Pith Number

pith:HX6U5EBM

pith:2011:HX6U5EBMAR2PHRSB55LCGF45U4

not attested not anchored not stored refs pending

Deriving the Rosenfeld Functional from the Virial Expansion

Stephan Korden

arxiv:1111.5222 v2 · 2011-11-22 · math-ph · cond-mat.soft · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HX6U5EBMAR2PHRSB55LCGF45U4}

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	2026-05-18T03:23:01.216749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dfd4e902c0474f3c641ef5623179da70f0e7e378bdcd626f66d49fa43fdd6ca

Aliases

arxiv: 1111.5222 · arxiv_version: 1111.5222v2 · doi: 10.48550/arxiv.1111.5222 · pith_short_12: HX6U5EBMAR2P · pith_short_16: HX6U5EBMAR2PHRSB · pith_short_8: HX6U5EBM

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/HX6U5EBMAR2PHRSB55LCGF45U4 \
  | 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: 3dfd4e902c0474f3c641ef5623179da70f0e7e378bdcd626f66d49fa43fdd6ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b3773e864ecab9d3798d8d1770288976bf80674ff3f4b54bafafb4de9f777b",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-22T15:31:50Z",
    "title_canon_sha256": "1feb82f7d0c3bbdd738c31b809eb62bfd1f888e21028b9cc7b090d8e7ef4699f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5222",
    "kind": "arxiv",
    "version": 2
  }
}