Pith Number

pith:KTTSVDRO

pith:2011:KTTSVDROAQLEIZROLCS5BOLH3M

not attested not anchored not stored refs pending

Approximation of invariant foliations for stochastic dynamical systems

Jinqiao Duan, Xingye Kan, Xu Sun

arxiv:1111.6388 v1 · 2011-11-28 · 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{KTTSVDROAQLEIZROLCS5BOLH3M}

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	2026-05-18T04:07:30.177803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e72a8e2e041644662e58a5d0b967db19cea2eb5d449e7a4a3f719733acb61f

Aliases

arxiv: 1111.6388 · arxiv_version: 1111.6388v1 · doi: 10.48550/arxiv.1111.6388 · pith_short_12: KTTSVDROAQLE · pith_short_16: KTTSVDROAQLEIZRO · pith_short_8: KTTSVDRO

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/KTTSVDROAQLEIZROLCS5BOLH3M \
  | 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: 54e72a8e2e041644662e58a5d0b967db19cea2eb5d449e7a4a3f719733acb61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edaf458a7cad35cfbcbe4b98e1728581bf7580f0cfceaa30d5cd11864fae82ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-28T10:11:25Z",
    "title_canon_sha256": "4fc412bd16eb791d3c75e3637931bf5d6294a94300f3ca84a9bd4208f934b224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6388",
    "kind": "arxiv",
    "version": 1
  }
}