Pith Number

pith:4222H7JJ

pith:2015:4222H7JJMEWGSPNLBXNYJO7ULB

not attested not anchored not stored refs pending

Gravitational-wave implications for structure formation: A second-order approach

Christos G. Tsagas, Despoina Pazouli

arxiv:1512.02932 v3 · 2015-12-09 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4222H7JJMEWGSPNLBXNYJO7ULB}

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	2026-05-18T01:18:08.837673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b5a3fd29612c693dab0ddb84bbf4587a259f3091a3273303bbc1fa5bb7112c

Aliases

arxiv: 1512.02932 · arxiv_version: 1512.02932v3 · doi: 10.48550/arxiv.1512.02932 · pith_short_12: 4222H7JJMEWG · pith_short_16: 4222H7JJMEWGSPNL · pith_short_8: 4222H7JJ

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/4222H7JJMEWGSPNLBXNYJO7ULB \
  | 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: e6b5a3fd29612c693dab0ddb84bbf4587a259f3091a3273303bbc1fa5bb7112c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fda26936b8253ea9ec13bc74d9b083029ed447b7a9bf290f0a7a5b8ea2902fd",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-09T16:33:49Z",
    "title_canon_sha256": "68d98d2ad7f825d9df62f1d1302624552b41259907e6986a143b2ee757aa85b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02932",
    "kind": "arxiv",
    "version": 3
  }
}