Pith Number

pith:4B4QORN4

pith:2009:4B4QORN4F5K2AGIWHIJWP7F3FB

not attested not anchored not stored refs pending

Collective pulsational velocity broadening due to gravity modes as a physical explanation for macroturbulence in hot massive stars

C. Aerts, J. Puls, M.-A. Dupret, M. Godart

arxiv:0909.3585 v1 · 2009-09-19 · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B4QORN4F5K2AGIWHIJWP7F3FB}

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	2026-05-18T02:11:46.134800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0790745bc2f55a019163a1367fcbb287e5663478d97ff05085cf00c9b2ec6ed

Aliases

arxiv: 0909.3585 · arxiv_version: 0909.3585v1 · doi: 10.48550/arxiv.0909.3585 · pith_short_12: 4B4QORN4F5K2 · pith_short_16: 4B4QORN4F5K2AGIW · pith_short_8: 4B4QORN4

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/4B4QORN4F5K2AGIWHIJWP7F3FB \
  | 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: e0790745bc2f55a019163a1367fcbb287e5663478d97ff05085cf00c9b2ec6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac89c5c3fd251cf28f0f4581fab164efa43ee8b482d77862aa96e911717daf5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2009-09-19T13:36:54Z",
    "title_canon_sha256": "29e45c0f9a41886f34b970771d60e349b6bb3ab1be174fe44c9f59e95db1a588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3585",
    "kind": "arxiv",
    "version": 1
  }
}