Pith Number

pith:2RZEZG27

pith:2012:2RZEZG27CW4E6CVWGJMGLKG52J

not attested not anchored not stored refs pending

Unitary evolution and uniqueness of the Fock quantization in flat cosmologies with compact spatial sections

Daniel Mart\'in-de Blas, Guillermo A. Mena Marug\'an, Jer\'onimo Cortez, Jos\'e. M. Velhinho, Laura Castell\'o Gomar

arxiv:1212.5677 v2 · 2012-12-22 · gr-qc · 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{2RZEZG27CW4E6CVWGJMGLKG52J}

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	2026-05-18T02:41:09.180763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4724c9b5f15b84f0ab6325865a8ddd25f0cd1cb02c2c239cdce5dbef102b525

Aliases

arxiv: 1212.5677 · arxiv_version: 1212.5677v2 · doi: 10.48550/arxiv.1212.5677 · pith_short_12: 2RZEZG27CW4E · pith_short_16: 2RZEZG27CW4E6CVW · pith_short_8: 2RZEZG27

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/2RZEZG27CW4E6CVWGJMGLKG52J \
  | 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: d4724c9b5f15b84f0ab6325865a8ddd25f0cd1cb02c2c239cdce5dbef102b525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed80e29f952269f6dc2299c06775ab9f0340e66e7fdab5e0e8a724b168bc119",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-22T10:28:57Z",
    "title_canon_sha256": "d7aff1951dc6766ee166a1055c270e04f218d804e22d2134c72659bed06e3762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5677",
    "kind": "arxiv",
    "version": 2
  }
}