Pith Number

pith:A26RFWW7

pith:2007:A26RFWW7TOF4L2HIJK7FNQKSBM

not attested not anchored not stored refs pending

Second Order Gravitational Effects on CMB Temperature Anisotropy in Lambda dominated flat universes

Kaiki Taro Inoue, Kenji Tomita

arxiv:0712.1291 v2 · 2007-12-08 · astro-ph · 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{A26RFWW7TOF4L2HIJK7FNQKSBM}

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	2026-05-18T02:43:26.581952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bd12dadf9b8bc5e8e84abe56c1520b3645cd672a2c8591cb710db6beb6adcb

Aliases

arxiv: 0712.1291 · arxiv_version: 0712.1291v2 · doi: 10.48550/arxiv.0712.1291 · pith_short_12: A26RFWW7TOF4 · pith_short_16: A26RFWW7TOF4L2HI · pith_short_8: A26RFWW7

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/A26RFWW7TOF4L2HIJK7FNQKSBM \
  | 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: 06bd12dadf9b8bc5e8e84abe56c1520b3645cd672a2c8591cb710db6beb6adcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3861971959adc82b6fadf9790d20c02329ddc02da680b0112b9c3b658b89e687",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-12-08T16:53:40Z",
    "title_canon_sha256": "dcd5a9a21497d98ccbad21164bf0d0f1f5da2d582758899681b95f80c84ab7ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1291",
    "kind": "arxiv",
    "version": 2
  }
}