Pith Number

pith:FNGNR5FM

pith:2017:FNGNR5FMCVTNRKJSXLZOKUMN33

not attested not anchored not stored refs pending

Primordial gravitational waves in a quantum model of big bounce

Herv\'e Bergeron, Jean Pierre Gazeau, Przemys{\l}aw Ma{\l}kiewicz

arxiv:1709.05851 v2 · 2017-09-18 · 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{FNGNR5FMCVTNRKJSXLZOKUMN33}

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	2026-05-18T00:14:54.522950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4cd8f4ac1566d8a932baf2e5518ddeed99101b2330557fa9e8d01c35878a06

Aliases

arxiv: 1709.05851 · arxiv_version: 1709.05851v2 · doi: 10.48550/arxiv.1709.05851 · pith_short_12: FNGNR5FMCVTN · pith_short_16: FNGNR5FMCVTNRKJS · pith_short_8: FNGNR5FM

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/FNGNR5FMCVTNRKJSXLZOKUMN33 \
  | 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: 2b4cd8f4ac1566d8a932baf2e5518ddeed99101b2330557fa9e8d01c35878a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723f67eae97bb449c7ba49a3b774154070094d4fe8f74d23494b3e56075921a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-09-18T10:33:07Z",
    "title_canon_sha256": "feea8e549e7745678829dd09be1c66d61f514f53199d47da378de0ec368f3aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05851",
    "kind": "arxiv",
    "version": 2
  }
}