Pith Number

pith:GDGN5RD5

pith:2012:GDGN5RD53CCSVEM3L7MKVDZCXA

not attested not anchored not stored refs pending

Kinetic Theory of Collisionless Self-Gravitating Gases: II. Relativistic Corrections in Galactic Dynamics

C. A. Ag\'on, J. F. Pedraza, J. Ramos-Caro

arxiv:1206.5804 v3 · 2012-06-25 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDGN5RD53CCSVEM3L7MKVDZCXA}

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	2026-05-18T03:48:14.595171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ccdec47dd8852a919b5fd8aa8f22b839175f32db15260dc28a97bf206b419d

Aliases

arxiv: 1206.5804 · arxiv_version: 1206.5804v3 · doi: 10.48550/arxiv.1206.5804 · pith_short_12: GDGN5RD53CCS · pith_short_16: GDGN5RD53CCSVEM3 · pith_short_8: GDGN5RD5

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/GDGN5RD53CCSVEM3L7MKVDZCXA \
  | 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: 30ccdec47dd8852a919b5fd8aa8f22b839175f32db15260dc28a97bf206b419d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d00fa4d64089cb60cc58c4405314f0ea32b461964e2e26976d34c9b3fc1e542",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-06-25T20:00:03Z",
    "title_canon_sha256": "ca23511ad5894a2430f65b5d69e1f6b4d1f7de5a610de4d933a2299ea90b656b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5804",
    "kind": "arxiv",
    "version": 3
  }
}