Pith Number

pith:2ZV5MYMO

pith:2016:2ZV5MYMONAQT2ZUAEKL4NRKZXJ

not attested not anchored not stored refs pending

Free-energy functional of the Debye-H\"uckel model of simple fluids

R. Piron, T. Blenski

arxiv:1608.08430 v2 · 2016-08-30 · physics.plasm-ph · 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{2ZV5MYMONAQT2ZUAEKL4NRKZXJ}

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	2026-05-18T00:53:59.095015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66bd6618e68213d66802297c6c559ba783d7d0820acccd71a1470b149a2a605

Aliases

arxiv: 1608.08430 · arxiv_version: 1608.08430v2 · doi: 10.48550/arxiv.1608.08430 · pith_short_12: 2ZV5MYMONAQT · pith_short_16: 2ZV5MYMONAQT2ZUA · pith_short_8: 2ZV5MYMO

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/2ZV5MYMONAQT2ZUAEKL4NRKZXJ \
  | 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: d66bd6618e68213d66802297c6c559ba783d7d0820acccd71a1470b149a2a605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d24852b6affa1b51cdabf39c89bc694dcae812bd81234aace985721f00cfd645",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2016-08-30T12:57:03Z",
    "title_canon_sha256": "03955a4333ebf2d931b99f3d9afdd28d3828c79e5878c1d42d539ccce7c95fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08430",
    "kind": "arxiv",
    "version": 2
  }
}