDORBMYBB23RQFL75/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":"2026-06-07T18:30:22Z","links":{"resolver":"https://pith.science/pith/KCNRWD6OMGDORBMYBB23RQFL75","bundle":"https://pith.science/pith/KCNRWD6OMGDORBMYBB23RQFL75/bundle.json","state":"https://pith.science/pith/KCNRWD6OMGDORBMYBB23RQFL75/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KCNRWD6OMGDORBMYBB23RQFL75/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KCNRWD6OMGDORBMYBB23RQFL75","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":"5b26d7b1b0ccf2286e46b78e13df52b50d6253255db37003d7fc881dc4a142b4","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-01T08:18:52Z","title_canon_sha256":"6f78a803ca747883346008518d627efd967d77d0083ca76899411270744fb970"},"schema_version":"1.0","source":{"id":"1712.00228","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00228","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00228v1","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00228","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"KCNRWD6OMGDO","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KCNRWD6OMGDORBMY","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KCNRWD6O","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:3276f46807cdf6d331f898c96efae48717fc8c127fa639dafd61fbd284298b87","target":"graph","created_at":"2026-05-18T00:29:06Z","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":"Naslund used Tao's slice rank bounding method to give new exponential upper bounds for the Erd\\H{o}s--Ginzburg-Ziv constant of finite Abelian groups of high rank. In our short manuscript we improve slightly Naslund's upper bounds. We extend Naslund's results and prove new exponential upper bounds for the Erd\\H{o}s--Ginzburg-Ziv constant of arbitrary finite Abelian groups. Our main results depend on a conjecture about Property D.","authors_text":"G\\'abor Heged\\\"us","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-01T08:18:52Z","title":"A new exponential upper bound for the Erd\\H{o}s-Ginzburg-Ziv constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00228","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":"sha256:6c6dd8aec68896606f46e10526252a4f51312188d461a0b0eb8df7d1f1482e37","target":"record","created_at":"2026-05-18T00:29:06Z","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":"5b26d7b1b0ccf2286e46b78e13df52b50d6253255db37003d7fc881dc4a142b4","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-01T08:18:52Z","title_canon_sha256":"6f78a803ca747883346008518d627efd967d77d0083ca76899411270744fb970"},"schema_version":"1.0","source":{"id":"1712.00228","kind":"arxiv","version":1}},"canonical_sha256":"509b1b0fce6186e885980875b8c0abff6efbcedc1515444b9550b14fa6e59806","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"509b1b0fce6186e885980875b8c0abff6efbcedc1515444b9550b14fa6e59806","first_computed_at":"2026-05-18T00:29:06.874691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:06.874691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lPhzQ3E6xSs6NJnOppekSD7mySfvrdALYjyB/feVsyr+zMhaRcYw2s6Z1Mfdfs3E91XdOiylMZpy5SVpc+rUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:06.875331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00228","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c6dd8aec68896606f46e10526252a4f51312188d461a0b0eb8df7d1f1482e37","sha256:3276f46807cdf6d331f898c96efae48717fc8c127fa639dafd61fbd284298b87"],"state_sha256":"ea306dcf60a6dcd87a65187547f629fc7c85daa6266e5905234155996b2c805e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jkOZT90ilXWdntd/dkypfCC8ZUbMiPlFZP+9X5zS1aPo6N2uGVjwb/SAB4P6k3AL48+cwzmogrDTCWebNYiLDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:30:22.197773Z","bundle_sha256":"56e5d0d033755907fb3c168e6ec34b8b58e3d7ade63c9580b992a6fc49654156"}}