Pith Number

pith:FAOCHF5E

pith:2024:FAOCHF5EO6WNBOXKGQ7KWLHTBQ

not attested not anchored not stored refs pending

Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy

Josh Kirklin, Julian De Vuyst, Philipp A. Hoehn, Stefan Eccles

arxiv:2412.15502 v3 · 2024-12-20 · hep-th · 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{FAOCHF5EO6WNBOXKGQ7KWLHTBQ}

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.

Cited by

11 papers in Pith

Quantum Reference Fields Transformations in Linearized Quantum Gravity

Rethinking quantum information in gravity and fields

On Perturbatively Dressed Observables

De Sitter Horizon Edge Partition Functions

Fiducial observers and the thermal atmosphere in the black hole quantum throat

Receipt and verification

First computed	2026-07-05T11:33:18.715412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281c2397a477acd0baea343eab2cf30c1ef5e04a6f4572171e14457f1422833b

Aliases

arxiv: 2412.15502 · arxiv_version: 2412.15502v3 · doi: 10.48550/arxiv.2412.15502 · pith_short_12: FAOCHF5EO6WN · pith_short_16: FAOCHF5EO6WNBOXK · pith_short_8: FAOCHF5E

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/FAOCHF5EO6WNBOXKGQ7KWLHTBQ \
  | 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: 281c2397a477acd0baea343eab2cf30c1ef5e04a6f4572171e14457f1422833b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203bc0cfa9deb014560cca2b9df53b1d8d4e799b3945d857b58474889f7c917c",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-20T02:29:55Z",
    "title_canon_sha256": "de656e387178fad61168360bd040c43bb2701c312ddb4fe1512a77fac05e050b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15502",
    "kind": "arxiv",
    "version": 3
  }
}