Pith Number

pith:CZMRSWAT

pith:2011:CZMRSWATQJ6S6YLYAB4OTOMV3T

not attested not anchored not stored refs pending

Cosmological perturbations in $k$-essence model

Jiro Matsumoto, Kazuharu Bamba, Shin'ichi Nojiri

arxiv:1109.1308 v3 · 2011-09-06 · hep-th · 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{CZMRSWATQJ6S6YLYAB4OTOMV3T}

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

Relativistic effects in k-essence

Receipt and verification

First computed	2026-05-18T03:53:54.735695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1659195813827d2f61780078e9b995dce18f10c68cd298527b49872d10474b25

Aliases

arxiv: 1109.1308 · arxiv_version: 1109.1308v3 · doi: 10.48550/arxiv.1109.1308 · pith_short_12: CZMRSWATQJ6S · pith_short_16: CZMRSWATQJ6S6YLY · pith_short_8: CZMRSWAT

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/CZMRSWATQJ6S6YLYAB4OTOMV3T \
  | 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: 1659195813827d2f61780078e9b995dce18f10c68cd298527b49872d10474b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a3b02f1287cef7b6eb7a37913f097b61eaef28f45be3436467f84a1cfe648b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-06T21:37:32Z",
    "title_canon_sha256": "1fad5473d834ed469d66bcfdacd0983f401057259bd3f66986a1e0ecce1b6410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1308",
    "kind": "arxiv",
    "version": 3
  }
}