Pith Number

pith:5QZQDUE7

pith:2007:5QZQDUE7T2AUI7QNMCCKNBAWPW

not attested not anchored not stored refs pending

Cosmological parameters from strong gravitational lensing and stellar dynamics in elliptical galaxies

C. Grillo, G. Bertin, M. Lombardi

arxiv:0711.0882 v1 · 2007-11-06 · 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{5QZQDUE7T2AUI7QNMCCKNBAWPW}

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.

Cited by

1 paper in Pith

A Joint Analysis of Strong Lensing and Type Ia Supernovae to Determine the Hubble Constant

Receipt and verification

First computed	2026-07-04T17:06:32.678749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3301d09f9e81447e0d6084a684167da32da65fb074473b1e5ab83bfbecb594

Aliases

arxiv: 0711.0882 · arxiv_version: 0711.0882v1 · doi: 10.48550/arxiv.0711.0882 · pith_short_12: 5QZQDUE7T2AU · pith_short_16: 5QZQDUE7T2AUI7QN · pith_short_8: 5QZQDUE7

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/5QZQDUE7T2AUI7QNMCCKNBAWPW \
  | 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: ec3301d09f9e81447e0d6084a684167da32da65fb074473b1e5ab83bfbecb594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64857a9250d80ee82788bcb7bb87822ba3799c342fd81d338ee41867896c2fe8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-11-06T14:13:14Z",
    "title_canon_sha256": "b95be2b609c2ea0a2ef8b5d6e99d6ef242bf1a87ead53db4dad66c08452b5225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0882",
    "kind": "arxiv",
    "version": 1
  }
}