Pith Number

pith:HP2MPO66

pith:2001:HP2MPO66VV3TFV4WON25LHZUM3

not attested not anchored not stored refs pending

Gravitational instability of finite isothermal spheres

P.-H. Chavanis

arxiv:astro-ph/0103159 v2 · 2001-03-11 · astro-ph · cond-mat.stat-mech · nlin.CD · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HP2MPO66VV3TFV4WON25LHZUM3}

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	2026-07-04T16:22:51.240395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf4c7bbdead7732d7967375d59f3466c74ef665aa65c260d6983b336bf57395

Aliases

arxiv: astro-ph/0103159 · arxiv_version: astro-ph/0103159v2 · doi: 10.48550/arxiv.astro-ph/0103159 · pith_short_12: HP2MPO66VV3T · pith_short_16: HP2MPO66VV3TFV4W · pith_short_8: HP2MPO66

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/HP2MPO66VV3TFV4WON25LHZUM3 \
  | 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: 3bf4c7bbdead7732d7967375d59f3466c74ef665aa65c260d6983b336bf57395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b879ae87fb67fa66fa1119e084d8a2d2d2b571eabbc87c0f83c40348172003",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-03-11T16:30:35Z",
    "title_canon_sha256": "c5f167a6d0f67b36aa697ed5a3a53a239d9038822f3d5c5c8e44ae6145b65be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0103159",
    "kind": "arxiv",
    "version": 2
  }
}