Pith Number

pith:WHTVU6BH

pith:2007:WHTVU6BHW7QIRTN2OUVFK67JJK

not attested not anchored not stored refs pending

Dark Energy and the mass of galaxy clusters

Cosimo Bambi

arxiv:astro-ph/0703645 v2 · 2007-03-26 · astro-ph · gr-qc · hep-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{WHTVU6BHW7QIRTN2OUVFK67JJK}

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	2026-07-04T15:16:37.330680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e75a7827b7e088cdba752a557be94a947c75e512ae7922f5797665018ddff7

Aliases

arxiv: astro-ph/0703645 · arxiv_version: astro-ph/0703645v2 · doi: 10.48550/arxiv.astro-ph/0703645 · pith_short_12: WHTVU6BHW7QI · pith_short_16: WHTVU6BHW7QIRTN2 · pith_short_8: WHTVU6BH

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/WHTVU6BHW7QIRTN2OUVFK67JJK \
  | 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: b1e75a7827b7e088cdba752a557be94a947c75e512ae7922f5797665018ddff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b0e319a3e43b4574ea7567c99e2cf786a55549131e993bc54f6a2b93b8e9ac",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-03-26T09:42:46Z",
    "title_canon_sha256": "5ee6d4220cdb1e5b4b9cd5aebd21ee59797842031891e0f0c0572743efe6a050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0703645",
    "kind": "arxiv",
    "version": 2
  }
}