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Pith Number

pith:GFTMK2G2

pith:2016:GFTMK2G23MYK2DRBPP2IA23DRN
not attested not anchored not stored refs pending

Asymptotic expansion based equation of state for hard-disk fluids offering accurate virial coefficients

A. Mulero, Jianxiang Tian, Yuanxing Gui

arxiv:1606.07179 v1 · 2016-06-23 · physics.chem-ph · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GFTMK2G23MYK2DRBPP2IA23DRN}

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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 2026-05-18T01:11:57.464400Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3166c568dadb30ad0e217bf4806b638b4defcb84b4ce8393820f11c68908261f

Aliases

arxiv: 1606.07179 · arxiv_version: 1606.07179v1 · doi: 10.48550/arxiv.1606.07179 · pith_short_12: GFTMK2G23MYK · pith_short_16: GFTMK2G23MYK2DRB · pith_short_8: GFTMK2G2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GFTMK2G23MYK2DRBPP2IA23DRN \
  | 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: 3166c568dadb30ad0e217bf4806b638b4defcb84b4ce8393820f11c68908261f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "af7c0f10471d0bcb6c3029aa4dcdeceb8a8980116be052d12f3efdd0e20ab8d9",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2016-06-23T04:31:05Z",
    "title_canon_sha256": "0fd1c2604ae9ff0be320333c9f8b19d1ab5fdfbb8352e4fca13d29b0378b3c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07179",
    "kind": "arxiv",
    "version": 1
  }
}