{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ID7SAK7LEXKXNXG2KYRN3S5WPI","short_pith_number":"pith:ID7SAK7L","canonical_record":{"source":{"id":"2102.07723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-15T18:17:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"5433ff7699d6ea3f09ce6435b19d3bf968b1c061282145e6318c628b32346a04","abstract_canon_sha256":"5ef6dd46a8b7bad5ce06b632544839ccd6e4050c6f63057db7cec1d233afe95d"},"schema_version":"1.0"},"canonical_sha256":"40ff202beb25d576dcda5622ddcbb67a3a5f91202c8fd17cfcff08f8b288e2c4","source":{"kind":"arxiv","id":"2102.07723","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.07723","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"2102.07723v2","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.07723","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"ID7SAK7LEXKX","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"pith_short_16","alias_value":"ID7SAK7LEXKXNXG2","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"pith_short_8","alias_value":"ID7SAK7L","created_at":"2026-07-05T02:45:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ID7SAK7LEXKXNXG2KYRN3S5WPI","target":"record","payload":{"canonical_record":{"source":{"id":"2102.07723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-15T18:17:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"5433ff7699d6ea3f09ce6435b19d3bf968b1c061282145e6318c628b32346a04","abstract_canon_sha256":"5ef6dd46a8b7bad5ce06b632544839ccd6e4050c6f63057db7cec1d233afe95d"},"schema_version":"1.0"},"canonical_sha256":"40ff202beb25d576dcda5622ddcbb67a3a5f91202c8fd17cfcff08f8b288e2c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:45:23.393611Z","signature_b64":"W/xF3vXl7x2zju0s1s1SFBUbmpxWqMYrNAPCQ9ZniEEQI+E4x0azySNPOR6GGImB+LiVPC4Ntus9NALoG8n4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40ff202beb25d576dcda5622ddcbb67a3a5f91202c8fd17cfcff08f8b288e2c4","last_reissued_at":"2026-07-05T02:45:23.393110Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:45:23.393110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.07723","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:45:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nFiHPXmjwi0w2EYDuZ4YR2EilEQ+AhZSkLXVIILAPc/Drbw70XxyJFEm6DR8ngezH/vtjNeO1aKOunEwc/R1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:12:08.452307Z"},"content_sha256":"ca97daa69725ce20d31306f955808801553294386c57cf64e41b81f83ca23b68","schema_version":"1.0","event_id":"sha256:ca97daa69725ce20d31306f955808801553294386c57cf64e41b81f83ca23b68"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ID7SAK7LEXKXNXG2KYRN3S5WPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approach to scaling in axion string networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Asier Lopez-Eiguren, Joanes Lizarraga, Jon Urrestilla, Mark Hindmarsh","submitted_at":"2021-02-15T18:17:05Z","abstract_excerpt":"We study the approach to scaling in axion string networks in the radiation era, through measuring the root-mean-square velocity $v$ as well as the scaled mean string separation $x$. We find good evidence for a fixed point in the phase-space analysis in the variables $(x,v)$, providing a strong indication that standard scaling is taking place. We show that the approach to scaling can be well described by a two parameter velocity-one-scale (VOS) model, and show that the values of the parameters are insensitive to the initial state of the network. The string length has also been commonly expresse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.07723","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2102.07723/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:45:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LXd3dsiBSqIhgO+sIcdHoJn+soZ8BA11oDTbziVMzrrYohWjNhuT7Ljuh8P8zFwF1vs65Yu2O+jytwSMvLX+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:12:08.453259Z"},"content_sha256":"ff3bf5091c9008381d49b51e93787ec03def7f78cfef29273476ee4bfbdbb2a7","schema_version":"1.0","event_id":"sha256:ff3bf5091c9008381d49b51e93787ec03def7f78cfef29273476ee4bfbdbb2a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ID7SAK7LEXKXNXG2KYRN3S5WPI/bundle.json","state_url":"https://pith.science/pith/ID7SAK7LEXKXNXG2KYRN3S5WPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ID7SAK7LEXKXNXG2KYRN3S5WPI/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":"2026-08-04T04:12:08Z","links":{"resolver":"https://pith.science/pith/ID7SAK7LEXKXNXG2KYRN3S5WPI","bundle":"https://pith.science/pith/ID7SAK7LEXKXNXG2KYRN3S5WPI/bundle.json","state":"https://pith.science/pith/ID7SAK7LEXKXNXG2KYRN3S5WPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ID7SAK7LEXKXNXG2KYRN3S5WPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ID7SAK7LEXKXNXG2KYRN3S5WPI","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":"5ef6dd46a8b7bad5ce06b632544839ccd6e4050c6f63057db7cec1d233afe95d","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-15T18:17:05Z","title_canon_sha256":"5433ff7699d6ea3f09ce6435b19d3bf968b1c061282145e6318c628b32346a04"},"schema_version":"1.0","source":{"id":"2102.07723","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.07723","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"2102.07723v2","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.07723","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"ID7SAK7LEXKX","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"pith_short_16","alias_value":"ID7SAK7LEXKXNXG2","created_at":"2026-07-05T02:45:23Z"},{"alias_kind":"pith_short_8","alias_value":"ID7SAK7L","created_at":"2026-07-05T02:45:23Z"}],"graph_snapshots":[{"event_id":"sha256:ff3bf5091c9008381d49b51e93787ec03def7f78cfef29273476ee4bfbdbb2a7","target":"graph","created_at":"2026-07-05T02:45:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2102.07723/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the approach to scaling in axion string networks in the radiation era, through measuring the root-mean-square velocity $v$ as well as the scaled mean string separation $x$. We find good evidence for a fixed point in the phase-space analysis in the variables $(x,v)$, providing a strong indication that standard scaling is taking place. We show that the approach to scaling can be well described by a two parameter velocity-one-scale (VOS) model, and show that the values of the parameters are insensitive to the initial state of the network. The string length has also been commonly expresse","authors_text":"Asier Lopez-Eiguren, Joanes Lizarraga, Jon Urrestilla, Mark Hindmarsh","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-15T18:17:05Z","title":"Approach to scaling in axion string networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.07723","kind":"arxiv","version":2},"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:ca97daa69725ce20d31306f955808801553294386c57cf64e41b81f83ca23b68","target":"record","created_at":"2026-07-05T02:45:23Z","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":"5ef6dd46a8b7bad5ce06b632544839ccd6e4050c6f63057db7cec1d233afe95d","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-15T18:17:05Z","title_canon_sha256":"5433ff7699d6ea3f09ce6435b19d3bf968b1c061282145e6318c628b32346a04"},"schema_version":"1.0","source":{"id":"2102.07723","kind":"arxiv","version":2}},"canonical_sha256":"40ff202beb25d576dcda5622ddcbb67a3a5f91202c8fd17cfcff08f8b288e2c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40ff202beb25d576dcda5622ddcbb67a3a5f91202c8fd17cfcff08f8b288e2c4","first_computed_at":"2026-07-05T02:45:23.393110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:45:23.393110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W/xF3vXl7x2zju0s1s1SFBUbmpxWqMYrNAPCQ9ZniEEQI+E4x0azySNPOR6GGImB+LiVPC4Ntus9NALoG8n4Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:45:23.393611Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.07723","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca97daa69725ce20d31306f955808801553294386c57cf64e41b81f83ca23b68","sha256:ff3bf5091c9008381d49b51e93787ec03def7f78cfef29273476ee4bfbdbb2a7"],"state_sha256":"63569de469a3a256cbaebc20431052d8d53e8b172448dd4af2a6bfb6c5707d13"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ObTopGehysvthiJdZ7Mih5/3r6ViyfF6XFmhPirYuqccjaYaTVwR0+JlOU27OqJgJMOnULUHPE8yl+HY8iFmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T04:12:08.459144Z","bundle_sha256":"ea254f2ad3c97ff796b5c7936edee991ef1334ce197ed7e1c2ea7ee9a9a25185"}}