Pith Number

pith:CEC4L6LW

pith:2015:CEC4L6LWUNNVW6NW24IVOT7PWX

not attested not anchored not stored refs pending

Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems

A. Korepanov, I. Melbourne, Z. Kosloff

arxiv:1509.06772 v3 · 2015-09-22 · 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{CEC4L6LWUNNVW6NW24IVOT7PWX}

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	2026-05-18T00:45:22.642428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1105c5f976a35b5b79b6d711574fefb5d9ab4c08e69803a350c1019beedf4411

Aliases

arxiv: 1509.06772 · arxiv_version: 1509.06772v3 · doi: 10.48550/arxiv.1509.06772 · pith_short_12: CEC4L6LWUNNV · pith_short_16: CEC4L6LWUNNVW6NW · pith_short_8: CEC4L6LW

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/CEC4L6LWUNNVW6NW24IVOT7PWX \
  | 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: 1105c5f976a35b5b79b6d711574fefb5d9ab4c08e69803a350c1019beedf4411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1316c8df0730ca8cf9ce1f453361ad80a7ed51cac8f656a649870156cce9d90b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-22T20:31:41Z",
    "title_canon_sha256": "8b06bf2b327e85c2061571a2fbd18bbbfbf535a33721c93d3b8796ce244dc85d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06772",
    "kind": "arxiv",
    "version": 3
  }
}