Pith Number

pith:5RKNEIPD

pith:1998:5RKNEIPD7HIUXASU4HSKWZLDMK

not attested not anchored not stored refs pending

Negative Energy Modes and Gravitational Instability of Interpenetrating Fluids

(2) Dept. of Physics, (3) Dept. of Astronomy, A.R.R. Casti (1), Columbia Univ., Columbia Univ.), E.A. Spiegel (3) ((1) Dept. of Applied Mathematics, Institute for Fusion Studies, P.J. Morrison (2), Univ. of Texas at Austin

arxiv:astro-ph/9807310 v2 · 1998-07-29 · 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{5RKNEIPD7HIUXASU4HSKWZLDMK}

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	2026-05-18T03:31:45.438540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec54d221e3f9d14b8254e1e4ab6563629914aa1fcf0355cb76d0ccbd02191bb1

Aliases

arxiv: astro-ph/9807310 · arxiv_version: astro-ph/9807310v2 · doi: 10.48550/arxiv.astro-ph/9807310 · pith_short_12: 5RKNEIPD7HIU · pith_short_16: 5RKNEIPD7HIUXASU · pith_short_8: 5RKNEIPD

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/5RKNEIPD7HIUXASU4HSKWZLDMK \
  | 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: ec54d221e3f9d14b8254e1e4ab6563629914aa1fcf0355cb76d0ccbd02191bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1308901eb4212a2f43f57711fbd5299606cd2cc50aa77b6203835d00c461f7d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-07-29T21:58:15Z",
    "title_canon_sha256": "acafbfa835bb49fd173e792fa3c8880c23c134e4419b12484828a4a41c218256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9807310",
    "kind": "arxiv",
    "version": 2
  }
}