Pith Number

pith:XHM6FJHB

pith:2025:XHM6FJHB2L3EP2W4CD36O3UM4J

not attested not anchored not stored refs pending

Multi-parameter isospectral Fokker-Planck equations

Choon-Lin Ho

arxiv:2506.12939 v2 · 2025-06-15 · math-ph · cond-mat.stat-mech · gr-qc · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHM6FJHB2L3EP2W4CD36O3UM4J}

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	2026-07-05T11:26:52.765179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d9e2a4e1d2f647eadc10f7e76e8ce26cd63a3dc2cf518dfa8a258f30ef36e0

Aliases

arxiv: 2506.12939 · arxiv_version: 2506.12939v2 · doi: 10.48550/arxiv.2506.12939 · pith_short_12: XHM6FJHB2L3E · pith_short_16: XHM6FJHB2L3EP2W4 · pith_short_8: XHM6FJHB

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/XHM6FJHB2L3EP2W4CD36O3UM4J \
  | 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: b9d9e2a4e1d2f647eadc10f7e76e8ce26cd63a3dc2cf518dfa8a258f30ef36e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2041f4720822e706528c53002fb76d86d02ef99eff5731d31398b89acfdf79d8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-15T18:51:11Z",
    "title_canon_sha256": "0fce033e869cbfd183cdf0c7ff0596e907df7606d9f326b7a4b4a645fe032e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12939",
    "kind": "arxiv",
    "version": 2
  }
}