Pith Number

pith:Z3B2ROCM

pith:2012:Z3B2ROCMK7URIEQ5BNFG2IVSBN

not attested not anchored not stored refs pending

Macroscopic approximation to relativistic kinetic theory from a nonlinear closure

E. Calzetta, J. Peralta-Ramos

arxiv:1212.0824 v2 · 2012-12-04 · nucl-th · hep-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3B2ROCMK7URIEQ5BNFG2IVSBN}

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	2026-05-18T01:52:47.777969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec3a8b84c57e914121d0b4a6d22b20b558c6f694bebd4f5643e7ea667119e52

Aliases

arxiv: 1212.0824 · arxiv_version: 1212.0824v2 · doi: 10.48550/arxiv.1212.0824 · pith_short_12: Z3B2ROCMK7UR · pith_short_16: Z3B2ROCMK7URIEQ5 · pith_short_8: Z3B2ROCM

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/Z3B2ROCMK7URIEQ5BNFG2IVSBN \
  | 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: cec3a8b84c57e914121d0b4a6d22b20b558c6f694bebd4f5643e7ea667119e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076062430b1e4a9227461930e06e139d48dc0f127020d872e9a5ef708c39c1d1",
    "cross_cats_sorted": [
      "hep-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2012-12-04T19:02:50Z",
    "title_canon_sha256": "3f0ec4080bd8ca8ded64e66dad69aceb6c780f5140d705c944165f5b8d2bd0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0824",
    "kind": "arxiv",
    "version": 2
  }
}