Pith Number

pith:37YNULAL

pith:2013:37YNULALSCQJ2ENM4HBGWVTWLL

not attested not anchored not stored refs pending

Cosmological Perturbations in Extended Massive Gravity

A. Emir Gumrukcuoglu, Chunshan Lin, Kurt Hinterbichler, Mark Trodden, Shinji Mukohyama

arxiv:1304.0449 v1 · 2013-04-01 · hep-th · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37YNULALSCQJ2ENM4HBGWVTWLL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:18:08.012029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff0da2c0b90a09d11ace1c26b56765ae7d9523557f63ceea00d2c907bf88a8a

Aliases

arxiv: 1304.0449 · arxiv_version: 1304.0449v1 · doi: 10.48550/arxiv.1304.0449 · pith_short_12: 37YNULALSCQJ · pith_short_16: 37YNULALSCQJ2ENM · pith_short_8: 37YNULAL

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/37YNULALSCQJ2ENM4HBGWVTWLL \
  | 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: dff0da2c0b90a09d11ace1c26b56765ae7d9523557f63ceea00d2c907bf88a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8f1a2b5669b4e8ebf4ee0ba716f8363123e50d7c223c42372b6317d640e8b5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-01T20:00:00Z",
    "title_canon_sha256": "e72858c0aa74c26bd7d7678dab5daaade3b8f4cd3807f42d74c1f8c7bf470a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0449",
    "kind": "arxiv",
    "version": 1
  }
}