Pith Number

pith:GCZMBU2K

pith:2005:GCZMBU2KQNRIQ4OUDMCH4CT7OW

not attested not anchored not stored refs pending

An analytic approach to the late ISW effect in a Lambda dominated universe

\'Arp\'ad Luk\'acs, M\'aty\'as Vas\'uth, Viktor Czinner

arxiv:astro-ph/0503347 v2 · 2005-03-16 · 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{GCZMBU2KQNRIQ4OUDMCH4CT7OW}

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	2026-07-04T14:48:24.424110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b2c0d34a83628871d41b047e0a7f7586c09596aacb2df8cfbdaefc398e7352

Aliases

arxiv: astro-ph/0503347 · arxiv_version: astro-ph/0503347v2 · doi: 10.48550/arxiv.astro-ph/0503347 · pith_short_12: GCZMBU2KQNRI · pith_short_16: GCZMBU2KQNRIQ4OU · pith_short_8: GCZMBU2K

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/GCZMBU2KQNRIQ4OUDMCH4CT7OW \
  | 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: 30b2c0d34a83628871d41b047e0a7f7586c09596aacb2df8cfbdaefc398e7352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9485dd5e8158ca1e3f3a42cf4450fa2e285d15a9c9c526bd3c4e327acb6e6b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-16T15:34:08Z",
    "title_canon_sha256": "5cfd50256db81c935d5ced37ef9b009310bf111bdda86dd9cbdb7df576f10e7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503347",
    "kind": "arxiv",
    "version": 2
  }
}