Pith Number

pith:G5KCHDPK

pith:2025:G5KCHDPKHG6SDHEIKXCGL7L5DW

not attested not anchored not stored refs pending

An abstract criterion on the existence and global stability of stationary solutions for random dynamical systems and its applications

Xiang Lv

arxiv:2508.08497 v1 · 2025-08-11 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5KCHDPKHG6SDHEIKXCGL7L5DW}

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	2026-07-05T11:52:29.563755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3754238dea39bd219c8855c465fd7d1d9ce75f44fa27d7215420702a25e968c6

Aliases

arxiv: 2508.08497 · arxiv_version: 2508.08497v1 · doi: 10.48550/arxiv.2508.08497 · pith_short_12: G5KCHDPKHG6S · pith_short_16: G5KCHDPKHG6SDHEI · pith_short_8: G5KCHDPK

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/G5KCHDPKHG6SDHEIKXCGL7L5DW \
  | 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: 3754238dea39bd219c8855c465fd7d1d9ce75f44fa27d7215420702a25e968c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f90f5b63c1ee42506ae8ae5207eaa00e97a785629a4acace7b3ae00f753c3aa",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-08-11T22:05:47Z",
    "title_canon_sha256": "f91dc598941b77d480d36a966984aa83d9eb3efc5403a88bebfad0350f2e7816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08497",
    "kind": "arxiv",
    "version": 1
  }
}