Pith Number

pith:3FFDXJGU

pith:2012:3FFDXJGUEBNQ6L3KO7BKSC2YGC

not attested not anchored not stored refs pending

Sufficient and Necessary Criteria for Existence of Pullback Attractors for Non-compact Random Dynamical Systems

Bixiang Wang

arxiv:1202.2390 v2 · 2012-02-10 · 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{3FFDXJGUEBNQ6L3KO7BKSC2YGC}

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	2026-05-18T03:57:24.437459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94a3ba4d4205b0f2f6a77c2a90b5830b42235a8fbe949ca36fd8e10813bbd38

Aliases

arxiv: 1202.2390 · arxiv_version: 1202.2390v2 · doi: 10.48550/arxiv.1202.2390 · pith_short_12: 3FFDXJGUEBNQ · pith_short_16: 3FFDXJGUEBNQ6L3K · pith_short_8: 3FFDXJGU

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/3FFDXJGUEBNQ6L3KO7BKSC2YGC \
  | 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: d94a3ba4d4205b0f2f6a77c2a90b5830b42235a8fbe949ca36fd8e10813bbd38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2cad34ec90ec003005e484a93fb3f83bd3537796b07a72ddd741484fe3db01a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-10T23:52:34Z",
    "title_canon_sha256": "c318354b081506627d606e0444be58438a073c2d874a96b45c227fd0adf9714c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2390",
    "kind": "arxiv",
    "version": 2
  }
}