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Pith Number

pith:TTSRBJOE

pith:2017:TTSRBJOE25PN4SN54TYBGCGQOU
not attested not anchored not stored refs pending

CMB in the river frame and gauge invariance at second order

Omar Roldan

arxiv:1708.00441 v3 · 2017-08-01 · gr-qc · astro-ph.CO · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TTSRBJOE25PN4SN54TYBGCGQOU}

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 2026-05-18T00:17:54.630975Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9ce510a5c4d75ede49bde4f01308d075276c0792059cedf2f5fc145d89397729

Aliases

arxiv: 1708.00441 · arxiv_version: 1708.00441v3 · doi: 10.48550/arxiv.1708.00441 · pith_short_12: TTSRBJOE25PN · pith_short_16: TTSRBJOE25PN4SN5 · pith_short_8: TTSRBJOE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TTSRBJOE25PN4SN54TYBGCGQOU \
  | 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: 9ce510a5c4d75ede49bde4f01308d075276c0792059cedf2f5fc145d89397729
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b6360bdd535966db2d33347833c0dd1de20f4b8106442ccb0e134cca28e32681",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-08-01T15:36:37Z",
    "title_canon_sha256": "6019284b9fe78906d4e571ebd2a549e01c85993bee914703b25f989c572160b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00441",
    "kind": "arxiv",
    "version": 3
  }
}