Pith Number

pith:C32NSPXP

pith:2013:C32NSPXP5WFB26AB5S2ETMQ3W3

not attested not anchored not stored refs pending

Evolution of linear perturbations in spherically symmetric dust spacetimes

Chris Clarkson, Denis Pollney, Julien Larena, Sean February

arxiv:1311.5241 v2 · 2013-11-20 · 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{C32NSPXP5WFB26AB5S2ETMQ3W3}

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	2026-05-18T02:44:56.819707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f4d93eefed8a1d7801ecb449b21bb6d70ff50b8f2a7fda11e940454fb342e0

Aliases

arxiv: 1311.5241 · arxiv_version: 1311.5241v2 · doi: 10.48550/arxiv.1311.5241 · pith_short_12: C32NSPXP5WFB · pith_short_16: C32NSPXP5WFB26AB · pith_short_8: C32NSPXP

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/C32NSPXP5WFB26AB5S2ETMQ3W3 \
  | 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: 16f4d93eefed8a1d7801ecb449b21bb6d70ff50b8f2a7fda11e940454fb342e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f631145cf2215cc33341a06d9f5bd185b0360f9657ef229607531fca4460596",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-20T21:19:10Z",
    "title_canon_sha256": "ad15adc5399d479cff28fd359324b9734c4b2b78e4482f2d07ef798eaf494f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5241",
    "kind": "arxiv",
    "version": 2
  }
}