{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Z3KMAFIL6KKPVSZHKWEVHDSSJQ","short_pith_number":"pith:Z3KMAFIL","canonical_record":{"source":{"id":"2604.25351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-04-28T08:09:50Z","cross_cats_sorted":[],"title_canon_sha256":"452526025955a03be3597f96f905f488482ebc68120f304f12553e302f9a0726","abstract_canon_sha256":"e30c57e79cbcbbe1d90ced053285f9e110590c62bc0f9bae4775f6afc5637175"},"schema_version":"1.0"},"canonical_sha256":"ced4c0150bf294facb275589538e524c2f17f4bd7b762324a231c8c487d1f844","source":{"kind":"arxiv","id":"2604.25351","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.25351","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"2604.25351v2","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.25351","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"Z3KMAFIL6KKP","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"pith_short_16","alias_value":"Z3KMAFIL6KKPVSZH","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"pith_short_8","alias_value":"Z3KMAFIL","created_at":"2026-05-21T02:05:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Z3KMAFIL6KKPVSZHKWEVHDSSJQ","target":"record","payload":{"canonical_record":{"source":{"id":"2604.25351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-04-28T08:09:50Z","cross_cats_sorted":[],"title_canon_sha256":"452526025955a03be3597f96f905f488482ebc68120f304f12553e302f9a0726","abstract_canon_sha256":"e30c57e79cbcbbe1d90ced053285f9e110590c62bc0f9bae4775f6afc5637175"},"schema_version":"1.0"},"canonical_sha256":"ced4c0150bf294facb275589538e524c2f17f4bd7b762324a231c8c487d1f844","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T02:05:03.502663Z","signature_b64":"TJlETfNt20kiHPRHkG5Fa7jWQUZMWl4XQHuSM1NfrlBk7JhGEe7hz+eDBNfzWVuKhDkeA5l9WnUtq0qltiv2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ced4c0150bf294facb275589538e524c2f17f4bd7b762324a231c8c487d1f844","last_reissued_at":"2026-05-21T02:05:03.502100Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T02:05:03.502100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2604.25351","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":"2026-05-21T02:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n+BBRsXL9Ta/W5tuxSfXTRGNFCtVJIDDTXJr5+M9PsiFj1IysLDViTUw6dYh2buP3yBsR+D7l/+q//AjLUcODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:40:40.238851Z"},"content_sha256":"7a08adcb271057218f6b3e32a2201f0cf336b3ebb270849bd89c361500eaf0f9","schema_version":"1.0","event_id":"sha256:7a08adcb271057218f6b3e32a2201f0cf336b3ebb270849bd89c361500eaf0f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Z3KMAFIL6KKPVSZHKWEVHDSSJQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Quenching three-dimensional Potts models across their first-order transition produces spinodal-like scaling of the energy density governed by droplet nucleation.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Pelissetto, Davide Rossini, Ettore Vicari","submitted_at":"2026-04-28T08:09:50Z","abstract_excerpt":"We study the out-of-equilibrium spinodal-like behavior of three-dimensional (3D) $q$-state Potts models (for $q\\ge 3$), observed when the temperature is quenched across the first-order transition (FOT) point $\\beta_{\\rm fo}=T_{\\rm fo}^{-1}$. We consider a standard quench protocol, in which high-temperature configurations, thermalized at $\\beta_i<\\beta_{\\rm fo}$, are driven across the FOT by a purely relaxational dynamics at $\\beta>\\beta_{\\rm fo}$. We focus on the emergence of spinodal-like behaviors in the thermodynamic limit, associated with the dynamic phase change. We argue that, if the nuc"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"If nucleation of smooth droplets is the relevant mechanism, the time-dependent energy density scales in terms of ρ = (ln t)^{3/2} δ, with a discontinuity at ρ=ρ_s>0. This implies a spinodal-like behavior whose time scale τ increases exponentially as ln τ ≈ (ρ_s/δ)^{2/3} as δ→0+.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that nucleation of smooth droplets is the relevant mechanism of the post-quench phase change for sufficiently small β_fo - β_i > 0.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"After a temperature quench across the first-order transition in 3D q-state Potts models, the energy density scales as a function of ρ = (ln t)^{3/2} δ with a discontinuity at ρ_s > 0, producing exponentially diverging relaxation times ln τ ≈ (ρ_s / δ)^{2/3} as δ → 0+.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Quenching three-dimensional Potts models across their first-order transition produces spinodal-like scaling of the energy density governed by droplet nucleation.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"03db97e7ba40c6cf7a99485ef42a562ff138dd10d378c39e045df1578866b1e8"},"source":{"id":"2604.25351","kind":"arxiv","version":2},"verdict":{"id":"5b88539a-66bf-4828-be53-2cf5d29dc99a","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T14:18:05.354408Z","strongest_claim":"If nucleation of smooth droplets is the relevant mechanism, the time-dependent energy density scales in terms of ρ = (ln t)^{3/2} δ, with a discontinuity at ρ=ρ_s>0. This implies a spinodal-like behavior whose time scale τ increases exponentially as ln τ ≈ (ρ_s/δ)^{2/3} as δ→0+.","one_line_summary":"After a temperature quench across the first-order transition in 3D q-state Potts models, the energy density scales as a function of ρ = (ln t)^{3/2} δ with a discontinuity at ρ_s > 0, producing exponentially diverging relaxation times ln τ ≈ (ρ_s / δ)^{2/3} as δ → 0+.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that nucleation of smooth droplets is the relevant mechanism of the post-quench phase change for sufficiently small β_fo - β_i > 0.","pith_extraction_headline":"Quenching three-dimensional Potts models across their first-order transition produces spinodal-like scaling of the energy density governed by droplet nucleation."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.25351/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T21:13:03.820141Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"790b3a24cd2b90d077119164d3136b1fe82191ec617c399ad03e2f6d18057fb0"},"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":"5b88539a-66bf-4828-be53-2cf5d29dc99a"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T02:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQA4peioh+fbM9o+ZwAFYjLox/9j7wPjfwdp6e4HXDtAkYTdUTz0aIm/qkKpYly4ZSAxiv3GBAlT2zpBcA7KDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:40:40.239903Z"},"content_sha256":"35adaedd9e0161053619270e1afafcd561d1677049657995721ba3226d632ebd","schema_version":"1.0","event_id":"sha256:35adaedd9e0161053619270e1afafcd561d1677049657995721ba3226d632ebd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z3KMAFIL6KKPVSZHKWEVHDSSJQ/bundle.json","state_url":"https://pith.science/pith/Z3KMAFIL6KKPVSZHKWEVHDSSJQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z3KMAFIL6KKPVSZHKWEVHDSSJQ/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":"2026-05-28T22:40:40Z","links":{"resolver":"https://pith.science/pith/Z3KMAFIL6KKPVSZHKWEVHDSSJQ","bundle":"https://pith.science/pith/Z3KMAFIL6KKPVSZHKWEVHDSSJQ/bundle.json","state":"https://pith.science/pith/Z3KMAFIL6KKPVSZHKWEVHDSSJQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z3KMAFIL6KKPVSZHKWEVHDSSJQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Z3KMAFIL6KKPVSZHKWEVHDSSJQ","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":"e30c57e79cbcbbe1d90ced053285f9e110590c62bc0f9bae4775f6afc5637175","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-04-28T08:09:50Z","title_canon_sha256":"452526025955a03be3597f96f905f488482ebc68120f304f12553e302f9a0726"},"schema_version":"1.0","source":{"id":"2604.25351","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.25351","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"2604.25351v2","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.25351","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"Z3KMAFIL6KKP","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"pith_short_16","alias_value":"Z3KMAFIL6KKPVSZH","created_at":"2026-05-21T02:05:03Z"},{"alias_kind":"pith_short_8","alias_value":"Z3KMAFIL","created_at":"2026-05-21T02:05:03Z"}],"graph_snapshots":[{"event_id":"sha256:35adaedd9e0161053619270e1afafcd561d1677049657995721ba3226d632ebd","target":"graph","created_at":"2026-05-21T02:05:03Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"If nucleation of smooth droplets is the relevant mechanism, the time-dependent energy density scales in terms of ρ = (ln t)^{3/2} δ, with a discontinuity at ρ=ρ_s>0. This implies a spinodal-like behavior whose time scale τ increases exponentially as ln τ ≈ (ρ_s/δ)^{2/3} as δ→0+."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The assumption that nucleation of smooth droplets is the relevant mechanism of the post-quench phase change for sufficiently small β_fo - β_i > 0."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"After a temperature quench across the first-order transition in 3D q-state Potts models, the energy density scales as a function of ρ = (ln t)^{3/2} δ with a discontinuity at ρ_s > 0, producing exponentially diverging relaxation times ln τ ≈ (ρ_s / δ)^{2/3} as δ → 0+."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Quenching three-dimensional Potts models across their first-order transition produces spinodal-like scaling of the energy density governed by droplet nucleation."}],"snapshot_sha256":"03db97e7ba40c6cf7a99485ef42a562ff138dd10d378c39e045df1578866b1e8"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T21:13:03.820141Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2604.25351/integrity.json","findings":[],"snapshot_sha256":"790b3a24cd2b90d077119164d3136b1fe82191ec617c399ad03e2f6d18057fb0","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the out-of-equilibrium spinodal-like behavior of three-dimensional (3D) $q$-state Potts models (for $q\\ge 3$), observed when the temperature is quenched across the first-order transition (FOT) point $\\beta_{\\rm fo}=T_{\\rm fo}^{-1}$. We consider a standard quench protocol, in which high-temperature configurations, thermalized at $\\beta_i<\\beta_{\\rm fo}$, are driven across the FOT by a purely relaxational dynamics at $\\beta>\\beta_{\\rm fo}$. We focus on the emergence of spinodal-like behaviors in the thermodynamic limit, associated with the dynamic phase change. We argue that, if the nuc","authors_text":"Andrea Pelissetto, Davide Rossini, Ettore Vicari","cross_cats":[],"headline":"Quenching three-dimensional Potts models across their first-order transition produces spinodal-like scaling of the energy density governed by droplet nucleation.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-04-28T08:09:50Z","title":"Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.25351","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-07T14:18:05.354408Z","id":"5b88539a-66bf-4828-be53-2cf5d29dc99a","model_set":{"reader":"grok-4.3"},"one_line_summary":"After a temperature quench across the first-order transition in 3D q-state Potts models, the energy density scales as a function of ρ = (ln t)^{3/2} δ with a discontinuity at ρ_s > 0, producing exponentially diverging relaxation times ln τ ≈ (ρ_s / δ)^{2/3} as δ → 0+.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Quenching three-dimensional Potts models across their first-order transition produces spinodal-like scaling of the energy density governed by droplet nucleation.","strongest_claim":"If nucleation of smooth droplets is the relevant mechanism, the time-dependent energy density scales in terms of ρ = (ln t)^{3/2} δ, with a discontinuity at ρ=ρ_s>0. This implies a spinodal-like behavior whose time scale τ increases exponentially as ln τ ≈ (ρ_s/δ)^{2/3} as δ→0+.","weakest_assumption":"The assumption that nucleation of smooth droplets is the relevant mechanism of the post-quench phase change for sufficiently small β_fo - β_i > 0."}},"verdict_id":"5b88539a-66bf-4828-be53-2cf5d29dc99a"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7a08adcb271057218f6b3e32a2201f0cf336b3ebb270849bd89c361500eaf0f9","target":"record","created_at":"2026-05-21T02:05:03Z","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":"e30c57e79cbcbbe1d90ced053285f9e110590c62bc0f9bae4775f6afc5637175","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-04-28T08:09:50Z","title_canon_sha256":"452526025955a03be3597f96f905f488482ebc68120f304f12553e302f9a0726"},"schema_version":"1.0","source":{"id":"2604.25351","kind":"arxiv","version":2}},"canonical_sha256":"ced4c0150bf294facb275589538e524c2f17f4bd7b762324a231c8c487d1f844","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ced4c0150bf294facb275589538e524c2f17f4bd7b762324a231c8c487d1f844","first_computed_at":"2026-05-21T02:05:03.502100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T02:05:03.502100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TJlETfNt20kiHPRHkG5Fa7jWQUZMWl4XQHuSM1NfrlBk7JhGEe7hz+eDBNfzWVuKhDkeA5l9WnUtq0qltiv2CA==","signature_status":"signed_v1","signed_at":"2026-05-21T02:05:03.502663Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.25351","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a08adcb271057218f6b3e32a2201f0cf336b3ebb270849bd89c361500eaf0f9","sha256:35adaedd9e0161053619270e1afafcd561d1677049657995721ba3226d632ebd"],"state_sha256":"a6cbbc2dca9a38df9dadf6726560ac805bd2b18886fcde0526a14e8ee94c905b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"40ZiO6lNI+TBQxpLhhv1tOrgicDusdL3PoqB8nTM7zvorcvZ6lyftUIWCWnc7EvCFBIACnZh9OQBn1yk46b2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:40:40.244557Z","bundle_sha256":"00e811c8310cdb7e0a2289997b457d1f784e7e84f55243b86bd79498d06720c8"}}