Pith Number

pith:CYZRYR2E

pith:2004:CYZRYR2E2B5NT7GCB3SOYMI3O6

not attested not anchored not stored refs pending

The entropy multiparticle-correlation expansion for a mixture of spherical and elongated particles

P. V. Giaquinta, S. Prestipino

arxiv:cond-mat/0412428 v1 · 2004-12-16 · 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{CYZRYR2E2B5NT7GCB3SOYMI3O6}

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	2026-05-18T04:10:24.092813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16331c4744d07ad9fcc20ee4ec311b77a41cb96503448fe18da177290ad73f21

Aliases

arxiv: cond-mat/0412428 · arxiv_version: cond-mat/0412428v1 · doi: 10.48550/arxiv.cond-mat/0412428 · pith_short_12: CYZRYR2E2B5N · pith_short_16: CYZRYR2E2B5NT7GC · pith_short_8: CYZRYR2E

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/CYZRYR2E2B5NT7GCB3SOYMI3O6 \
  | 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: 16331c4744d07ad9fcc20ee4ec311b77a41cb96503448fe18da177290ad73f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc3e55e49f778489c5edffc3ee3ac04f58619b79a3975d698cdf84c6ef882d95",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-12-16T10:37:24Z",
    "title_canon_sha256": "2dc6e8617e05912f00fd717c38c0dcdbf640f24509e25326fd8f4d1ea8f3d2d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0412428",
    "kind": "arxiv",
    "version": 1
  }
}