Pith Number

pith:X42XDAZ3

pith:2001:X42XDAZ3TPLDC3EOER3G4WD6UF

not attested not anchored not stored refs pending

Self Gravitating Instability of a Compressible Fluid Cylinder

Ahmed E. Radwan, Gamal G.L. Nashed

arxiv:physics/0109021 v1 · 2001-09-08 · 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{X42XDAZ3TPLDC3EOER3G4WD6UF}

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	2026-07-04T14:43:29.050269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3571833b9bd6316c8e24766e587ea1557956a267d510e6deb293348ceac254

Aliases

arxiv: physics/0109021 · arxiv_version: physics/0109021v1 · doi: 10.48550/arxiv.physics/0109021 · pith_short_12: X42XDAZ3TPLD · pith_short_16: X42XDAZ3TPLDC3EO · pith_short_8: X42XDAZ3

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/X42XDAZ3TPLDC3EOER3G4WD6UF \
  | 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: bf3571833b9bd6316c8e24766e587ea1557956a267d510e6deb293348ceac254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e831dbc536018d9963f765a4a984da9731665ec5e6f491a314aa5c8a05e236",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2001-09-08T18:00:36Z",
    "title_canon_sha256": "ef1f9c38720a789c211e2e24a2a3ec63d8e92ae5ec33780cce7254dae980e8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0109021",
    "kind": "arxiv",
    "version": 1
  }
}