Pith Number

pith:GHJHNO7W

pith:2013:GHJHNO7WVV24O4FKL3ZBAOV4T4

not attested not anchored not stored refs pending

The Integrated Sachs-Wolfe effect in $f(R)$ gravity

Baojiu Li (Durham), Carlos S. Frenk (Durham), Mark Neyrinck (JHU), Shaun Cole (Durham), Yan-Chuan Cai (Durham)

arxiv:1310.6986 v2 · 2013-10-25 · 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{GHJHNO7WVV24O4FKL3ZBAOV4T4}

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	2026-05-18T02:57:17.460737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d276bbf6ad75c770aa5ef2103abc9f271f23dc5ce13508327b52da87a4aede

Aliases

arxiv: 1310.6986 · arxiv_version: 1310.6986v2 · doi: 10.48550/arxiv.1310.6986 · pith_short_12: GHJHNO7WVV24 · pith_short_16: GHJHNO7WVV24O4FK · pith_short_8: GHJHNO7W

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/GHJHNO7WVV24O4FKL3ZBAOV4T4 \
  | 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: 31d276bbf6ad75c770aa5ef2103abc9f271f23dc5ce13508327b52da87a4aede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b187c123d647d291e22185e3028e13188020cead2d3ddf60714f0c7c98bc3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-10-25T17:29:37Z",
    "title_canon_sha256": "c2cba135ebfb1f5fdc520658c414743eea324dc57d9f495b63f0c0bd44e3bbb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6986",
    "kind": "arxiv",
    "version": 2
  }
}