Pith Number

pith:FNFSELRX

pith:2009:FNFSELRX2ARQSAFZHNHHUNY5OM

not attested not anchored not stored refs pending

Phase Transition in a Vlasov-Boltzmann Binary Mixture

R. Esposito, R. Marra, Y. Guo

arxiv:0904.0791 v1 · 2009-04-05 · math-ph · 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{FNFSELRX2ARQSAFZHNHHUNY5OM}

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	2026-05-18T02:14:07.438853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4b222e37d0230900b93b4e7a371d7301bbf52af2112743990b324e3577e401

Aliases

arxiv: 0904.0791 · arxiv_version: 0904.0791v1 · doi: 10.48550/arxiv.0904.0791 · pith_short_12: FNFSELRX2ARQ · pith_short_16: FNFSELRX2ARQSAFZ · pith_short_8: FNFSELRX

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/FNFSELRX2ARQSAFZHNHHUNY5OM \
  | 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: 2b4b222e37d0230900b93b4e7a371d7301bbf52af2112743990b324e3577e401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65c45a9c21a3b8c9572f2a6667064f24d0caf3307fac75d0714c1280200f6e2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-05T16:35:19Z",
    "title_canon_sha256": "a9bd307f686255ae3f99873bb04e0a136dbed4ccaf83d8501fe40fe5fcdaa7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0791",
    "kind": "arxiv",
    "version": 1
  }
}