Pith Number

pith:QKJBOHTR

pith:2012:QKJBOHTR4DOW2D5S7ZUYBWXKWN

not attested not anchored not stored refs pending

The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples

Constantinos Skordis, Pedro G. Ferreira, Tessa Baker

arxiv:1209.2117 v2 · 2012-09-10 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKJBOHTR4DOW2D5S7ZUYBWXKWN}

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.

Cited by

1 paper in Pith

The Confrontation between General Relativity and Experiment

Receipt and verification

First computed	2026-05-18T03:34:16.077683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8292171e71e0dd6d0fb2fe6980daeab3560d7a23e292e141c49024dcb4f164d5

Aliases

arxiv: 1209.2117 · arxiv_version: 1209.2117v2 · doi: 10.48550/arxiv.1209.2117 · pith_short_12: QKJBOHTR4DOW · pith_short_16: QKJBOHTR4DOW2D5S · pith_short_8: QKJBOHTR

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/QKJBOHTR4DOW2D5S7ZUYBWXKWN \
  | 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: 8292171e71e0dd6d0fb2fe6980daeab3560d7a23e292e141c49024dcb4f164d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a130f0b9ca85d84444a57b0d66febd4c31d2f714ebcdd2dff76b5a768d7cabf5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-09-10T20:00:01Z",
    "title_canon_sha256": "71093efe42b49eb142660714a0e04ed8968b8f7fe4c60a329625cd416249a5a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2117",
    "kind": "arxiv",
    "version": 2
  }
}