Pith Number

pith:HRPW25A5

pith:2025:HRPW25A5JSRT2JYLLQXMDWAMID

not attested not anchored not stored refs pending

Hierarchical Maximum Entropy via the Renormalization Group

Amir R. Asadi

arxiv:2509.01424 v1 · 2025-09-01 · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRPW25A5JSRT2JYLLQXMDWAMID}

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	2026-07-05T12:03:00.695592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5f6d741d4ca33d270b5c2ec1d80c40f6d1f582a2c3ed48ee3bbe947187409b

Aliases

arxiv: 2509.01424 · arxiv_version: 2509.01424v1 · doi: 10.48550/arxiv.2509.01424 · pith_short_12: HRPW25A5JSRT · pith_short_16: HRPW25A5JSRT2JYL · pith_short_8: HRPW25A5

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/HRPW25A5JSRT2JYLLQXMDWAMID \
  | 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: 3c5f6d741d4ca33d270b5c2ec1d80c40f6d1f582a2c3ed48ee3bbe947187409b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0726c13c0cee8f7c997b375451f737ffc496c9e8540a6b9bfbf1b04588d34b",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-09-01T12:30:23Z",
    "title_canon_sha256": "cc80386ef3aef303609ea979220f7a2dd7f1f9613282e3b1d12d22feee9b54ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01424",
    "kind": "arxiv",
    "version": 1
  }
}