Pith Number

pith:IOBDMBXY

pith:2015:IOBDMBXYBZ7EHX7XKDIALOQOVH

not attested not anchored not stored refs pending

Transverse-Traceless Gravitational Waves In A Spatially Flat FLRW Universe: Causal Structure from Dimension Reduction

Yi-Zen Chu

arxiv:1504.06337 v3 · 2015-04-23 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOBDMBXYBZ7EHX7XKDIALOQOVH}

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.

Cited by

1 paper in Pith

Cosmological perturbation theory of primordial compact sources

Receipt and verification

First computed	2026-05-18T01:23:40.044410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43823606f80e7e43dff750d005ba0ea9f0a67a93f0b19d0b74f36ce91fd8138d

Aliases

arxiv: 1504.06337 · arxiv_version: 1504.06337v3 · doi: 10.48550/arxiv.1504.06337 · pith_short_12: IOBDMBXYBZ7E · pith_short_16: IOBDMBXYBZ7EHX7X · pith_short_8: IOBDMBXY

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/IOBDMBXYBZ7EHX7XKDIALOQOVH \
  | 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: 43823606f80e7e43dff750d005ba0ea9f0a67a93f0b19d0b74f36ce91fd8138d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b48a2d672fb94f841da82bddcf58b366e4726b30f979fd350707d42c68f6fae",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-04-23T20:42:14Z",
    "title_canon_sha256": "2869e5d079984185c6a18441fe6f5c4a9483858fe11c8798fd99df020baaa772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06337",
    "kind": "arxiv",
    "version": 3
  }
}