Pith Number

pith:CNY4K2ML

pith:2026:CNY4K2ML7K7ET2FZHXFWFHHPMI

not attested not anchored not stored refs pending

A Thomson-type variational principle for diffusion coefficients

Assaf Shapira

arxiv:2606.04636 v1 · 2026-06-03 · math.PR · 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{CNY4K2ML7K7ET2FZHXFWFHHPMI}

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	2026-06-04T01:09:22.412179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1371c5698bfabe49e8b93dcb629cef62317750a536bcc12077837953c49ec126

Aliases

arxiv: 2606.04636 · arxiv_version: 2606.04636v1 · doi: 10.48550/arxiv.2606.04636 · pith_short_12: CNY4K2ML7K7E · pith_short_16: CNY4K2ML7K7ET2FZ · pith_short_8: CNY4K2ML

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/CNY4K2ML7K7ET2FZHXFWFHHPMI \
  | 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: 1371c5698bfabe49e8b93dcb629cef62317750a536bcc12077837953c49ec126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8eef0530fab32662653a9fdc67e2612a401925dea8a8b90c103fd42ee09d301",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-03T09:07:51Z",
    "title_canon_sha256": "4610d1590026a3e56350edd8187ccc67cff5d92fcd893bbb11d5e451334397cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04636",
    "kind": "arxiv",
    "version": 1
  }
}