Pith Number

pith:QKLSMZLD

pith:2013:QKLSMZLDZJ4JZEDNAEDV2NZPY2

not attested not anchored not stored refs pending

Evolution of the phase-space density and the Jeans scale for dark matter derived from the Vlasov-Einstein equation

Davi C. Rodrigues, Jos\'e A. de Freitas Pacheco, J\'ulio C. Fabris, Oliver F. Piattella

arxiv:1306.3578 v2 · 2013-06-15 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKLSMZLDZJ4JZEDNAEDV2NZPY2}

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	2026-05-18T03:08:07.018154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8297266563ca789c906d01075d372fc681c599375fac2f5f46d7bf5a77515a8f

Aliases

arxiv: 1306.3578 · arxiv_version: 1306.3578v2 · doi: 10.48550/arxiv.1306.3578 · pith_short_12: QKLSMZLDZJ4J · pith_short_16: QKLSMZLDZJ4JZEDN · pith_short_8: QKLSMZLD

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/QKLSMZLDZJ4JZEDNAEDV2NZPY2 \
  | 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: 8297266563ca789c906d01075d372fc681c599375fac2f5f46d7bf5a77515a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f092f1715fcbd15441f475e0240fbe438638f9f3f0ae8a9cd5247f17cb7f0b7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-06-15T13:57:39Z",
    "title_canon_sha256": "cb648ebc75b1120382021120a8488dacae98214b7eb8f6a118a8dce866e9b34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3578",
    "kind": "arxiv",
    "version": 2
  }
}