Pith Number

pith:EHIP6BUM

pith:1999:EHIP6BUMDMVBLC3F3NFBEQ2IWB

not attested not anchored not stored refs pending

Acoustic Waves in a Stratified Atmosphere: II. Three-Dimensional Hydrodynamics

G. Bodo, P. Rossi, S. Massaglia, W. Kalkofen

arxiv:astro-ph/9911332 v1 · 1999-11-17 · astro-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{EHIP6BUMDMVBLC3F3NFBEQ2IWB}

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	2026-07-04T14:17:20.591499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21d0ff068c1b2a158b65db4a124348b061629206d9a5e102d8f69b33bdce2bd2

Aliases

arxiv: astro-ph/9911332 · arxiv_version: astro-ph/9911332v1 · doi: 10.48550/arxiv.astro-ph/9911332 · pith_short_12: EHIP6BUMDMVB · pith_short_16: EHIP6BUMDMVBLC3F · pith_short_8: EHIP6BUM

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/EHIP6BUMDMVBLC3F3NFBEQ2IWB \
  | 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: 21d0ff068c1b2a158b65db4a124348b061629206d9a5e102d8f69b33bdce2bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ddceb4fc77e63700483c1a039085e2af82c9ebaa275856d6339a1625916df20",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-11-17T14:56:31Z",
    "title_canon_sha256": "814ff2fc5f00d500b03933027dce426497f2a847d96f4cc407b4b865657278fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9911332",
    "kind": "arxiv",
    "version": 1
  }
}