Pith Number

pith:HBY4ACF3

pith:2020:HBY4ACF3ADY6P33CA57OAYDCUH

not attested not anchored not stored refs pending

Real-time gravitational replicas: Formalism and a variational principle

Donald Marolf, Mukund Rangamani, Sean Colin-Ellerin, Xi Dong, Zhencheng Wang

arxiv:2012.00828 v4 · 2020-12-01 · hep-th · 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{HBY4ACF3ADY6P33CA57OAYDCUH}

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

4 papers in Pith

Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories

Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST

How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral

The yes boundaries wavefunctions of the universe

Receipt and verification

First computed	2026-07-05T02:51:12.013577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3871c008bb00f1e7ef62077ee06062a1dec46d85a02b450bde7a0a76dabf4cbb

Aliases

arxiv: 2012.00828 · arxiv_version: 2012.00828v4 · doi: 10.48550/arxiv.2012.00828 · pith_short_12: HBY4ACF3ADY6 · pith_short_16: HBY4ACF3ADY6P33C · pith_short_8: HBY4ACF3

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/HBY4ACF3ADY6P33CA57OAYDCUH \
  | 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: 3871c008bb00f1e7ef62077ee06062a1dec46d85a02b450bde7a0a76dabf4cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739a6d3bf61ec09db2a8f0e0ad51b78171ed987d82e4a8959220840b3e3d3e94",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-12-01T21:03:26Z",
    "title_canon_sha256": "25d85892774b298339af0b37ae54de9df3270408063352a6c018312753039d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.00828",
    "kind": "arxiv",
    "version": 4
  }
}