Pith Number

pith:OLLGISYJ

pith:2014:OLLGISYJCRXGEZQ3IWCCQVOVCA

not attested not anchored not stored refs pending

McMillan-Mayer Theory of Solutions Revisited: Simplifications and Extensions

Bruno Tomberli, C.G.Gray, Shaghayegh Vafaei

arxiv:1406.1523 v2 · 2014-06-05 · 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{OLLGISYJCRXGEZQ3IWCCQVOVCA}

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	2026-05-18T01:43:01.718073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d6644b09146e62661b45842855d510366420cc332ca4bd4e28644f58831ca9

Aliases

arxiv: 1406.1523 · arxiv_version: 1406.1523v2 · doi: 10.48550/arxiv.1406.1523 · pith_short_12: OLLGISYJCRXG · pith_short_16: OLLGISYJCRXGEZQ3 · pith_short_8: OLLGISYJ

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/OLLGISYJCRXGEZQ3IWCCQVOVCA \
  | 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: 72d6644b09146e62661b45842855d510366420cc332ca4bd4e28644f58831ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43437c37681bf83f13d8a834d9e8d8c80b42211e495fc033e5825d5c5e73bd02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2014-06-05T21:04:10Z",
    "title_canon_sha256": "05f687b02b993252a5990057bfe182a549431f0f2eb3473094e96313d68a0c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1523",
    "kind": "arxiv",
    "version": 2
  }
}