Pith Number

pith:MREXHTWP

pith:2014:MREXHTWPN5KTYW2UKFNAYJJ4CA

not attested not anchored not stored refs pending

The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor

Martin Rasmussen, Peter E. Kloeden, Thai Son Doan

arxiv:1403.1068 v1 · 2014-03-05 · 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{MREXHTWPN5KTYW2UKFNAYJJ4CA}

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	2026-05-18T02:57:00.649863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644973cecf6f553c5b54515a0c253c10191c6e438740b42b4735557574c17484

Aliases

arxiv: 1403.1068 · arxiv_version: 1403.1068v1 · doi: 10.48550/arxiv.1403.1068 · pith_short_12: MREXHTWPN5KT · pith_short_16: MREXHTWPN5KTYW2U · pith_short_8: MREXHTWP

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/MREXHTWPN5KTYW2UKFNAYJJ4CA \
  | 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: 644973cecf6f553c5b54515a0c253c10191c6e438740b42b4735557574c17484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3021612be1d872ae84c69946ee9e1e2fd5401af1b9f141b81b8806b11ca5439",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-05T10:28:28Z",
    "title_canon_sha256": "0682741cbab9cc9ae1ab5bf38c21ddd5f268c27bcd71ca0627202ee4eeeac807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1068",
    "kind": "arxiv",
    "version": 1
  }
}