Pith Number

pith:W77WKLUV

pith:2018:W77WKLUVC6AWKAINEPWM4VYPAV

not attested not anchored not stored refs pending

Dynamical Properties of the Mukhanov-Sasaki Hamiltonian in the context of adiabatic vacua and the Lewis-Riesenfeld invariant

Kristina Giesel, Max Joseph Fahn, Michael Kobler

arxiv:1812.11122 v3 · 2018-12-28 · 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{W77WKLUVC6AWKAINEPWM4VYPAV}

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	2026-07-05T05:21:38.578327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ff652e95178165010d23ecce570f055b4df3af35ffb189abf59548cd4ae745

Aliases

arxiv: 1812.11122 · arxiv_version: 1812.11122v3 · doi: 10.48550/arxiv.1812.11122 · pith_short_12: W77WKLUVC6AW · pith_short_16: W77WKLUVC6AWKAIN · pith_short_8: W77WKLUV

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/W77WKLUVC6AWKAINEPWM4VYPAV \
  | 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: b7ff652e95178165010d23ecce570f055b4df3af35ffb189abf59548cd4ae745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f569c61041e680060375a686b1f821c22f045e37567386e3622c6482a00191",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-28T17:35:10Z",
    "title_canon_sha256": "24a1aa76139eb0ea087b9aa409134be89b2a460d387de8d1c855a6cbe5010b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11122",
    "kind": "arxiv",
    "version": 3
  }
}