Pith Number

pith:UDKUDDSB

pith:2026:UDKUDDSBKEDD4KW6RXW5QPXINO

not attested not anchored not stored refs pending

Entropy additivity from exponential decay of correlations: a coarse-grained operator approach

Bob Osano

arxiv:2605.17956 v1 · 2026-05-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDKUDDSBKEDD4KW6RXW5QPXINO}

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	2026-05-20T00:05:08.021251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d5418e4151063e2ade8dedd83ee86b860c60ecddec380974bfaf2a683ab7c9

Aliases

arxiv: 2605.17956 · arxiv_version: 2605.17956v1 · doi: 10.48550/arxiv.2605.17956 · pith_short_12: UDKUDDSBKEDD · pith_short_16: UDKUDDSBKEDD4KW6 · pith_short_8: UDKUDDSB

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/UDKUDDSBKEDD4KW6RXW5QPXINO \
  | 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: a0d5418e4151063e2ade8dedd83ee86b860c60ecddec380974bfaf2a683ab7c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98857572d74f39daf8a1148f3851492c33e39971e46fbaf68118116209399c77",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-18T07:12:09Z",
    "title_canon_sha256": "29e424c881b8d302f4d4c907c509927a0a00a4cbab00d977e67fe60fb96bfff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17956",
    "kind": "arxiv",
    "version": 1
  }
}