Pith Number

pith:MB4VELMN

pith:2009:MB4VELMN4EVBWPMIUYSP3WVMYG

not attested not anchored not stored refs pending

Virial inequalities for steady states in relativistic galactic dynamics

Juan Calvo, Juan Soler, \'Oscar S\'anchez, Simone Calogero

arxiv:0912.3240 v1 · 2009-12-16 · 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{MB4VELMN4EVBWPMIUYSP3WVMYG}

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	2026-05-18T02:10:16.293406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6079522d8de12a1b3d88a624fddaacc1a9e518ea51e474abd1ba8c912aa18183

Aliases

arxiv: 0912.3240 · arxiv_version: 0912.3240v1 · doi: 10.48550/arxiv.0912.3240 · pith_short_12: MB4VELMN4EVB · pith_short_16: MB4VELMN4EVBWPMI · pith_short_8: MB4VELMN

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/MB4VELMN4EVBWPMIUYSP3WVMYG \
  | 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: 6079522d8de12a1b3d88a624fddaacc1a9e518ea51e474abd1ba8c912aa18183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c88d3b0929dac2942d17eac151f96d836bd327fdf9d523c234f27d5c4eac9fc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-16T19:53:11Z",
    "title_canon_sha256": "4a912439461de89eab9ab8a409091ac152b73e7bbd3a9341ca2112718358547b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3240",
    "kind": "arxiv",
    "version": 1
  }
}