{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EL2ITDUN4BU7IDPZYPZPMBWC24","short_pith_number":"pith:EL2ITDUN","canonical_record":{"source":{"id":"1706.02184","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-07T13:34:56Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f5692c39a1ea853d3b8b2b9227be885e807f73c266191c0fc37b15eb71c56033","abstract_canon_sha256":"24bf2740f385aee53103e11b175f4a802c3087459b4120f89108ee97cc856a0f"},"schema_version":"1.0"},"canonical_sha256":"22f4898e8de069f40df9c3f2f606c2d71092ae144510440279de34648a2ce0b7","source":{"kind":"arxiv","id":"1706.02184","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.02184","created_at":"2026-05-18T00:42:49Z"},{"alias_kind":"arxiv_version","alias_value":"1706.02184v1","created_at":"2026-05-18T00:42:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02184","created_at":"2026-05-18T00:42:49Z"},{"alias_kind":"pith_short_12","alias_value":"EL2ITDUN4BU7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EL2ITDUN4BU7IDPZ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EL2ITDUN","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EL2ITDUN4BU7IDPZYPZPMBWC24","target":"record","payload":{"canonical_record":{"source":{"id":"1706.02184","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-07T13:34:56Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f5692c39a1ea853d3b8b2b9227be885e807f73c266191c0fc37b15eb71c56033","abstract_canon_sha256":"24bf2740f385aee53103e11b175f4a802c3087459b4120f89108ee97cc856a0f"},"schema_version":"1.0"},"canonical_sha256":"22f4898e8de069f40df9c3f2f606c2d71092ae144510440279de34648a2ce0b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:49.711814Z","signature_b64":"73HsH9CuGwIA648Y3n2EAgVuc8YrxaUPQKqMEx/CFq7b+ckLYxSimk/tw7kAdj8yHfV77OjqBueCR2xacpcBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22f4898e8de069f40df9c3f2f606c2d71092ae144510440279de34648a2ce0b7","last_reissued_at":"2026-05-18T00:42:49.711055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:49.711055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.02184","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":"2026-05-18T00:42:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CQDQ4zdQlRJqhOlUkzvbcEopFDcwy6qxX1K9DvIy4NcIhjRCO7lZnqix/gGcU/OJlkS2rBQNWkMt/QvocjrlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:11:00.029589Z"},"content_sha256":"51841b2864ecad48689e919aadc88b230ee320c0580d57002c760abbfc921ac2","schema_version":"1.0","event_id":"sha256:51841b2864ecad48689e919aadc88b230ee320c0580d57002c760abbfc921ac2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EL2ITDUN4BU7IDPZYPZPMBWC24","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sub-ballisticity of self-repelling polymers in Z^d","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Daria Smirnova","submitted_at":"2017-06-07T13:34:56Z","abstract_excerpt":"In this article, we prove sub-ballisticity for a class of self-repelling polymers inZ^d. Self-repelling polymers are a two-way generalization of the model of self-avoiding walks, for which the sub-ballisticity was proved by H. Duminil-Copin and A. Hammond. Namely, we consider an arbitrary finite symmetric distribution of steps and a more flexible penalization for self-intersections than in the self-avoiding walks model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02184","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":"2026-05-18T00:42:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BpRkBTTaFPttjyeABrI8ER5LRRWJD66LdeS+t21YVBNXbms6sDdVb+ZVakH3wp6Z21t+RR0Q7Nqwsu4I0mUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:11:00.030291Z"},"content_sha256":"113fb760b4abef76ede3ae71c34c72d4d0df1aa2e35f794c51ac24e2e11ae5d7","schema_version":"1.0","event_id":"sha256:113fb760b4abef76ede3ae71c34c72d4d0df1aa2e35f794c51ac24e2e11ae5d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EL2ITDUN4BU7IDPZYPZPMBWC24/bundle.json","state_url":"https://pith.science/pith/EL2ITDUN4BU7IDPZYPZPMBWC24/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EL2ITDUN4BU7IDPZYPZPMBWC24/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":"2026-06-07T14:11:00Z","links":{"resolver":"https://pith.science/pith/EL2ITDUN4BU7IDPZYPZPMBWC24","bundle":"https://pith.science/pith/EL2ITDUN4BU7IDPZYPZPMBWC24/bundle.json","state":"https://pith.science/pith/EL2ITDUN4BU7IDPZYPZPMBWC24/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EL2ITDUN4BU7IDPZYPZPMBWC24/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EL2ITDUN4BU7IDPZYPZPMBWC24","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":"24bf2740f385aee53103e11b175f4a802c3087459b4120f89108ee97cc856a0f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-07T13:34:56Z","title_canon_sha256":"f5692c39a1ea853d3b8b2b9227be885e807f73c266191c0fc37b15eb71c56033"},"schema_version":"1.0","source":{"id":"1706.02184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.02184","created_at":"2026-05-18T00:42:49Z"},{"alias_kind":"arxiv_version","alias_value":"1706.02184v1","created_at":"2026-05-18T00:42:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02184","created_at":"2026-05-18T00:42:49Z"},{"alias_kind":"pith_short_12","alias_value":"EL2ITDUN4BU7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EL2ITDUN4BU7IDPZ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EL2ITDUN","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:113fb760b4abef76ede3ae71c34c72d4d0df1aa2e35f794c51ac24e2e11ae5d7","target":"graph","created_at":"2026-05-18T00:42:49Z","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":"In this article, we prove sub-ballisticity for a class of self-repelling polymers inZ^d. Self-repelling polymers are a two-way generalization of the model of self-avoiding walks, for which the sub-ballisticity was proved by H. Duminil-Copin and A. Hammond. Namely, we consider an arbitrary finite symmetric distribution of steps and a more flexible penalization for self-intersections than in the self-avoiding walks model.","authors_text":"Daria Smirnova","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-07T13:34:56Z","title":"Sub-ballisticity of self-repelling polymers in Z^d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02184","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":"sha256:51841b2864ecad48689e919aadc88b230ee320c0580d57002c760abbfc921ac2","target":"record","created_at":"2026-05-18T00:42:49Z","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":"24bf2740f385aee53103e11b175f4a802c3087459b4120f89108ee97cc856a0f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-07T13:34:56Z","title_canon_sha256":"f5692c39a1ea853d3b8b2b9227be885e807f73c266191c0fc37b15eb71c56033"},"schema_version":"1.0","source":{"id":"1706.02184","kind":"arxiv","version":1}},"canonical_sha256":"22f4898e8de069f40df9c3f2f606c2d71092ae144510440279de34648a2ce0b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22f4898e8de069f40df9c3f2f606c2d71092ae144510440279de34648a2ce0b7","first_computed_at":"2026-05-18T00:42:49.711055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:49.711055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"73HsH9CuGwIA648Y3n2EAgVuc8YrxaUPQKqMEx/CFq7b+ckLYxSimk/tw7kAdj8yHfV77OjqBueCR2xacpcBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:49.711814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.02184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51841b2864ecad48689e919aadc88b230ee320c0580d57002c760abbfc921ac2","sha256:113fb760b4abef76ede3ae71c34c72d4d0df1aa2e35f794c51ac24e2e11ae5d7"],"state_sha256":"baae21d1c02c5f4dbc8b95f9e06db87fe55858a008b73e37c512b0b013ed32a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fDS+10z8yFR+coYl6TL2URoRn6YIT0dABj1Y3JajDBg+Vqp6uqx9sa1mpbztFLV3rmnvTSv3U4IL5krFqE72CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:11:00.034040Z","bundle_sha256":"6920d67fd5c250f21d7b7d1f52244d93ea19725c95e851e330b7cad4d11c3240"}}