Pith Number

pith:BPR67L2G

pith:2019:BPR67L2GKZULDATQZA4KBHBNZD

not attested not anchored not stored refs pending

Canonical transformations and squeezing formalism in cosmology

Julien Grain, Vincent Vennin

arxiv:1910.01916 v2 · 2019-10-03 · astro-ph.CO · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPR67L2GKZULDATQZA4KBHBNZD}

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	2026-07-05T02:02:51.239251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be3efaf465668b18270c838a09c2dc8f2dd4d14f686c5f1aba1a6613a876227

Aliases

arxiv: 1910.01916 · arxiv_version: 1910.01916v2 · doi: 10.48550/arxiv.1910.01916 · pith_short_12: BPR67L2GKZUL · pith_short_16: BPR67L2GKZULDATQ · pith_short_8: BPR67L2G

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/BPR67L2GKZULDATQZA4KBHBNZD \
  | 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: 0be3efaf465668b18270c838a09c2dc8f2dd4d14f686c5f1aba1a6613a876227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c752840a90349fe7e4caf42d0032c4916a071eed2593d95f686b9117053812c4",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-10-03T05:42:47Z",
    "title_canon_sha256": "e64fba8417294b036a989d0465c86e16f77cf7fb1052312c3fc795b81aaeb55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01916",
    "kind": "arxiv",
    "version": 2
  }
}