Pith Number

pith:HJ5QUZU7

pith:2015:HJ5QUZU7E57CSQNZOGZM3OMGFB

not attested not anchored not stored refs pending

Killing vectors of FLRW metric (in comoving coordinates) and zero modes of the scalar Laplacian

Harini Desiraju, N. D. Hari Dass

arxiv:1511.07142 v3 · 2015-11-23 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJ5QUZU7E57CSQNZOGZM3OMGFB}

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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	2026-05-18T01:19:57.121137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7b0a669f277e2941b971b2cdb986284b7d04ffde054306481b3d9a07f1553b

Aliases

arxiv: 1511.07142 · arxiv_version: 1511.07142v3 · doi: 10.48550/arxiv.1511.07142 · pith_short_12: HJ5QUZU7E57C · pith_short_16: HJ5QUZU7E57CSQNZ · pith_short_8: HJ5QUZU7

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/HJ5QUZU7E57CSQNZOGZM3OMGFB \
  | 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: 3a7b0a669f277e2941b971b2cdb986284b7d04ffde054306481b3d9a07f1553b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa26b6c2aafbcafbaa51ed5f42e254bc8459e54513353acf4e462102761f545",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-23T09:06:00Z",
    "title_canon_sha256": "99781b11a63a9175323180896dcc807c76795280edc15dea569765e1a589a68d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07142",
    "kind": "arxiv",
    "version": 3
  }
}