Pith Number

pith:LIVI5XKU

pith:2012:LIVI5XKU2ULZOSIIPTHXLAEBPE

not attested not anchored not stored refs pending

The significance of the integrated Sachs-Wolfe effect revisited

Ashley J. Ross (ICG Portsmouth), Robert Crittenden, Robert Nichol, Tommaso Giannantonio (LMU Munich & EXC)

arxiv:1209.2125 v1 · 2012-09-10 · 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{LIVI5XKU2ULZOSIIPTHXLAEBPE}

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	2026-05-18T03:42:13.023869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2a8edd54d5179749087ccf75808179222be904a5985cb75dc04336b086115c

Aliases

arxiv: 1209.2125 · arxiv_version: 1209.2125v1 · doi: 10.48550/arxiv.1209.2125 · pith_short_12: LIVI5XKU2ULZ · pith_short_16: LIVI5XKU2ULZOSII · pith_short_8: LIVI5XKU

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/LIVI5XKU2ULZOSIIPTHXLAEBPE \
  | 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: 5a2a8edd54d5179749087ccf75808179222be904a5985cb75dc04336b086115c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe61c936d799e77e748e34d951fa9388abbe51914c8bdb03014e0cf98f990a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-09-10T20:00:05Z",
    "title_canon_sha256": "889f1572b3ed8f9566dcfd2882fd4d8d8b97a011aeb083a5e8353c5f160805d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2125",
    "kind": "arxiv",
    "version": 1
  }
}