Pith Number

pith:IK3HMFYP

pith:2012:IK3HMFYP6NPL6KLOUD67HEKTRW

not attested not anchored not stored refs pending

Small noise approximation of center manifolds for stochastic dynamical systems

Jian Ren, Xiangjun Wang, Xianming Liu, Zhongkai Guo

arxiv:1208.5200 v3 · 2012-08-26 · 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{IK3HMFYP6NPL6KLOUD67HEKTRW}

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	2026-05-18T03:31:29.519790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42b676170ff35ebf296ea0fdf391538dbdf8aea6308b1bb5df79ab69b0e58f5b

Aliases

arxiv: 1208.5200 · arxiv_version: 1208.5200v3 · doi: 10.48550/arxiv.1208.5200 · pith_short_12: IK3HMFYP6NPL · pith_short_16: IK3HMFYP6NPL6KLO · pith_short_8: IK3HMFYP

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/IK3HMFYP6NPL6KLOUD67HEKTRW \
  | 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: 42b676170ff35ebf296ea0fdf391538dbdf8aea6308b1bb5df79ab69b0e58f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ddca8eb482d9d217f9679c280a144d97e79fbc1b205aa5f059a41d50150653e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-26T08:31:23Z",
    "title_canon_sha256": "75f2435ccedcec1260596d630d1894f7b2743d6f484e5456f859d40dd5b6008b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5200",
    "kind": "arxiv",
    "version": 3
  }
}