Pith Number

pith:NC2GGP2D

pith:2001:NC2GGP2DT6KUEDWD4LTMCQ2GX4

not attested not anchored not stored refs pending

Clustering properties and gravitational lensing of forming spheroidal galaxies

C. Baccigalupi, F. Perrotta, G. de Zotti, G.L. Granato, L. Danese, L. Silva, M. Bartelmann, M. Magliocchetti

arxiv:astro-ph/0111239 v1 · 2001-11-13 · 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{NC2GGP2DT6KUEDWD4LTMCQ2GX4}

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	2026-07-04T14:11:38.442450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b4633f439f95420ec3e2e6c14346bf1797144ce98a30b4ea0d22354c096610

Aliases

arxiv: astro-ph/0111239 · arxiv_version: astro-ph/0111239v1 · doi: 10.48550/arxiv.astro-ph/0111239 · pith_short_12: NC2GGP2DT6KU · pith_short_16: NC2GGP2DT6KUEDWD · pith_short_8: NC2GGP2D

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/NC2GGP2DT6KUEDWD4LTMCQ2GX4 \
  | 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: 68b4633f439f95420ec3e2e6c14346bf1797144ce98a30b4ea0d22354c096610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8158bbf3049985da49df26648e8a6685fc9ceb54b1327b4354523444985658b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-11-13T13:50:21Z",
    "title_canon_sha256": "afa85fd324408d6663b8343594f2583dbb1f186c601d0f4fb91d1e144ed13dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0111239",
    "kind": "arxiv",
    "version": 1
  }
}