Pith Number

pith:D4P3T4UR

pith:2025:D4P3T4URL5BYGLT5OCTRILSGD2

not attested not anchored not stored refs pending

On the long-term evolution of razor-thin galactic discs: Balescu-Lenard prediction and perspectives

Christophe Pichon, Jean-Baptiste Fouvry, Mathieu Roule, Pierre-Henri Chavanis

arxiv:2502.07342 v1 · 2025-02-11 · 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{D4P3T4URL5BYGLT5OCTRILSGD2}

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.

Cited by

1 paper in Pith

Galactokinetics II: Spiral structure

Receipt and verification

First computed	2026-07-05T11:33:49.471731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1fb9f2915f43832e7d70a7142e461ebe033c8d735b16f905233a0d1bc732aa

Aliases

arxiv: 2502.07342 · arxiv_version: 2502.07342v1 · doi: 10.48550/arxiv.2502.07342 · pith_short_12: D4P3T4URL5BY · pith_short_16: D4P3T4URL5BYGLT5 · pith_short_8: D4P3T4UR

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/D4P3T4URL5BYGLT5OCTRILSGD2 \
  | 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: 1f1fb9f2915f43832e7d70a7142e461ebe033c8d735b16f905233a0d1bc732aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2123acbb322dc9771a865c6db408f95020b94e3c84c67a82294186cecf71e0b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2025-02-11T08:09:38Z",
    "title_canon_sha256": "769bc9ba8e2b26398d50b4736812ba6fc88e52a9ce7a6003ff8e225de28f2cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07342",
    "kind": "arxiv",
    "version": 1
  }
}