Pith Number

pith:VKZZHZ6R

pith:2018:VKZZHZ6RZX5LLHMAQUWF5TZO64

not attested not anchored not stored refs pending

Pointwise convergence of Birkhoff averages for global observables

Marco Lenci, Sara Munday

arxiv:1804.05359 v2 · 2018-04-15 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKZZHZ6RZX5LLHMAQUWF5TZO64}

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	2026-05-18T00:06:28.801192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aab393e7d1cdfab59d80852c5ecf2ef73e2b313d0843cb5df1e5e381d5e0c9d1

Aliases

arxiv: 1804.05359 · arxiv_version: 1804.05359v2 · doi: 10.48550/arxiv.1804.05359 · pith_short_12: VKZZHZ6RZX5L · pith_short_16: VKZZHZ6RZX5LLHMA · pith_short_8: VKZZHZ6R

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/VKZZHZ6RZX5LLHMAQUWF5TZO64 \
  | 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: aab393e7d1cdfab59d80852c5ecf2ef73e2b313d0843cb5df1e5e381d5e0c9d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c35ca461727b73579b36e9fb11c87f44637be84faeb858aecaedb03d68eaf9",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-15T13:45:08Z",
    "title_canon_sha256": "04a7ce3ad16482bad02cb6a11dc4d07ad2b6a16a5f18bb4411c7c22bee0b51ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05359",
    "kind": "arxiv",
    "version": 2
  }
}