Pith Number

pith:XH3CRRBV

pith:2011:XH3CRRBVJCMCQBNJ7UPP5TACC4

not attested not anchored not stored refs pending

Equilibrium and Dynamical Evolution of Self-Gravitating System Embedded in a Potential Well

Hyung Mok Lee, Ilsang Yoon, Jongsuk Hong

arxiv:1102.4416 v1 · 2011-02-22 · 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{XH3CRRBVJCMCQBNJ7UPP5TACC4}

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	2026-05-18T02:03:06.695729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f628c43548982805a9fd1efecc02170a147a2557ffac782fd58ec072e5cbb7

Aliases

arxiv: 1102.4416 · arxiv_version: 1102.4416v1 · doi: 10.48550/arxiv.1102.4416 · pith_short_12: XH3CRRBVJCMC · pith_short_16: XH3CRRBVJCMCQBNJ · pith_short_8: XH3CRRBV

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/XH3CRRBVJCMCQBNJ7UPP5TACC4 \
  | 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: b9f628c43548982805a9fd1efecc02170a147a2557ffac782fd58ec072e5cbb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613ef583d41d2c8697826fd14246237837db037633267b8990ea8fc60154b854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-02-22T06:18:29Z",
    "title_canon_sha256": "745c347afbc07e4930344eaa0ac3fe127ba1bbd8833cf38c9769088f7b62ce09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4416",
    "kind": "arxiv",
    "version": 1
  }
}