Pith Number

pith:5VBQV6LZ

pith:2018:5VBQV6LZ2KDJS7FOQMAI4RIXOQ

not attested not anchored not stored refs pending

How gravitational softening affects galaxy stability I. Linear mode analysis of disc galaxies

Jean-Baptiste Fouvry, Sven De Rijcke, Walter Dehnen

arxiv:1812.07001 v1 · 2018-12-17 · 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{5VBQV6LZ2KDJS7FOQMAI4RIXOQ}

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	2026-05-17T23:52:39.103561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed430af979d286997cae83008e4517743de5f5eb3afc5c8dc43c3cddb3540f9b

Aliases

arxiv: 1812.07001 · arxiv_version: 1812.07001v1 · doi: 10.48550/arxiv.1812.07001 · pith_short_12: 5VBQV6LZ2KDJ · pith_short_16: 5VBQV6LZ2KDJS7FO · pith_short_8: 5VBQV6LZ

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/5VBQV6LZ2KDJS7FOQMAI4RIXOQ \
  | 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: ed430af979d286997cae83008e4517743de5f5eb3afc5c8dc43c3cddb3540f9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae4b6fa8885952a5562bf78ca5f049dff6a03a34504d7f17d8abfdb9fbad863",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-12-17T19:04:09Z",
    "title_canon_sha256": "df6d7a6f8ab5757502a0f94ac91e0680947b46685c63498b7d71702a5c07cf66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07001",
    "kind": "arxiv",
    "version": 1
  }
}