Pith Number

pith:LIGXCURH

pith:2011:LIGXCURHNSY3JS5A24YIFYOPYJ

not attested not anchored not stored refs pending

The Complementarity of Redshift-space Distortions and the Integrated Sachs-Wolfe Effect: A 3D Spherical Analysis

Charles Shapiro, Portsmouth), Robert G. Crittenden, Will J. Percival (ICG

arxiv:1109.1981 v2 · 2011-09-09 · 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{LIGXCURHNSY3JS5A24YIFYOPYJ}

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	2026-05-18T02:00:37.303760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0d7152276cb1b4cba0d73082e1cfc24a98ff7913f94ed30c2103642b7ca569

Aliases

arxiv: 1109.1981 · arxiv_version: 1109.1981v2 · doi: 10.48550/arxiv.1109.1981 · pith_short_12: LIGXCURHNSY3 · pith_short_16: LIGXCURHNSY3JS5A · pith_short_8: LIGXCURH

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/LIGXCURHNSY3JS5A24YIFYOPYJ \
  | 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: 5a0d7152276cb1b4cba0d73082e1cfc24a98ff7913f94ed30c2103642b7ca569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4afaec8242c08ef2b05e8af47859884164ed542c33c6fd24c08068bb97f25d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-09T12:38:54Z",
    "title_canon_sha256": "6c1b87f1868d35e5c5c12abb60881f1be80be07cd048fc3aedb7814c4839595f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1981",
    "kind": "arxiv",
    "version": 2
  }
}