Pith Number

pith:LDPDG4WO

pith:2026:LDPDG4WOQGVUQKG4KMWLJNMKHJ

not attested not anchored not stored refs pending

A Phase Space Criterion for Dynamical Amrein-Berthier Uncertainty

Diego Fiorletta, Fabio Nicola, Piero D'Ancona

arxiv:2606.10691 v1 · 2026-06-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDPDG4WOQGVUQKG4KMWLJNMKHJ}

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	2026-06-10T01:10:34.496076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58de3372ce81ab4828dc532cb4b58a3a6a6a034a5a361dc4b4ef258d864679c0

Aliases

arxiv: 2606.10691 · arxiv_version: 2606.10691v1 · doi: 10.48550/arxiv.2606.10691 · pith_short_12: LDPDG4WOQGVU · pith_short_16: LDPDG4WOQGVUQKG4 · pith_short_8: LDPDG4WO

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/LDPDG4WOQGVUQKG4KMWLJNMKHJ \
  | 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: 58de3372ce81ab4828dc532cb4b58a3a6a6a034a5a361dc4b4ef258d864679c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe4d71b4aca479c1e4c32b497e56f7c9b390c2ba8fecba169ae795aa89a53b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-09T10:48:56Z",
    "title_canon_sha256": "87f316cc233c581818db2c6c606fbef059f390267301282538360e3b04d2bc39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10691",
    "kind": "arxiv",
    "version": 1
  }
}