Pith Number

pith:22YKODGX

pith:2009:22YKODGXUU7M3GH3LKB7OSOMC3

not attested not anchored not stored refs pending

The virial expansion of a classical interacting system

Diptiman Sen, M. V. N. Murthy, R. K. Bhaduri

arxiv:0908.3093 v2 · 2009-08-21 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22YKODGXUU7M3GH3LKB7OSOMC3}

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	2026-05-18T02:12:24.313676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b0a70cd7a53ecd98fb5a83f749cc16e9195dc02f63052c34d0c848189f21c0

Aliases

arxiv: 0908.3093 · arxiv_version: 0908.3093v2 · doi: 10.48550/arxiv.0908.3093 · pith_short_12: 22YKODGXUU7M · pith_short_16: 22YKODGXUU7M3GH3 · pith_short_8: 22YKODGX

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/22YKODGXUU7M3GH3LKB7OSOMC3 \
  | 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: d6b0a70cd7a53ecd98fb5a83f749cc16e9195dc02f63052c34d0c848189f21c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6681e1039610f729d071eee94f70225ee7c3ff87c097fc1fa503065f9e20c1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-08-21T10:48:30Z",
    "title_canon_sha256": "3b2843a00c3f4f3660e64e9cdde48934c378157503e524af4f2321c9d0b9361a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3093",
    "kind": "arxiv",
    "version": 2
  }
}