Pith Number

pith:67VBGR52

pith:2012:67VBGR52BJ7LWHJAFO3HF74ZNZ

not attested not anchored not stored refs pending

Existence and Upper Semicontinuity of Attractors for Stochastic Equations with Deterministic Non-autonomous Terms

Bixiang Wang

arxiv:1205.4658 v1 · 2012-05-21 · 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{67VBGR52BJ7LWHJAFO3HF74ZNZ}

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	2026-05-18T03:55:12.654944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ea1347ba0a7ebb1d202bb672ff996e6b8c16aa60a32b6ab7c125eaddb4d4a6

Aliases

arxiv: 1205.4658 · arxiv_version: 1205.4658v1 · doi: 10.48550/arxiv.1205.4658 · pith_short_12: 67VBGR52BJ7L · pith_short_16: 67VBGR52BJ7LWHJA · pith_short_8: 67VBGR52

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/67VBGR52BJ7LWHJAFO3HF74ZNZ \
  | 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: f7ea1347ba0a7ebb1d202bb672ff996e6b8c16aa60a32b6ab7c125eaddb4d4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f141e283674e7725f62d2ce0eaf544f2bf783b56594e55221f82bdc5c8bc471",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-21T16:45:47Z",
    "title_canon_sha256": "83a8568c81927f0931374a9fea5565fa4802d7187173e30bf662bb136acf02e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4658",
    "kind": "arxiv",
    "version": 1
  }
}