Pith Number

pith:JYQP5NM6

pith:2016:JYQP5NM6MYODWNYBNPQK475FGG

not attested not anchored not stored refs pending

New Closed Virial Equation of State for Hard-Sphere Fluids

Angel Mulero, Jianxiang Tian, Yuanxing Gui

arxiv:1606.07181 v1 · 2016-06-23 · physics.chem-ph · 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{JYQP5NM6MYODWNYBNPQK475FGG}

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	2026-05-18T01:11:07.895825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e20feb59e661c3b37016be0ae7fa5319644ba27eebe61638a5dbe3bfe780660

Aliases

arxiv: 1606.07181 · arxiv_version: 1606.07181v1 · doi: 10.48550/arxiv.1606.07181 · pith_short_12: JYQP5NM6MYOD · pith_short_16: JYQP5NM6MYODWNYB · pith_short_8: JYQP5NM6

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/JYQP5NM6MYODWNYBNPQK475FGG \
  | 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: 4e20feb59e661c3b37016be0ae7fa5319644ba27eebe61638a5dbe3bfe780660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff46ada4dc3c0829888a28583460c5e3780cb93357210516db8872acacff49c0",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2016-06-23T04:42:38Z",
    "title_canon_sha256": "0e1bcf6dd02a6888157ff743551cf15d5956549d609bbff8b931c8851345e344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07181",
    "kind": "arxiv",
    "version": 1
  }
}