Pith Number

pith:67V2LYHM

pith:2026:67V2LYHMTHOOFHUHAUTWT2G2SB

not attested not anchored not stored refs pending

Exact Expressions of Entropy for Classical Non-interacting Many-body Systems

Henrik Heelweg, Rigel Galgana, Yuheng Wu

arxiv:2608.11104 v1 · 2026-08-11 · cond-mat.stat-mech · physics.chem-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{67V2LYHMTHOOFHUHAUTWT2G2SB}

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	2026-08-12T01:24:36.972485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7eba5e0ec99dce29e87052769e8da90527e7e17333e9187ce2c4a9292100893

Aliases

arxiv: 2608.11104 · arxiv_version: 2608.11104v1 · doi: 10.48550/arxiv.2608.11104 · pith_short_12: 67V2LYHMTHOO · pith_short_16: 67V2LYHMTHOOFHUH · pith_short_8: 67V2LYHM

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/67V2LYHMTHOOFHUHAUTWT2G2SB \
  | 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: f7eba5e0ec99dce29e87052769e8da90527e7e17333e9187ce2c4a9292100893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285fdcef9536c2ee381aa26df967f0cc6f13d5003df42d1756c9dccb094d1fc5",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-11T16:14:59Z",
    "title_canon_sha256": "bd969784d653905c06019b6868956f03ee3af86c45ce10b36fc32bc1da879143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11104",
    "kind": "arxiv",
    "version": 1
  }
}