Pith Number

pith:O2LSAVC4

pith:1996:O2LSAVC4HRBBNUUU3VR6VFML57

not attested not anchored not stored refs pending

An analytic approximation to the isothermal sphere

Belfast), Cambridge, Cambridge), Donald Lynden-Bell (IoA, Priyamvada Natarajan (IoA, University

arxiv:astro-ph/9604084 v2 · 1996-04-16 · 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{O2LSAVC4HRBBNUUU3VR6VFML57}

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	2026-05-18T01:40:21.426295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769720545c3c4216d294dd63ea958beff17ebc4ed2a1bb7e8eadbb30b3dbd700

Aliases

arxiv: astro-ph/9604084 · arxiv_version: astro-ph/9604084v2 · doi: 10.48550/arxiv.astro-ph/9604084 · pith_short_12: O2LSAVC4HRBB · pith_short_16: O2LSAVC4HRBBNUUU · pith_short_8: O2LSAVC4

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/O2LSAVC4HRBBNUUU3VR6VFML57 \
  | 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: 769720545c3c4216d294dd63ea958beff17ebc4ed2a1bb7e8eadbb30b3dbd700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cccaff6012fca382297f6ac6a5e38268f7fa1faacb3f1e2f4ebede822802e69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-04-16T13:19:15Z",
    "title_canon_sha256": "db2b9d64fefb9659360c6da5a95121b9ef466ada5e6346e6979dfb6724c9472b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9604084",
    "kind": "arxiv",
    "version": 2
  }
}