Pith Number

pith:RD2NKW7G

pith:2000:RD2NKW7G3IJSVKMEO4SMX6QXOQ

not attested not anchored not stored refs pending

Second Cluster Integral and Excluded Volume Effects for the Pion Gas

A. Kostyuk, H. Stoecker, M. Gorenstein, W. Greiner

arxiv:hep-ph/0004163 v3 · 2000-04-17 · hep-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{RD2NKW7G3IJSVKMEO4SMX6QXOQ}

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	2026-07-04T16:20:06.656877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88f4d55be6da132aa9847724cbfa177435b96304d12cebe99f97c8d2d67357a8

Aliases

arxiv: hep-ph/0004163 · arxiv_version: hep-ph/0004163v3 · doi: 10.48550/arxiv.hep-ph/0004163 · pith_short_12: RD2NKW7G3IJS · pith_short_16: RD2NKW7G3IJSVKME · pith_short_8: RD2NKW7G

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/RD2NKW7G3IJSVKMEO4SMX6QXOQ \
  | 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: 88f4d55be6da132aa9847724cbfa177435b96304d12cebe99f97c8d2d67357a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d076b699252f8a534019c548e7d43d1151f62aca7d9520acb1739ce1ac86c551",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-04-17T13:05:09Z",
    "title_canon_sha256": "c52658170b489bd831ee19919ddc06dea671c2c1f0d01dac89ceaa23c121b98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0004163",
    "kind": "arxiv",
    "version": 3
  }
}