Pith Number

pith:TFZE5GIZ

pith:2017:TFZE5GIZ2RBOBM6KRTORSY77LD

not attested not anchored not stored refs pending

Axial and polar gravitational wave equations in a de Sitter expanding universe by Laplace transform

Stefano Viaggiu

arxiv:1701.02491 v2 · 2017-01-10 · 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{TFZE5GIZ2RBOBM6KRTORSY77LD}

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	2026-05-18T00:52:33.733385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99724e9919d442e0b3ca8cdd1963ff58da2b05e321f96d2f002290978965fc97

Aliases

arxiv: 1701.02491 · arxiv_version: 1701.02491v2 · doi: 10.48550/arxiv.1701.02491 · pith_short_12: TFZE5GIZ2RBO · pith_short_16: TFZE5GIZ2RBOBM6K · pith_short_8: TFZE5GIZ

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/TFZE5GIZ2RBOBM6KRTORSY77LD \
  | 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: 99724e9919d442e0b3ca8cdd1963ff58da2b05e321f96d2f002290978965fc97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd7314e3834665244e3fc0ea5445a7311dc29b89e4b4d299453014eed193130",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-01-10T09:30:47Z",
    "title_canon_sha256": "7e6f60f0a5f8a3e440001c2589413064e90e0d346812af62e712f6d795fa7bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02491",
    "kind": "arxiv",
    "version": 2
  }
}