Pith Number

pith:VA7RQMSJ

pith:2008:VA7RQMSJ6BWGIVLTDDYHLFMADN

not attested not anchored not stored refs pending

The Einstein Cross: constraint on dark matter from stellar dynamics and gravitational lensing

2), (2) IAS, (3) IAC, 4), (4) ESA/ESTEC, (5) Gemini Observatory, (6) University of Oxford, (7) Gemini Observatory, 9) ((1) MPIA, (9) Sterrewacht Leiden), Bryan W. Miller (7), Chile (8) ESO, Garching, Glenn van de Ven (1, Hawaii, Heidelberg, Jesus Falcon-Barroso (3, Michele Cappellari (6), Princeton, P. Tim de Zeeuw (8, Richard M. McDermid (5), Tenerife

arxiv:0807.4175 v2 · 2008-07-25 · astro-ph · 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{VA7RQMSJ6BWGIVLTDDYHLFMADN}

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

Beyond collective fluctuations: probing micro-image swarms in lensed quasars with intensity interferometry

Receipt and verification

First computed	2026-05-18T04:32:35.352373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83f183249f06c64557318f07595801b51fa513f07252a2df330fe556ca3d28c

Aliases

arxiv: 0807.4175 · arxiv_version: 0807.4175v2 · doi: 10.48550/arxiv.0807.4175 · pith_short_12: VA7RQMSJ6BWG · pith_short_16: VA7RQMSJ6BWGIVLT · pith_short_8: VA7RQMSJ

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/VA7RQMSJ6BWGIVLTDDYHLFMADN \
  | 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: a83f183249f06c64557318f07595801b51fa513f07252a2df330fe556ca3d28c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d756ee3dad9e480dac5b8c096919c4872a847946236ff69ce280d0304c8b89c9",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-07-25T20:00:26Z",
    "title_canon_sha256": "76f6a6f3c5505d562221d639d59c1935c5442a2d83b6c658c7bf34fb1174cc00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4175",
    "kind": "arxiv",
    "version": 2
  }
}