Pith Number

pith:LBYPGP6D

pith:2018:LBYPGP6DKEM5PFHMGWEFX75YJF

not attested not anchored not stored refs pending

Analytic growth rate of gravitational instability in self-gravitating planar polytropes

Jean-Baptiste Durrive, Mathieu Langer

arxiv:1803.03292 v1 · 2018-03-07 · astro-ph.GA · astro-ph.CO · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBYPGP6DKEM5PFHMGWEFX75YJF}

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	2026-05-18T00:00:08.720461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5870f33fc35119d794ec35885bffb8496e218318b5734a4eb76156545fff280f

Aliases

arxiv: 1803.03292 · arxiv_version: 1803.03292v1 · doi: 10.48550/arxiv.1803.03292 · pith_short_12: LBYPGP6DKEM5 · pith_short_16: LBYPGP6DKEM5PFHM · pith_short_8: LBYPGP6D

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/LBYPGP6DKEM5PFHMGWEFX75YJF \
  | 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: 5870f33fc35119d794ec35885bffb8496e218318b5734a4eb76156545fff280f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f312d43c8a7489c1aba5ea7c8563074b98fe039fff6eb83dda0afed3c5c282e1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-03-07T16:31:38Z",
    "title_canon_sha256": "ab1e4e68b3c617028cd0efcf2695d60601c74373e3b39c4351d4f501c9e91829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03292",
    "kind": "arxiv",
    "version": 1
  }
}