Pith Number

pith:D44IOPMD

pith:2012:D44IOPMDFA3UUDCNIG2C2HCCDE

not attested not anchored not stored refs pending

Topological equivalence for discontinuous random dynamical systems and applications

Huijie Qiao, Jinqiao Duan

arxiv:1210.0675 v1 · 2012-10-02 · 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{D44IOPMDFA3UUDCNIG2C2HCCDE}

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	2026-05-18T03:44:14.536578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f38873d8328374a0c4d41b42d1c421937aa531dd10399ee060c526cf1ca98d1

Aliases

arxiv: 1210.0675 · arxiv_version: 1210.0675v1 · doi: 10.48550/arxiv.1210.0675 · pith_short_12: D44IOPMDFA3U · pith_short_16: D44IOPMDFA3UUDCN · pith_short_8: D44IOPMD

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/D44IOPMDFA3UUDCNIG2C2HCCDE \
  | 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: 1f38873d8328374a0c4d41b42d1c421937aa531dd10399ee060c526cf1ca98d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39570e7a8ef0bea9e5a424a5ac3bcaf9f360d668a1f24c8bb65054c5b83939dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-02T07:06:09Z",
    "title_canon_sha256": "d5b03ce0a845e3ea013caab8b2a6de68502fbe35a89f0358b1930cfb2611424f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0675",
    "kind": "arxiv",
    "version": 1
  }
}