Pith Number

pith:QFBB5675

pith:2015:QFBB56754KLVL7EZRPSGLGXAHH

not attested not anchored not stored refs pending

The free energy of a liquid when viewed as a population of overlapping clusters

Peter Harrowell, Pierre Ronceray

arxiv:1510.03073 v2 · 2015-10-11 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFBB56754KLVL7EZRPSGLGXAHH}

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	2026-05-18T01:12:40.469437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81421efbfde29755fc998be4659ae039e68e76f807a77227757968839053a679

Aliases

arxiv: 1510.03073 · arxiv_version: 1510.03073v2 · doi: 10.48550/arxiv.1510.03073 · pith_short_12: QFBB56754KLV · pith_short_16: QFBB56754KLVL7EZ · pith_short_8: QFBB5675

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/QFBB56754KLVL7EZRPSGLGXAHH \
  | 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: 81421efbfde29755fc998be4659ae039e68e76f807a77227757968839053a679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c3d588fb03697743be4b8b5b3765f46c6624d4669f4c349f86b82699d00e5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2015-10-11T16:16:50Z",
    "title_canon_sha256": "8fb14341399a7dd7de39c5383744c9674aed32453765a225be076d4c169de105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03073",
    "kind": "arxiv",
    "version": 2
  }
}