Pith. sign in
Pith Number

pith:W2VEAS7H

pith:2025:W2VEAS7HMDP6K5PZPSGHBKRZPB
not attested not anchored not stored refs pending

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN

Allen Lobo

arxiv:2506.14804 v1 · 2025-06-03 · physics.data-an · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W2VEAS7HMDP6K5PZPSGHBKRZPB}

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 2026-07-05T11:23:31.816186Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b6aa404be760dfe575f97c8c70aa3978545e4b083426fd36e8fe407f84309f59

Aliases

arxiv: 2506.14804 · arxiv_version: 2506.14804v1 · doi: 10.48550/arxiv.2506.14804 · pith_short_12: W2VEAS7HMDP6 · pith_short_16: W2VEAS7HMDP6K5PZ · pith_short_8: W2VEAS7H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W2VEAS7HMDP6K5PZPSGHBKRZPB \
  | 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: b6aa404be760dfe575f97c8c70aa3978545e4b083426fd36e8fe407f84309f59
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "30a53cfcc49b22160a09ec48d77a4f90572a7a77e64b0bdfd5dcd725b2e46ecb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2025-06-03T07:03:04Z",
    "title_canon_sha256": "125771329690a7233d324f96b228902a1eef934943455c7ecf1cc27415185cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14804",
    "kind": "arxiv",
    "version": 1
  }
}