Pith Number

pith:M64HWE7O

pith:1998:M64HWE7OCFFWZETDPRQASGUHSQ

not attested not anchored not stored refs pending

Fractal Structures Driven by Self-Gravity: Molecular clouds and the Universe

Francoise Combes

arxiv:astro-ph/9804048 v1 · 1998-04-05 · 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{M64HWE7OCFFWZETDPRQASGUHSQ}

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	2026-05-18T01:07:37.656355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b87b13ee114b6c92637c60091a8794053bf785b19e46fc81644fccfc02d298

Aliases

arxiv: astro-ph/9804048 · arxiv_version: astro-ph/9804048v1 · doi: 10.48550/arxiv.astro-ph/9804048 · pith_short_12: M64HWE7OCFFW · pith_short_16: M64HWE7OCFFWZETD · pith_short_8: M64HWE7O

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/M64HWE7OCFFWZETDPRQASGUHSQ \
  | 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: 67b87b13ee114b6c92637c60091a8794053bf785b19e46fc81644fccfc02d298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4baecfb2ac7ccdf984a363aad6c54441c634c0e5d9e0b2a1a7ab052e695c1a8f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-04-05T14:19:50Z",
    "title_canon_sha256": "deda3057c03e14e3964aec51d933ad356f3524b1ceb86a689586c6de95e9cdd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9804048",
    "kind": "arxiv",
    "version": 1
  }
}