Pith Number

pith:7LKSGK42

pith:2006:7LKSGK42IQYHHVU3LEBRPB7MFF

not attested not anchored not stored refs pending

Self-Similar Evolutionary Solutions of Self-Gravitating, Polytropic $\beta$-Viscous Disks

Fatemeh Salehi, Jamshid Ghanbari, Shahram Abbassi

arxiv:astro-ph/0607342 v1 · 2006-07-14 · 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{7LKSGK42IQYHHVU3LEBRPB7MFF}

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	2026-05-18T03:53:18.085051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad5232b9a443073d69b59031787ec29597d57fb9a371dd6f1272b6df6d2eb9a

Aliases

arxiv: astro-ph/0607342 · arxiv_version: astro-ph/0607342v1 · doi: 10.48550/arxiv.astro-ph/0607342 · pith_short_12: 7LKSGK42IQYH · pith_short_16: 7LKSGK42IQYHHVU3 · pith_short_8: 7LKSGK42

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/7LKSGK42IQYHHVU3LEBRPB7MFF \
  | 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: fad5232b9a443073d69b59031787ec29597d57fb9a371dd6f1272b6df6d2eb9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b7bb35971aa3d5f6670ea64a1f91e932ffd44834817bb1bf1d963fe68df658",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-07-14T21:47:58Z",
    "title_canon_sha256": "bca28070a96007b593cc5c453ee731bb7faf738f4ebc5da7d90711c89f3a665e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0607342",
    "kind": "arxiv",
    "version": 1
  }
}