Pith Number

pith:NBUPZKSX

pith:2020:NBUPZKSXOJH3YHIMTWXAIKEEL7

not attested not anchored not stored refs pending

The Upper Bound on the Tensor-to-Scalar Ratio Consistent with Quantum Gravity

Lina Wu, Qing Gao, Tianjun Li, Yiding Jia, Yungui Gong

arxiv:2010.13394 v1 · 2020-10-26 · 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{NBUPZKSXOJH3YHIMTWXAIKEEL7}

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	2026-07-05T02:55:34.290690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6868fcaa57724fbc1d0c9dae0428845fdf311d5ea578dbef59d740c1ecfbfea7

Aliases

arxiv: 2010.13394 · arxiv_version: 2010.13394v1 · doi: 10.48550/arxiv.2010.13394 · pith_short_12: NBUPZKSXOJH3 · pith_short_16: NBUPZKSXOJH3YHIM · pith_short_8: NBUPZKSX

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/NBUPZKSXOJH3YHIMTWXAIKEEL7 \
  | 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: 6868fcaa57724fbc1d0c9dae0428845fdf311d5ea578dbef59d740c1ecfbfea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ae3dc85067327b04d231faf0c4d5b9855e8f6457390b21ac94550bad149dcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-10-26T07:43:31Z",
    "title_canon_sha256": "8c480f91dae01e1b1c8d1e34ed66fcfff934d2c9478c7faaf2f2d37025afa14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.13394",
    "kind": "arxiv",
    "version": 1
  }
}