Pith Number

pith:SFC5QPQH

pith:2020:SFC5QPQHLIJJRT4Q52HKTBDKDI

not attested not anchored not stored refs pending

Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift-Hohenberg equation with multiplicative noise

Chunqiu Li, Jintao Wang, Lu Yang, Mo Jia

arxiv:2012.00271 v1 · 2020-12-01 · math.PR · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFC5QPQHLIJJRT4Q52HKTBDKDI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T08:10:52.343902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9145d83e075a1298cf90ee8ea9846a1a2a43ce20c832a857b2c60782ba91a01b

Aliases

arxiv: 2012.00271 · arxiv_version: 2012.00271v1 · doi: 10.48550/arxiv.2012.00271 · pith_short_12: SFC5QPQHLIJJ · pith_short_16: SFC5QPQHLIJJRT4Q · pith_short_8: SFC5QPQH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SFC5QPQHLIJJRT4Q52HKTBDKDI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9145d83e075a1298cf90ee8ea9846a1a2a43ce20c832a857b2c60782ba91a01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64106a48a5f6bd403117c946515df292683a59ba88ed51ee7b9e17cc23853404",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-12-01T05:13:15Z",
    "title_canon_sha256": "db078efcdf9c13f63f00ffb2581d27c0cf2bf5cf0568775fbbf15a727b35d561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.00271",
    "kind": "arxiv",
    "version": 1
  }
}