Pith Number

pith:BL4QX3P3

pith:2019:BL4QX3P34WTXCGQVKENULFZJZL

not attested not anchored not stored refs pending

Primordial Gravitational Waves Spectrum in the Coupled-Scalar-Tachyon Bounce Universe

Nan Zhang, Yeuk-Kwan E. Cheung

arxiv:1901.06423 v1 · 2019-01-18 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BL4QX3P34WTXCGQVKENULFZJZL}

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	2026-07-05T00:48:13.792682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af90bedfbe5a7711a15511b459729cade3b130195aebb9d612cb520ae8dbcf3

Aliases

arxiv: 1901.06423 · arxiv_version: 1901.06423v1 · doi: 10.48550/arxiv.1901.06423 · pith_short_12: BL4QX3P34WTX · pith_short_16: BL4QX3P34WTXCGQV · pith_short_8: BL4QX3P3

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/BL4QX3P34WTXCGQVKENULFZJZL \
  | 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: 0af90bedfbe5a7711a15511b459729cade3b130195aebb9d612cb520ae8dbcf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0efa357559c4b4ac4895ab7ec186663257ffc655633d73afff93558d89d14477",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-01-18T21:49:27Z",
    "title_canon_sha256": "ebeca2db7476d576e85fec2d74fb593f890b6e191dc180e8b95eb6662f6083a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06423",
    "kind": "arxiv",
    "version": 1
  }
}