Pith Number

pith:ZWN6H6NV

pith:2006:ZWN6H6NVDC32OEJJC7MMBSNU6A

not attested not anchored not stored refs pending

On the averaging principle for one-frequency systems. Seminorm estimates for the error

Carlo Morosi (Politecnico di Milano), Livio Pizzocchero (Universita' di Milano)

arxiv:math-ph/0609037 v2 · 2006-09-13 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWN6H6NVDC32OEJJC7MMBSNU6A}

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	2026-05-18T04:28:28.610892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9be3f9b518b7a7112917d8c0c9b4f00c1a9dfce8c3d8441e3838f459cf5be2

Aliases

arxiv: math-ph/0609037 · arxiv_version: math-ph/0609037v2 · doi: 10.48550/arxiv.math-ph/0609037 · pith_short_12: ZWN6H6NVDC32 · pith_short_16: ZWN6H6NVDC32OEJJ · pith_short_8: ZWN6H6NV

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/ZWN6H6NVDC32OEJJC7MMBSNU6A \
  | 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: cd9be3f9b518b7a7112917d8c0c9b4f00c1a9dfce8c3d8441e3838f459cf5be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e0da4cd998c73f63149c8a7b24ec9f85834515e72e2196e47c2b760d82cb8d",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2006-09-13T08:33:51Z",
    "title_canon_sha256": "e39b36757fe73dcd1c17db05350f6937f6de516fdcc0321710c9d623003a47af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0609037",
    "kind": "arxiv",
    "version": 2
  }
}