Pith Number

pith:A75XUILN

pith:2019:A75XUILNV23A64KOCRODVERNXT

not attested not anchored not stored refs pending

Dispersion of the Arnold's asymptotic ergodic Hopf invariant and a formula for its calculation

I. V. Vyugin, P. M. Akhmet'ev

arxiv:1906.12131 v1 · 2019-06-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A75XUILNV23A64KOCRODVERNXT}

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	2026-05-17T23:41:59.193922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07fb7a216daeb60f714e145c3a922dbcfc7c60a6c316309d150080926ab81761

Aliases

arxiv: 1906.12131 · arxiv_version: 1906.12131v1 · doi: 10.48550/arxiv.1906.12131 · pith_short_12: A75XUILNV23A · pith_short_16: A75XUILNV23A64KO · pith_short_8: A75XUILN

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/A75XUILNV23A64KOCRODVERNXT \
  | 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: 07fb7a216daeb60f714e145c3a922dbcfc7c60a6c316309d150080926ab81761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23510d152147fd9d78ab1d5c40604718733bbee0bad2ebebceb6509b5ee5c583",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-28T11:08:08Z",
    "title_canon_sha256": "f6f917c5bfd78c208ce2aa66d16417b397580274d3e1bc447ae3346c98cd0bc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12131",
    "kind": "arxiv",
    "version": 1
  }
}