pith. sign in
Pith Number

pith:BU4TODXU

pith:2003:BU4TODXUITDLA53MFV2D3WJHRR
not attested not anchored not stored refs pending

Loop quantum gravity effects on inflation and the CMB

Parampreet Singh (IUCAA), Roy Maartens (Portsmouth), Shinji Tsujikawa (Portsmouth)

arxiv:astro-ph/0311015 v3 · 2003-11-02 · astro-ph · gr-qc · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BU4TODXUITDLA53MFV2D3WJHRR}

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 2026-05-18T04:28:08.550423Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0d39370ef444c6b0776c2d743dd9278c646a174405b37b823c4696f1a907f3db

Aliases

arxiv: astro-ph/0311015 · arxiv_version: astro-ph/0311015v3 · doi: 10.48550/arxiv.astro-ph/0311015 · pith_short_12: BU4TODXUITDL · pith_short_16: BU4TODXUITDLA53M · pith_short_8: BU4TODXU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BU4TODXUITDLA53MFV2D3WJHRR \
  | 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: 0d39370ef444c6b0776c2d743dd9278c646a174405b37b823c4696f1a907f3db
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "264e7bd3801114f15ba366b2a1dc5a9d1c48b988c4874a86602073091e5f4000",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-11-02T11:37:49Z",
    "title_canon_sha256": "7bd018bb3873a6df3a5dcf89c7ae1730e75408aaa37cf6f293e05ca2f829de7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0311015",
    "kind": "arxiv",
    "version": 3
  }
}