Pith Number

pith:RIUMQA7H

pith:2012:RIUMQA7HRXYVTRJJ6CPXMUURUE

not attested not anchored not stored refs pending

Future CMB ISW-Lensing bispectrum constraints on modified gravity in the Parameterized Post-Friedmann formalism

Bin Hu, Michele Liguori, Nicola Bartolo, Sabino Matarrese

arxiv:1211.5032 v2 · 2012-11-21 · 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{RIUMQA7HRXYVTRJJ6CPXMUURUE}

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	2026-05-18T03:16:27.127418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a28c803e78df159c529f09f765291a10e3b355c106db29c2bac863f2a3d0652

Aliases

arxiv: 1211.5032 · arxiv_version: 1211.5032v2 · doi: 10.48550/arxiv.1211.5032 · pith_short_12: RIUMQA7HRXYV · pith_short_16: RIUMQA7HRXYVTRJJ · pith_short_8: RIUMQA7H

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/RIUMQA7HRXYVTRJJ6CPXMUURUE \
  | 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: 8a28c803e78df159c529f09f765291a10e3b355c106db29c2bac863f2a3d0652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27e0d187fdedeb3f13cd412d1667e51322e6c542c3ce584e12fd3842565e424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-11-21T13:58:04Z",
    "title_canon_sha256": "138c9ce5e257257ef8d696dd8c549f47ca509f49062f68cc33de1379ba69b091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5032",
    "kind": "arxiv",
    "version": 2
  }
}