Pith Number

pith:P32MLM7A

pith:2020:P32MLM7AWSGVN3QYOK6DAWXZY3

not attested not anchored not stored refs pending

Noise and waves: a unified kinetic theory for stellar systems

Cambridge), Chris Hamilton (DAMTP, Copenhagen), Tobias Heinemann (NBI

arxiv:2011.14812 v1 · 2020-11-30 · astro-ph.GA · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P32MLM7AWSGVN3QYOK6DAWXZY3}

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

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

Receipt and verification

First computed	2026-07-05T01:55:23.674900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef4c5b3e0b48d56ee1872bc305af9c6d1eb98b678202dfb2a07bbd27b9a37fc

Aliases

arxiv: 2011.14812 · arxiv_version: 2011.14812v1 · doi: 10.48550/arxiv.2011.14812 · pith_short_12: P32MLM7AWSGV · pith_short_16: P32MLM7AWSGVN3QY · pith_short_8: P32MLM7A

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/P32MLM7AWSGVN3QYOK6DAWXZY3 \
  | 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: 7ef4c5b3e0b48d56ee1872bc305af9c6d1eb98b678202dfb2a07bbd27b9a37fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba8bb135fa43f0602952a80007d16d82d974f4142b9d4b8a06dc6a3b32a1e55",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2020-11-30T14:09:09Z",
    "title_canon_sha256": "1d74ecec5b9180d28d82e0a522a0f34276994503d08340294d7dfaa8fabff527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.14812",
    "kind": "arxiv",
    "version": 1
  }
}