Pith Number

pith:3QJMQK52

pith:2006:3QJMQK52LZM2CTOR3XJY5PPNE4

not attested not anchored not stored refs pending

Constraints on Distance Duality Relation from Sunyaev Zel'dovich Effect and Chandra X-ray measurements

Alessandro Melchiorri, Elena Giusarma, Francesco De Bernardis

arxiv:gr-qc/0606029 v1 · 2006-06-07 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QJMQK52LZM2CTOR3XJY5PPNE4}

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

Can Distance Duality Violation Save Late-time Solutions to the Hubble Tension?

Receipt and verification

First computed	2026-07-04T17:01:28.488797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc12c82bba5e59a14dd1ddd38ebded2715c85350165186ace6996323f7aa7748

Aliases

arxiv: gr-qc/0606029 · arxiv_version: gr-qc/0606029v1 · doi: 10.48550/arxiv.gr-qc/0606029 · pith_short_12: 3QJMQK52LZM2 · pith_short_16: 3QJMQK52LZM2CTOR · pith_short_8: 3QJMQK52

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/3QJMQK52LZM2CTOR3XJY5PPNE4 \
  | 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: dc12c82bba5e59a14dd1ddd38ebded2715c85350165186ace6996323f7aa7748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70dd8d8e18aeb47f8bbb6024a0f1e1db30d61ac6e216ce5157839d13110ea6ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-06-07T10:52:01Z",
    "title_canon_sha256": "4619113f3f172168b6f2e28666cac9e42e3439ed754f9707423a7d2ec3cee903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0606029",
    "kind": "arxiv",
    "version": 1
  }
}