Pith Number

pith:E2P6VTKG

pith:2010:E2P6VTKGYL3K4NW5DAQZUWA6AO

not attested not anchored not stored refs pending

On the universality of density profiles

A. Del Popolo (Physics Department, Catania, Italy)

arxiv:1012.4322 v1 · 2010-12-20 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2P6VTKGYL3K4NW5DAQZUWA6AO}

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	2026-05-18T02:04:22.025892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

269feacd46c2f6ae36dd18219a581e0395c30c960036e035406b2c972259b60e

Aliases

arxiv: 1012.4322 · arxiv_version: 1012.4322v1 · doi: 10.48550/arxiv.1012.4322 · pith_short_12: E2P6VTKGYL3K · pith_short_16: E2P6VTKGYL3K4NW5 · pith_short_8: E2P6VTKG

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/E2P6VTKGYL3K4NW5DAQZUWA6AO \
  | 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: 269feacd46c2f6ae36dd18219a581e0395c30c960036e035406b2c972259b60e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453944e166622f7076cbbf47d494587fc372a99fd7a8283c3de1e3864babfb00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-20T13:36:00Z",
    "title_canon_sha256": "3113e23816de7216949851445f9215fb4605e2e10e9b263ff3ff4c7d1e3f1854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4322",
    "kind": "arxiv",
    "version": 1
  }
}