Pith Number

pith:IVAQBK34

pith:2000:IVAQBK34DLN6CRFU7TOGOXSWVA

not attested not anchored not stored refs pending

The Structure of Self-Gravitating Polytropic Systems with n around 5

George Rybicki (Harvard), Mikhail V. Medvedev (Harvard & CITA)

arxiv:astro-ph/0010621 v2 · 2000-10-30 · 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{IVAQBK34DLN6CRFU7TOGOXSWVA}

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.

Cited by

1 paper in Pith

Threshold Drop in Accretion Density if Dark Energy is Accreting onto a Supermassive Black Hole

Receipt and verification

First computed	2026-07-04T16:17:30.756439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454100ab7c1adbe144b4fcdc675e56a821f4a1fb3cf37b04349ecb45a1a3487a

Aliases

arxiv: astro-ph/0010621 · arxiv_version: astro-ph/0010621v2 · doi: 10.48550/arxiv.astro-ph/0010621 · pith_short_12: IVAQBK34DLN6 · pith_short_16: IVAQBK34DLN6CRFU · pith_short_8: IVAQBK34

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/IVAQBK34DLN6CRFU7TOGOXSWVA \
  | 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: 454100ab7c1adbe144b4fcdc675e56a821f4a1fb3cf37b04349ecb45a1a3487a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5df08a6dd995a1edf067b1c6d1a65b3bfad4857982a9351575c497b01478c21f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-10-30T22:05:48Z",
    "title_canon_sha256": "f1e8794b91b7f785ab78da8a95abcd8bdc680b70f0111e2cb2a66eaab784eeec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0010621",
    "kind": "arxiv",
    "version": 2
  }
}